If f(x) = 3x + 2 and
g(x) = 2x- 2,
what is (f - g)(x)?
A. x+4
B. x-2
C. x
D. 5x – 2
E. x-4

Answers

Answer 1

Answer:

A. x + 4

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) = 3x + 2, g(x) = 2x - 2.

Substitute:

(f - g)(x) = (3x + 2) - (2x - 2) = 3x + 2 - 2x - (-2) = 3x + 2 - 2x + 2

combine like terms

(f - g)(x) = (3x - 2x) + (2 + 2) = x + 4


Related Questions

St has endpoint S(-2,-4) and T(6,8). Find the coordinates of the midpoint of ST

Answers

Answer:

[tex]\large\boxed{(2,2)}[/tex]

Step-by-step explanation:

In this question, we're trying to find the midpoint of the line segment "ST"

In order to find the midpoint, we're going to need to sue the midpoint formula.

Mid point formula:

[tex]m=({\frac{x1+x2}{2}},\frac{y1+y2}{2})[/tex]

You would plug the numbers into the right spot. Plugging the first "x" coordinate to x1 and etc.

Your equation should look like this:

[tex]m=({\frac{-2+6}{2}},\frac{-4+8}{2})[/tex]

Now you will solve:

[tex]m=({\frac{-2+6}{2}},\frac{-4+8}{2})\\\\\text{Lets add all the numbers}\\\\m=({\frac{4}{2}},\frac{4}{2})\\\\\text{Now, you would simply divide the fractions}\\\\m=(2,2)[/tex]

When you're done solving, you should get (2,2)

This means that the midpoint of ST is (2,2)

I hope this helped you out.Good luck on your academics.Have a fantastic day!

The formula for midpoint is ([tex]\frac{x_{1}+x_{2}}{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex])

In this case:

[tex]x_{1} =-2\\x_{2} =6\\y_{1} =-4\\y_{2} =8[/tex]

^^^Plug in these number into the formula given above...

([tex]\frac{-2 + 6}{2}[/tex], [tex]\frac{-4 + 8}{2}[/tex])

([tex]\frac{4}{2}[/tex], [tex]\frac{4}{2}[/tex])

Simplify the fractions:

(2, 2)

^^^This is the coordinate of the midpoint

Hope this helped!

~Just a girl in love with Shawn Mendes

When graphing any equation what is a great fall back plan if you can't remember the learned procedure?

Estimate

Create a t-chart to graph the coordinates

Solve for y and use the slope-intercept form

Find the 0's of the function

Answers

Answer:

Estimate

Step-by-step explanation:

Estimation is the process by which we deduce a close value to the required value through the method of approximation.

A graph is one of the tools used for finding the exact value of a limit. It can help us to approximate a limit by allowing us to estimate the finite value we're approaching as we get closer asymptotically to some independent variable values.

When working with graphs, the best we can do is estimate the value of limits in an appropriate step or procedure.

Therefore, the great fall back plan hen working with graph is to estimate.

Answer: Create a t-chart to graph the coordinates

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 2y = 12
- x= -y-6
O A. (6.0)
O B. (8,2)
C. (9,3)
(7.1)

Answers

Answer:

The correct option is B....

Step-by-step explanation:

The  given equation is:

x + 2y = 12  -----equation 1

- x= -y-6. -------equation 2

lets take equation 2:

-x=-y-6

Take minus as common on R.H.S

-x= -(y+6)

x=y+6  (Lets call it equation 3)

Substitute the value of x in the first equation:

x+2y=12

y+6+2y=12

Combine the like terms:

y+2y = 12-6

3y=6

Divide both the sides by 3

3y/3=6/3

y=2

Now substitute the value of y in equation 3:

x=y+6

x=2+6

x=8

Thus the solution set is (x,y){(8,2)}.

The correct option is B....

Answer:

B. (8,2)

Step-by-step explanation:

Apex

Hope this helps Have a nice day

The greater unit rate of the two functions is . The greater y intercept of the two functions is

Answers

Answer:

Part 1) The greater unit rate of the two functions is the linear function of the table

Part 2) The greater y intercept of the two functions is the linear equation of the graph

Step-by-step explanation:

we know that

The rate of a linear function is equal to the slope

step 1

Find the slope of the linear equation in the table

we have

(0,5) and (5,15)

The slope is equal to

[tex]m=(15-5)/(5-0)=10/5[/tex]

To find the unit rate divide by 5 both numerator and denominator

[tex]m=2/1=2[/tex]

step 2

Find the slope of the linear equation of the graph

we have

(-4,0) and (0,6)

The slope is equal to

[tex]m=(6-0)/(0+4)=6/4=3/2[/tex]

To find the unit rate divide by 2 both numerator and denominator

[tex]m=1.5/1=1.5[/tex]

Compare the unit rate of the two linear equations

2 > 1.5

therefore

The greater unit rate of the two functions is the linear function of the table

step 3

Find the y-intercepts of the linear equations

Remember that the y-intercept is the value of y when the value of x is equal to zero

Linear equation of the table

Observing the table

For x=0, y=5

therefore

The y-intercept of the linear equation of the table is the point (0,5)

Linear equation of the graph

Observing the graph

For x=0, y=6

therefore

The y-intercept of the linear equation of the table is the point (0,6)

Compare the y-intercept both functions

6 > 5

therefore

The greater y intercept of the two functions is the linear equation of the graph

Answer:

the greater unit rate is 2 and the greater y intercept is 6

Step-by-step explanation:

What is the area of a cross section that is parallel to face BFGC ?


Enter your answer in the box.

Answers

Answer:

224 square centimeters

Step-by-step explanation:

If you slice this rectangular prism parallel to the face BFCG, you will get another cross section that is a rectangle with base 32 cm and height 7 cm.

We know area of rectangle = base * height

Thus, the area of the cross section is 7 * 32 = 224 square centimeters.

Answer:

The answer for K12 is 216

NOT 224 i got it wrong on the test

Have a great day guys! You can do it!

Step-by-step explanation:

The longest side of an isosceles triangle is 11 cm less than twice as long as the other sides. The perimeter of the triangle is 49 cm. Find the lengths of the three sides and list them in ascending order.
___cm, ____cm, ____cm

Answers

Answer:

15 cm, 15 cm, and 19 cm

Step-by-step explanation:

Isosceles Triangle is a type of triangle in which two of the three sides are equal in length. The perimeter is 49 cm. Therefore, in this question, since the sides are unknown, we can assume that:

Length of the longer side = x cm.

Length of the other sides = y cm.

The relationship between x and y is given by:

x = (2y - 11) cm (because it is mentioned that the longest side is 11 cm less than twice as long as the other sides).

Perimeter of a triangle = sum of all sides.

Since its an isosceles triangle, therefore:

Perimeter of the triangle = x + 2y.

Substituting the values in the perimeter formula gives:

Perimeter of the triangle = 2y - 11 + 2y.

49 = 4y - 11.

4y = 60.

y = 15 cm.

Substituting y = 15 in the equation x = 2y - 11 gives x = 2(15) - 11 = 19 cm.

So in the ascending order, the lengths are 15 cm, 15 cm, and 19 cm!!!

Final answer:

To solve for the lengths of the sides of the isosceles triangle, we create an equation based on the given perimeter and the relationship between the sides. After simplifying, we find that each of the equal sides is 15 cm and the longest side is 19 cm. Thus, the sides in ascending order are 15 cm, 15 cm, 19 cm.

Explanation:

The question involves finding the lengths of the sides of an isosceles triangle given the perimeter and a relationship between its sides. Let the length of the two equal sides be x cm. According to the problem, the longest side would be 2x - 11 cm. The perimeter of the triangle is the sum of the lengths of all sides, which is given as 49 cm.

Now we set up the equation:

x + x + (2x - 11) = 49

Combining like terms, we get:

4x - 11 = 49

Adding 11 to both sides of the equation, we get:

4x = 60

Dividing both sides by 4, we find:

x = 15

The lengths of the two equal sides are each 15 cm, and the longest side is:

2(15) - 11 = 30 - 11 = 19 cm

So, the lengths of the sides in ascending order are: 15 cm, 15 cm, 19 cm

If ABCD is a parallelogram, what is the value of x?

Answers

Answer:

x = 44

Step-by-step explanation:

Adjacent angles in a parallelogram add up to 180 degrees.

180 = 3x + 6 + 42

132 = 3x

x = 44

Please mark for Brainliest!!  :D Thanks!

For any questions, please comment below and I'll respond ASAP! :)

Answer:

x = 44

Step-by-step explanation:

In each parallelogram angles at one side add up to 180°.

Therefore we have the equation:

[tex](3x+6)+42=180[/tex]

[tex]3x+(6+42)=180[/tex]

[tex]3x+48=180[/tex]     subtract 48 from both sides

[tex]3x=132[/tex]          divide both sides by 3

[tex]x=44[/tex]

For two weeks, Mark recorded the color of the traffic light at the intersection of Main Street and North Avenue as his bus approached the
intersection. He created this frequency table. What data did he collect to create this frequency table?

Answers

Answer:

red, red, red, red, red, red, green, red, red, yellow

A. red, red, red, red, red, red, green, red, red, yellow

Frequency state to the number of times an event and the value occurs. A frequency table is a table that lists items or shows the number of times the items occur. We represent a frequency by the English alphabet ‘f’.

From the frequency table, there are 8 red lights, 1 green light and 1 yellow light for a total of 10 lights.

In option A, there are 8 red lights, 1 green light and 1 yellow light, with 10 total lights.  This is the correct option.

How do you calculate frequency table?

Put the results in numerical order (in the frequency table this will already be done)Count the total amount of results or add 1Divide this by two to find the position of the middle resultFind the middle result on the numerically ordered list and frequency tableYou will then have the median of the set of the results

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A circle has its center at (1, 4) and a radius of 2 units. What is the equation of the circle?

Answers

Answer:

[tex](x-1)^2+(y-4)^2=4[/tex].

Step-by-step explanation:

So the standard form of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center and r is the radius.

You are given (h,k)=(1,4) and r=2.

So we are going to plug in 1 for h, 4 for k, and 2 for r:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-1)^2+(y-4)^2=2^2[/tex]

[tex](x-1)^2+(y-4)^2=4[/tex].

Answer:

(x-1)^2 + (y+4)^2 = 4

Step-by-step explanation:

APEXXXX

PLEASE HELP!!! WILL MARK BRAINLIEST
If you lean a ladder against a wall, the length of the ladder should be square root of (x)^2+(4x)^2ft to be considered safe. The distance x is how far the ladder's base is from the wall. estimate the desired length of the ladder when the base is positioned 5 ft from the wall. round your answers to the nearest tenth

Answers

Answer: 11.18

Step-by-step explanation:

You’re substituting 5 for x in the equations...

Sqrt[x^2+4x^2]

Sqrt[5^2+4(5)^2]

Sqrt[25+4(25)]

Sqrt[25+100]

Sqrt[125]

Final answer:

In the provided equation, substituting x with 5 and simplifying gives us the square root of 425, which is approximately 20.6. Therefore, the estimated length of the ladder when the base is 5 ft from the wall is about 20.6 feet.

Explanation:

In this problem, the length of the ladder should be the square root of the sum (x)^2 and (4x)^2. In this equation, you're given that the base of the ladder is 5 feet from the wall, represented by 'x'. First substitute x with 5 into the equation: √[(5)^2 + (4*5)^2]. This simplifies to √[25 + 400] = √425. The square root of 425 is about 20.6. Therefore, if you round it to the nearest tenth, the desired length of the ladder when the base is positioned 5 ft from the wall is approximately 20.6 feet.

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Key Club hosted a fundraising event where the profit they made depends on the number of people. If 100 people attend they make $2500. If 80 people attend they make $1500.
like can someone help me please?

Answers

Answer:

The linear equation that represent this problem is [tex]y=50x-2,500[/tex]

Step-by-step explanation:

Let

x -----> the number of people

y ----> the profit in dollars

we have

For x=100, y=2,500

and

For x=80, y=1,500

Find the slope m

we have

(80,1,500) and (100,2,500)

The slope is equal to

[tex]m=(2,500-1,500)/(100-80)\\ \\m=50\frac{\$}{people}[/tex]

Find the equation of the line into point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=50[/tex] and point (100,2,500)

substitute

[tex]y-2,500=50(x-100)[/tex] ----> equation in slope point form

Convert to slope intercept form

[tex]y=50x-5,000+2,500[/tex]

[tex]y=50x-2,500[/tex]

what is the perimeter of a polygon abcd vertex a(5,12) b(9,9) c(12,5) d(0,0)
a.28 units
b.32 units
c.36 units
d.44 units

Answers

Answer:

36

Step-by-step explanation:

We have to compute 4 distances and then add them up.

It may help to draw this first to see which distances to compute.

So I'm going to start with computing the distance from (0,0) to (5,12), then from (5,12) to (9,9), then from (9,9) to (12,5), and then finally from (12,5) to (0,0).

So distance from (0,0) to (5,12)

d=sqrt((5-0)^2+(12-0)^2)=sqrt(25+144)=sqrt(169)=13

Distance from (5,12) to (9,9)

d=sqrt((9-5)^2+(12-9)^2)=sqrt(4^2+3^2)=sqrt(16+9)=sqrt(25)=5

Distance from (9,9) to (12,5)

d=sqrt((12-9)^2+(9-5)^2)=sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)=5

Distance from (12,5) to (0,0)

d=sqrt((12-0)^2+(5-0)^2)=sqrt(12^2+5^2)=sqrt(144+25)=sqrt(169)=13.

Up all of our distances 13+5+5+13=(13+13)+(5+5)=26+10=36

Answer:

c. 36

Step-by-step explanation:

that is what that one says up there

the variable z is directly proportional to x, and inversely proportional to y. when x is 9 and y is 6, z has the value 19.5. what is the value of z when x=14, and y=7

Answers

Answer: Z=30.8 when X=14 and Z=16.7 when Y=7

Step-by-step explanation:

Z is directly proportional to X: Z=K*X, Where K is a constant

Z is inversely proportional to Y:[tex]Z=\frac{K_{1} }{Y}[/tex] where [tex]K_{1}[/tex] is another constant.

When Z=19.5 ,   X=9 , Using this condition we find K value  

19.5=K*9 so, K=[tex]K=\frac{19.5}{9}[/tex]=2,2

When Z=19.5 ,   Y=6 , Using this condition we find [tex]K_{1}[/tex] value  

19.5=[tex]\frac{K_{1} }{6}[/tex] so, [tex]K_{1}[/tex]=19.5*6=117

So, When X=14,  Z= 2.2*14=30.8

When Y=7  Z= [tex]\frac{117}{7}[/tex]=16.7

Narine is solving the equation √3q=6 for q. Her work is shown

A=6
B=2

A=9
B=3

A=12
B=4

A=36
B=12

Answers

Answer:

3q = 36

q = 12

Step-by-step explanation:

Just work out the steps and compare to the choices

√(3q) = 6

[√(3q)]² = 6²

3q = 36  (Answer)

q = 36/3 = 12 (Answer)

A=36 and B=12 is the required steps for the equation √3q=6 given that 3q=A and q=B. This can be obtained by finding the remaining steps for finding q.

What is the required answer?

Given that √3q=6

              (√3q)²=6²

                   3q = 6×6 = 36 ⇒ A = 36 (squaring both sides)

                     q = 36/3 = 12 ⇒ B = 12 (divide both sides by 3)

Hence A=36 and B=12 is the required steps for the equation √3q=6 given that 3q=A and q=B.

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Of the 8 solo acts, 75% sang a song. How many of the solo performers were singers? A. 4. B. 5. C. 6. D. 7.

Answers

Multiply 8 and 75% together

75/100 divide by 5

15/20 divide by 5

15/20=3/4

8*3/4

Cross out 8 and 4 , divide by 4

2*3= 6

Answer is 6- C.

Answer:

C. 6.

Step-by-step explanation:

We multiply the number of solo acts by the percent that were singers

8 * 75%

8 * .75

6


A line passes through the points (1, –6) and (4, 3).


What is the y-intercept of this line?
–9
–3
3
9

Answers

Answer:

y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3+6}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3

y = 3x + c ← is the partial equation

To find c substitute any of the 2 points into the partial equation

Using (4, 3), then

3 = 12 + c ⇒ c = 3 - 12 = - 9, hence

y- intercept c = - 9 ⇒ (0, - 9 )

Answer:

=-9 (the first choice)

Step-by-step explanation:

To find the y-intercept we must first find the equation of the line in the form y=mx + c where m is the gradient and c is the y- intercept.

m=Δy/Δx

=(3--6)/(4-1)

=9/3

=3

Let us write the equation using any of the given points, say (4,3)

(y-3)/(x-4)=3

y-3=3(x-4)

y-3=3x-12

y=3x-12+3

y=3x-9

Using the format y=mx+c, the y-intercept is -9


Question 1 (Essay Worth 10 points)
(07.02 MC)

The lengths of three sides of a quadrilateral are shown below:

Side 1: 4y + 2y2 − 3

Side 2: −4 + 2y2 + 2y

Side 3: 4y2 − 3 + 2y

The perimeter of the quadrilateral is 22y3 + 10y2 + 10y − 17.

Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)

Part B: What is the length of the fourth side of the quadrilateral? (4 points)

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)



Question 2 (Essay Worth 10 points)
(07.01, 07.06 MC)

The side of a square measures (2x − 5) units.

Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)



Question 3 (Essay Worth 10 points)
(07.09 HC)

A container of oil has spilled on a concrete floor. The oil flow can be expressed with the function n(t) = 7t, where t represents time in minutes and n represents how far the oil is spreading.

The flowing oil is creating a circular pattern on the concrete. The area of the pattern can be expressed as A(n) = πn2.

Part A: Find the area of the circle of spilled oil as a function of time, or A[n(t)]. Show your work. (6 points)

Part B: How large is the area of spilled oil after 8 minutes? You may use 3.14 to approximate π in this problem. (4 points)


Answers

Answer:

Question 1

Part A: The total length of sides 1, 2, and 3 is (8y² + 8y - 10)

Part B: The length of the fourth side is 22y³ + 2y² + 2y - 7

Part C: Yes the answers for Part A and Part B show that the polynomials are closed under addition and subtraction

Question 2

Part A: The expression of the area of the square is 4x² - 20x + 25

Part B: The degree and classification of the expression obtained in part A

are second degree and trinomial

Part C: The polynomials are closed under multiplication

Question 3

Part A: The function of the area of the circle of spilled oil is 49 πt²

Part B: The area of the spilled oil after 8 minutes is 9847.04 units²

Step-by-step explanation:

* Lets explain how to solve the problems

# Question 1

∵ The length of the three sides of a quadrilateral are

- Side 1: 4y + 2y² - 3

- Side 2: -4 + 2y² + 2y

- Side 3: 4y² - 3 + 2y

- The perimeter of the quadrilateral is 22y³ + 10y² + 10y − 17

* Part A:

- To find the total length of sides 1, 2, and 3 of the quadrilateral

  add them

∴ s1 + s2 + s3 = (4y + 2y² - 3) + (-4 + 2y² + 2y) + (4y² - 3 + 2y)

- Collect the like terms

∴ S1 + S2 + S3 = (2y² + 2y² + 4y²) + (4y + 2y + 2y) + (-3 + -4 + -3)

∴ S1 + S2 + S3 = 8y² + 8y + (-10) = 8y² + 8y - 10

* The total length of sides 1, 2, and 3 is (8y² + 8y - 10)

* Part B:

∵ The perimeter of the quadrilateral is the sum of its 4 sides

∴ The length of its fourth side is the difference between its

   perimeter and the sum of the other 3 sides

∵ The perimeter of the quadrilateral is 22y³ + 10y² + 10y − 17

∵ The sum of the three sides is (8y² + 8y - 10)

∴ The length of the 4th side = (22y³ + 10y² + 10y − 17) - (8y² + 8y - 10)

- Remember that (-)(+) = (-) and (-)(-) = (+)

∴ S4 = 22y³ + 10y² + 10y - 17 - 8y² - 8y + 10

- Collect the like terms

∴ S4 = (22y³) + (10y² - 8y²) + (10y - 8y) + (-17 + 10)

∴ S4 = 22y³ + 2y² + 2y + (-7) = 22y³ + 2y² + 2y - 7

* The length of the fourth side is 22y³ + 2y² + 2y - 7

* Part C:

- Polynomials will be closed under an operation if the operation

 produces another polynomial

∵ In part A there are 3 polynomials add to each other and the answer

  is also polynomial

∴ The polynomials are closed under addition

∵ In part B there are 2 polynomial one subtracted from the other and

  the answer is also polynomial

∴ The polynomials are closed under subtraction

* Yes  the answers for Part A and Part B show that the polynomials

  are closed under addition and subtraction

# Question 2

∵ The side of a square measure (2x - 5) units

* Part A:

∵ The are of the square = S × S, where S is the length of its side

∵ S = 2x - 5

∴ The area of the square = (2x - 5) × (2x - 5)

- Multiply the two brackets using the foil method

∵ (2x - 5)(2x - 5) = (2x)(2x) + (2x)(-5) + (-5)(2x) + (-5)(-5)

∴ (2x - 5)(2x - 5) = 4x² + (-10x) + (-10x) + 25

- Add the like terms

∴ (2x - 5)(2x - 5) = 4x² + (-20x) + 25 = 4x² - 20x + 25

∴ The area of the square = 4x² - 20x + 25

* The expression of the area of the square is 4x² - 20x + 25

* Part B:

∵ The greatest power in the expression obtained in Part A is 2

∴ Its degree is second

∵ The expression obtained in part A has three terms

∴ The expression obtained in Part A is trinomial

* The degree and classification of the expression obtained in Part A

  are second degree and trinomial

* Part C:

- Polynomials will be closed under an operation if the operation

 produces another polynomial

∵ (2x - 5) is polynomial

∵ (4x² - 20x + 25) is polynomial

∴ The product of two polynomials give a polynomial

∴ The polynomials are closed under multiplication

# Question 3

∵ n(t) = 7t, where t represents time in minutes and n represents how

  far the oil is spreading

∵ The area of the pattern can be expressed as A(n) = πn²

* Part A:

- To find the area of the circle of spilled oil as a function of time, then

  find the composite function A[n(t)]

- That means replace n in A(n) by the function n(t)

∵ n(t) = 7t

∴ A[n(t)] = A(7t)

∵ A(n) = πn²

- Replace n by 7t

∴ A(7t) = π (7t)² = 49 πt²

∴ A[n(t)] = 49 πt²

* The function of the area of the circle of spilled oil is 49 πt²

* Part B:

∵ The area of the circle of spilled oil in t minutes = 49 πt²

- To find the area of the circle of spilled oil after 8 minutes substitute

  t by 8

∴ Area of the spilled oil after 8 minutes = 49 π (8)²

∵ π = 3.14

∴ Area of the spilled oil after 8 minutes = 49(3.14)(64) = 9847.04

* The area of the spilled oil after 8 minutes is 9847.04 units²

Which of these states had no state income tax in 2009?
O A. Wyoming
O B. Hawaii
O C. California
O D. Massachusetts

Answers

Wyoming hope this helps:)))

A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?

Answers

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

[tex]\sqrt{(x \text{ difference })^2+(y \text{ difference})^2[/tex]

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

[tex]\sqrt{4^2+3^2}[/tex]

[tex]\sqrt{16+9}[/tex]

[tex]\sqrt{25}[/tex]

[tex]5[/tex]

Value of X- intercept

Answers

What is the x-intercept of the equation 2x - 3y = 6

Answer: a.) 3

Step-by-step explanation:

Using the common convention that the horizontal axis represents variable x and the vertical axis represents variable y, then x-intercept or horizontal intercept is a point where the graph of the function intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 where the line crosses the x-axis.

Then replacing this value in the equation

2x-3y = 6

2x - 3*0 = 6

2x = 6

x = 6/2 = 3

The x-intercept is 3

Answer: a.) 3

[tex]\textit{\textbf{Spymore}}[/tex]

Answer:

a 3

Step-by-step explanation:

Given

2x - 3y = 6

To find the x- intercept substitute y = 0 into the equation and solve for x

2x - 3(0) = 6

2x = 6 ( divide both sides by 2 )

x = 3 ← x- intercept

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

PLEASE HELP ME
!!!!!1

Answers

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The Side-Angle-Side Similarity Theorem states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU  and side ST must be proportional to side UT

so

RS/VU=ST/UT

Verify

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

2. Find the next three terms in the sequence.
2.5, 5, 10, 20, ...
A 40, 80, 160
B 25, 30, 35
C 50, 100, 200
D 30, 40, 50

Answers

Answer:

A 40, 80, 160

Step-by-step explanation:

Given:

2.5, 5, 10, 20, ...

geometric sequence has a constant ratio r and is given by

an=a1r(r)^(n-1)

where

an=nth term

r=common ratio

n=number of term

a1=first term

In given series:

a1=2.5

r= a(n+1)/an

r=5/2.5

r=2

Now computing next term a5

a5=a1(r)^(n-1)

   = 2.5(2)^(4)

   = 40

a6=a1(r)^(n-1)

   = 2.5(2)^(5)

   =80

a7=a1(r)^(n-1)

   = 2.5(2)^(6)

   =160

So the sequence now is 2.5, 5, 10, 20,40, 80, 160!

A fair die is rolled 10 times. What is the average number of even number outcomes?

Answers

Answer:

3/6=1/2 so one half

Step-by-step explanation:

3/6 × 10 =30/60=3/6=1/2

Answer:

Average number of even number outcomes =5

Step-by-step explanation:

Probability = number of possible outcome / sample space

A fair die has sides labeled 1,2,3,4,5,6.

Therefore sample space = 6

Odd numbers = 1,3,5

Possible outcome of odd numbers = 3

Even numbers = 2,4,6

Possible outcome of even numbers = 3

Probability of even numbers = possible outcome of even numbers / sample space

Probability of even numbers = 3/6 = 1/2.

If the die is rolled 10times

Total number of outcome = 10

Average number of even number outcomes = probability of even numbers * total number of outcome

= 1/2 x 10

= 5

Average number of even number outcomes =5

Which of the following terms does not describe a trapezoid? A. a parallelogram B. a polygon C. a quadrilateral D. a quadrangle

Answers

Answer:

a. A parallelogram

Step-by-step explanation:

A trapezoid is a four-sided flat shape with a pair of parallel sides.

A parallelogram has two pairs of parallel sides.

b. can apply to a trapezoid. A polygon has three or more sides.

c. can apply to a trapezoid. A quadrilateral has four sides.

d. can apply to a trapezoid. A shape with four angles is also a quadrilateral.

The term that does not describe a trapezoid is A. a parallelogram.

The term that does not describe a trapezoid is A. a parallelogram. A trapezoid is indeed a polygon, which by definition is a plane figure with at least three straight sides and angles. Also, a trapezoid is a type of quadrilateral or quadrangle, meaning it has four sides. However, unlike a parallelogram, a trapezoid only has one pair of parallel sides, while a parallelogram has two pairs of parallel sides. The distinct characteristic of a parallelogram is that its opposite sides are not only parallel but also equal in length, which does not apply to a trapezoid.

Which expression is equivalent to the expression below? (X/x+4)/x

Answers

Answer:

[tex]\frac{1}{x+4}[/tex]

Step-by-step explanation:

because you want to do [tex]\frac{x}{x+4}[/tex] divided by 4 which would end up being [tex]\frac{x}{x(x+4)}[/tex] then you cancel out the x and you are left with [tex]\frac{1}{x+4}[/tex]

For this case we must find an expression equivalent to:

[tex]\frac {\frac {x} {x + 4}} {x}[/tex]

Applying double C we have:

[tex]\frac {x} {x (x + 4)} =[/tex]

We simplify common terms of the numerator and denominator:

[tex]\frac {1} {x + 4}[/tex]

Finally we have:

[tex]\frac {1} {x + 4}[/tex]

Answer:

[tex]\frac {1} {x + 4}[/tex]

find the height of a square pier amid that has a volume of 32 ft.³ and a base length of 4 feet

answers
2 feet
4 feet
6 feet
8 feet

Answers

Answer:

8 feet

Step-by-step explanation:

The formula of a volume of a square pyramid:

[tex]V=\dfrac{1}{3}s^2H[/tex]

s - base length

H - height

We have the volume V = 32 ft³ and the base length s = 4 ft.

Substitute and solve for H:

[tex]\dfrac{1}{3}(4^2)H=32\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}(16)H=(3)(32)\\\\16H=96\qquad\text{divdie both sides by 16}\\\\H=\dfrac{96}{16}\\\\H=8\ ft[/tex]

A soda company makes different flavors of soda. Last year, the company produced the same number of bottles of each flavor. If the company produced 509,080 bottles of soda in all last year, how many different flavors could the company make?

Select all possible numbers:

3, 5, 8, 6

Answers

5 and 8. You would divide 509080 by each number, and 5 and 8 are the only ones that come out evenly without decimals

Answer:

the only answers are 8 and 5

Given the graph below, identify the list that has each point correctly identified. PLEASEEE HELPPP​

Answers

Answer:

the answer you picked is the right one.

Find the missing number to make these fractions equal.

3/4 = ?/8

Answers

The answer is 6, reaosn is because 6/8 is not simplified, so if we divide both sides by 2 (the numerator and the denominator), we can get a simplified fraction, which is 3/4. Steps: 6/8, 6 divided by 2/8 divided by 2, 3/4.

Hope this helped!

Nate

A fraction is a way to describe a part of a whole. The missing number that will make this fraction equal is 6.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The missing number in the given fraction can be found as shown below,

3/4 = ?/8

? = 8 × (3/4)

? = 6

Hence, the missing number that will make this fraction equal is 6.

Learn more about Fraction here:

https://brainly.com/question/1301963

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determine whether the proportion is true or false 15/33 equals 22 / 46​

Answers

Answer: False

Step-by-step explanation:

Lets assume 15/33=22/46

15x46=22x33 (according to the cross multiply rule)

690=726

Here^^ clearly the answer is not equal thus, the answer is false, hope this was helpful :D

The given proportion is not correct.

We have to given that,

Expression for proportion is,

15/33 = 22/46

Now, WE can simplify each fraction as,

15/33 = 5/11

22/46 = 11/13

Clearly, 5/11 ≠ 11/13

Hence, The given proportion is not correct.

Learn more about the fraction visit:

https://brainly.com/question/5454147

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