Write (1/3i)-(-6+2/3i) as a complex number in standard form

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

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]

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.

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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Answer:

the answer you picked is the right one.

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

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

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.

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.

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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

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!

Answer:

Option 2

Step-by-step explanation:

Given

B = (-6,1)

B' = (-3,-2)

Step 1: Substitute the original and translated coordinates into (x,y) => (x+a,y+b)

B(-6,1) => B'(-6+a , 1+b) = B'(-3,-2)

Step 2: Write two equations

-6+a = -3 => a = -3+6 = 3

1+b=-2 => b = -2-1 = -3

Hence, we can conclude that Indira wrote the equations wrong which was her first error.

Therefore, Option 2 is correct ..

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.

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]

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.

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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:

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

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

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:

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]

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:

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.

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Answer:

the only answers are 8 and 5

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)

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

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

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

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]

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

Answer:

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]

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

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

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

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]