Find the center of a circle with the equation:
x2+y2+10x−16y+75=0

Answer:

The correct answer options are:

Circle E

Circle F

Step-by-step explanation:

We are given that a circle A has a radius of 6 and we are to determine whether which of the circles from the answer options are congruent to circle A.

We know that radius is the distance from the center of the circle to any point on circle's circumference.

Circle E, F show the radius of 6, therefore they are congruent to circle A.

Answer:

The correct option is A.

Step-by-step explanation:

The correct option is A.

According to the given statement:

Average of 20 numbers= 0.

So we have avg = sum/20.

That implies sum = 0.

Hence at the most, there can be 19 positive numbers.  

(Such that if the sum of these 19 positive numbers is x, 20th number will be -x)....

Correct Option is C.

Independent Event:

Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

Here, Some animals may be blue without two heads and also may be with two heads without blue.

So, It is an independent event, As there occurrence is not dependent on other events.

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Answer:

Explanation:

The time to cross the finish line may be found using the speed vs. time equation:

From which you can solve for time:

Using the last equation, you can find the difference in the times for Malcolm and Joshua, but, since the speed must be expressed in miles per minutes, and the given data are minutes per mile, first you must convert the data.

Miles per minute is the inverse of minutes per mile, so the corresponding speeds are:

Hence, Joshua will cross the finish line 20 minutes after Malcolm crosses the finish line.

Answer:

456+56+54+4+4

Step-by-step explanation:

65+465+5+56

sorry, for the 4 items i got it wrong.

5 items: 1 dog bone, 3 water bowls, 1 collar

2 items: 1 box of dog food, 1 collar

The value of x from the given algebraic expression Ax + By = −C would be x = (-C - By)/ A.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

In order to solve x, if we isolate the x variable from the rest of the other variables.

Given algebric expression;

Ax + By = -C

1. Subtract By from the right side

Ax + By -By = -C -By

Ax = -C - By

2. Divide A

x = (-C - By)/ A

Hence, The value of x from the given algebraic expression Ax + By = −C would be x = (-C - By)/ A.

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Answer:

m = 50

Step-by-step explanation:

Simplify:

9 + m/5 = 19

9 + 1/5m = 19

1/5m + 9 = 19

Subtract 9 from both sides:

1/5m + 9 - 9 = 19 - 9

1/5m = 10

Multiply both sides by 5:

5 ⋅ ( 1/5m ) = ( 5 ) ⋅ (10)

Answer:

Step-by-step explanation:

Attached below. pi = 180°

Answer:

a

Step-by-step explanation:

Answer:

C. (4,28)

Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

I hope this helped you and that I clearly elaborated on the answer choice.

Answer:

Option c). 5 square root 3 over 2

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle AOC

we know that

m∠AOC+m∠BOC=180° ----> by supplementary angles

m∠BOC=60° ---> given value

m∠AOC+60°=180°

m∠AOC=180°-60°=120°

step 2

we know that

The triangle AOC is an isosceles triangle

OA=OC=2.5 in -----> the radius of the circle

m∠CAO=m∠OCA ----> base angle

we have that

2m∠CAO=180°-m∠AOC

2m∠CAO=180°-120°

m∠CAO=30°

step 3

Find the measure of the chord AC

we know that

Applying the law of sines in triangle AOC

sin(30°)/2.5=sin(120°)/AC

AC=(2.5)sin(120°)/sin(30°)

sin(30°)=1/2

AC=(2.5)sin(120°)/(1/2)

AC=(5)sin(120°)

Remember that

sin(120°)=sin(60°)

sin(60°)=√3/2

substitute

AC=(5√3)/2

5 square root 3 over 2

Answer:

Arranging  the sum and differences in increasing order of their values.

1) Difference of  the populations  of Germany and  Brazil = 1.16 X 10^8

2) Difference of  the populations  of Brazil and the  United States = 1.2 X 10^8

3) Sum of the  populations of  Brazil and  Germany = 2.76 X 10^8

4) Sum of the  populations of  the United States  and Brazil = 5.12 X 10^8

Step-by-step explanation:

Population of United States: 3.16 X 10^8

Population of Brazil : 1.96 X 10^8

Population of Germany: 8 X 10^7

a) the difference of  the populations  of Germany and  Brazil

Difference of  the populations  of Germany and  Brazil =  1.96 X 10^8 - 8 X 10^7 = 116000000 = 1.16 X 10^8

b) the sum of the  populations of  the United States  and Brazil

Sum of the  populations of  the United States  and Brazil = 3.16 X 10^8 + 1.96 X 10^8 = 512000000 = 5.12 X 10^8

c) the difference of  the populations  of Brazil and the  United States

Difference of  the populations  of Brazil and the  United States = 3.16 X 10^8 - 1.96 X 10^8 = 120000000 = 1.2 X 10^8

d) the sum of the  populations of  Brazil and  Germany

Sum of the  populations of  Brazil and  Germany:  1.96 X 10^8 + 8 X 10^7 = 276000000 = 2.76 X 10^8

Arranging  the sum and differences in increasing order of their values.

1) Difference of  the populations  of Germany and  Brazil = 1.16 X 10^8

2) Difference of  the populations  of Brazil and the  United States = 1.2 X 10^8

3) Sum of the  populations of  Brazil and  Germany = 2.76 X 10^8

4) Sum of the  populations of  the United States  and Brazil = 5.12 X 10^8

To find the distance from the bear to the base of the waterfall, we can use the tangent function, which relates the angle of depression to the distance. Using the given angle of depression of 27° and height of 365 feet, we can calculate that the bear is approximately 632 feet from the base of the waterfall.

To find the distance from the bear to the base of the waterfall, we can use the tangent function, which relates the angle of depression to the distance.

In this case, we have an angle of depression of 27° and a height of 365 feet.

Let's denote the distance we're trying to find as x.

The tangent of the angle of depression is equal to the opposite side (365 feet) divided by the adjacent side (x).

So we can set up the equation tan(27°) = 365/x and solve for x.

Rearranging the equation, we have x = 365/tan(27°). Plugging in the values and using a calculator, we find that x is approximately 632 feet.

The bear is approximately 717 feet away from the base of the waterfall.

To find out how far the bear is from the base of the waterfall, use trigonometry, specifically the tangent of the angle of depression. Tangent relates the opposite side and the adjacent side in a right triangle.
1. Given Information:
  - Height of the waterfall (opposite side), h = 365 feet.
  - Angle of depression, [tex]\( \theta = 27\textdegree[/tex].
2. Formulate the Tangent Function:
  The tangent of an angle in a right triangle is given by [tex]\( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \)[/tex].
  So in our case, [tex]\( \tan(27\textdegree) = \frac{365}{d} \)[/tex].
3. Solving for d (the distance from the base of the waterfall to the bear):  
  Rearranging for d:  
  [tex]\[ d = \frac{365}{\tan(27\textdegree)} \][/tex]
4. Calculate the Value:
  Using a calculator to find [tex]tan(27\textdegree)[/tex] which is approximately 0.5095.  
  [tex]\[ d = \frac{365}{0.5095} \approx 716.5 \text{ feet} \][/tex]
5. Round to the Nearest Foot:  
  [tex]\[ d \approx 717 \text{ feet} \][/tex]
So, the distance between the bear and base of the waterfall is approximately 717 feet.

its given if already with all the dashes and circle thingys so it's A I'm quite sure

Reflexive property and transitive property.

The answer is option D.

In algebra, the reflexive assets of equality state that a number is continually the same as itself. Reflexive belongings of equality. If a is various, then. a = a.

In math, if A=B and B=C, then A=C. So, if A=5 for instance, then B and C should both also be five with the aid of the transitive property. That is actually—a foundational property of—math because numbers are constant and both facets of the equals signal need to be equal, by definition.

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Step-by-step explanation:

(9÷3)+4(6-7)

=(3)+4(1)

=3+4

=7

Answer:

-1

Step-by-step explanation:

According to PEMDAS, we must start with what's in the parenthesis:

(9/3)=3

and

(6-7)=-1

Which leaves us with the equation 3+4(-1)

The next step would be multiplication:

4(-1)=-4

Leaving us with 3+(-4), which simplifies to:

Hope this helps!

If you know Heron's formula, this is easy.

[tex]\text{area}=\sqrt{s(s-6)(s-10)(s-14)}=15\sqrt3[/tex]

where [tex]s=\dfrac{6+10+14}2=15[/tex] is the semiperimeter of the triangle.

The area is also equal to half the product of the base and height of the triangle, which happen to be

[tex]15\sqrt3=\dfrac{14x}2\implies x=\dfrac{15\sqrt3}7\approx3.711[/tex]

so the answer is B.

Answer:

f(x)=-3x+4

Step-by-step explanation:

We need to solve for y.

9x+3y=12

Subtract 9x on both sides.

3y=-9x+12

Divided both sides by 3.

y=-3x+4

Replace y with f(x).

f(x)=-3x+4

Answer:

[tex]f(x)=-3x+4[/tex]

Step-by-step explanation:

the function represented by [tex]9x + 3y = 12[/tex]

To write the given equation in f(x), we need to solve for y

Lets solve the given equation for y

[tex]9x + 3y = 12[/tex]

Subtract 9x from both sides

[tex]3y =-9x+12[/tex]

Now divide whole equation by 3, divide each term by 3

[tex]y =-3x+4[/tex]

To write it as a function , finally we replace y with f(x)

[tex]f(x)=-3x+4[/tex]

Answer:

hello : (5,2,2)

Step-by-step explanation:

put x = 5 in this equation :   y=3(5)-13=15-13=2

put x= 5 and y=2 and z=2 in the first and second equation you have -3(5)+4(2)+2(2)=-3       -15+8+4 =-3      so :-3=-3 .....right

2(5)-4(2)-2 =0             10-8-2=0   so : 0=0   .....right    

Answer:

D is the correct option

Step-by-step explanation:

2x-3/x ÷ 7/x²

Change the division sign into multiplication and the second term will be flipped(denominator will become numerator)

2x-3/x * x²/7

x will be cancelled out by x²

2x-3/1 * x/7

Now multiply 2x-3 by x

2x²-3x/7

Take x as a common:

x(2x-3)/7

Thus the correct option is D....

Answer:

The equation that represents the new path is y=(1/2)x-2

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-2x-7

so

the slope m is equal to

m=-2

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-2 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/2

step 3

With m=1/2 and the point (-2,-3) find the equation of the line

y-y1=m(x-x1)

substitute

y+3=(1/2)(x+2)

y=(1/2)x+1-3

y=(1/2)x-2 -----> equation that represent the new path

Answer:

Y= 1/2x-2

Step-by-step explanation:

Apex

Hope this helps Have a nice day

Answer:

13

Step-by-step explanation:

u=(3+2i)  v=(3-2i)

uv = (3+2i)(3-2i)

FOIL

first: 3*3 = 9

outer: -2i*3 = -6i

inner: 2i*3 = 6i

last = 2i*-2i = -4i^2 =-4 (-1) = 4

Add together

9-6i+6i +4 = 13

Answer:

13.

Step-by-step explanation:

uv = (3 + 2i)(3 - 2i)

=  9 - 6i + 6i - 4i^2         Note that i^2 = -1  so we have

9  -4 * -1

= 13.

Answer:

The perfect square of 3*4 is 9*16

Step-by-step explanation:

A perfect square is a number that can be expressed as the product of two equal integers.

For example 64 is a perfect square because if we multiply 8 two times we will get 64.

Thus the given expression is 3 * 4.

To find perfect square we square the numbers:

3² = 3*3 = 9

4² = 4*4 = 16

Thus the perfect square of 3*4 is 9*16 ....

Answer:

[tex]9x^8[/tex]

Step-by-step explanation:

We need to find perfect square of the root [tex]3x^{4}[/tex]

To find the perfect square, we need to square the root  [tex]3x^{4}[/tex]

[tex](3x^{4})^2[/tex]

Now let's use  exponent power rule and simplify.

[tex](a^{m})^n = a^{mn}[/tex]

= [tex]3^2x^{4*2} = 9x^8[/tex]

Therefore, [tex]9x^8[/tex] is perfect square of the root [tex]3x^4.[/tex]

C : 13

8 is not a prime number since it's dividable by multiple numbers. For example 2(4), 1(8)

6 is not a prime number since it's dividable by 3(2), 1(6)

13 is a prime number because it's only dividable by itself.

10 is not a prime number because it can be divided by 5(2), 1(10)

So only 13 matches as a prime number.

Answer:

The option you have selected in the photo, 20 + 0.15x < 15 + 0.20x

Step-by-step explanation:

Your data plan per month would have a flat rate of 15 and then add on 20 cents per MB of data used. The equation would be 15 + 0.20x.

Sally's is a flat 20 and adding on 15 cents per MB of data. The equation would be 20 + 0.15x.

The question wants Sally's less than yours or Sally < You, so your answer is:

20 + 0.15x < 15 + 0.20x

Answer:

Step-by-step explanation:

[tex]25x^2-16=5^2x^2-4^2=(5x)^2-4^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(5x-4)(5x+4)[/tex]

The correct product which is equivalent to 25x² - 16 is,

⇒ (5x + 4) (5x - 4)

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 25x² - 16

Now, We can simplify as;

⇒ 25x² - 16

⇒ (5x)² - 4²

⇒ (5x + 4) (5x - 4)

Thus, The correct product which is equivalent to 25x² - 16 is,

⇒ (5x + 4) (5x - 4)

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Answer:

I found the image of this problem. Its side measure is 13.  The octagon can form 8 triangles. Its apothem can serve as the height of the triangle. We need to get the area of the triangle and multiply it by 8. We then deduct the area of the square from the total area.

Area of a triangle = (height * base) / 2

A = (15.69 * 13) / 2

A = 203.97 / 2  

A = 101.985 sq. units

101.985 x 8 = 815.88 sq. units

Area of the square = s²

A = 13²

A = 169 sq. unit

Area of the shaded region: 815.88 sq. unit - 169 sq. unit = 646.88 sq. unit

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Hence

F(- 2, - 1 ) → F'(- 2, 1 )

G(2, 2 ) → G'( 2, - 2 )

H(4, - 3 ) → H'(4, 3 )

Answer: 50.91 kilograms

Step-by-step explanation: Divide the number of pounds by the number of pounds in a kilogram.

112/2.2 = 50.91

There are 50.91 kilograms in 112 pounds.

Answer

2(10 - √10)  or 13.68 to the nearest hundredth.

Step-by-step explanation:

(√5 + √2)^2 + (√8 - √5)^2

= 5 + 2 + 2√5√2 + (8 + 5 - 2√8√5)

= 7 + 2√10 + 13 - 2√40

= 20  + 2√10 - 2√40

=  20 + 2√10 - 4√10

= 20 - 2√10

= 2(10 - √10).

Answer:

1 31/36 is your answer

Step-by-step explanation:

Find common denominators. Note that what you do to the denominator, you must do to the numerator;

(-7/18)(2/2) = (-14/36)

(-9/4)(9/9) = (-81/36)

Combine the terms:

(-14/36) - (-81/36)

Note that two negative signs directly next to each other equals a positive sign.

(-14/36) + 81/36

-14/36 + 81/36

(-14 + 81)/36

Combine like terms. Solve the parenthesis:

(67)/36

Change to a mixed fraction:

(67/36) = 1 31/36

1 31/36 is your answer.

~

Answer:

see below

Step-by-step explanation:

Take the 4 lb container.  Pour out rice and fill the 3 lbs container.  What is left in the 4 lb container is 1 lb  (4-3 =1)

Empty the 3 lbs container and put the 1lbs into it

Now measure rice into the 4 lbs container

We  have 1lbs ( in the 3lbs container)

and 4 lbs ( in the 4 lbs container)

for a total of 5 bs