What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Answer:

The answer is 21

Step-by-step explanation:

Answer:

13125 per year

Step-by-step explanation:

2007-1999=8

255000-150000=105000

105000÷8=13125

Answer:

By finding the y- intercept in the graph.

Step-by-step explanation:

This is the only point in the graph that is on the y axis.

Answer:

48π

Step-by-step explanation:

The radius is 4 and the height is 9

V=1/3*π 4^2*9

Simplify:

48π

Answer:

y = -0.5x + 100

Step-by-step explanation:

Im not really sure what i was supposed to answer but i hope it helped.

Answer:

A.       y = −0.5x + 100  

Step-by-step explanation:

Answer:

B is correct

You can double check it! :)

Hope this helps!

Tips:

Select a condition, check the 4 tables and eliminate 2 tables at once.

Then check the remaining 2 tables.

:)

Answer:

B. W

Step-by-step explanation:

College & university: 6

College & not university: 17

Not college & university: 28

Not College & not university: 9

Answer:

-31

Step-by-step explanation:

-5+6=1

-9-23=-32

1+-32=-31

Answer:

The answer is -31

Step-by-step explanation:

First, you would add everything in the parenthesis. Negative 5 added to 6 gives you a sum of 1, while negative 9 subtracted from 23 would give you negative 32. Once you have these two values, simply combine the totals to get negative 31

(1) + (-32) = -31   :)

Answer:

see explanation

Step-by-step explanation:

Consider the ratios of corresponding sides

[tex]\frac{PQ}{QR}[/tex] = [tex]\frac{30}{15}[/tex] = 2

[tex]\frac{PT}{QS}[/tex] = [tex]\frac{20}{10}[/tex] = 2

[tex]\frac{QT}{RS}[/tex] = [tex]\frac{28}{14}[/tex] = 2

Since the ratios of corresponding sides are equal, then

Δ PQT and Δ QRS are similar by the SSS postulate

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

id probably use the second one

Answer:

yes i am doing this iready too lol this is right what the first person answered is correct

Step-by-step explanation:

Answer:      c.      fo so!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

D

Step-by-step explanation:

if something is multiplied by 1.025 it is increasing by 2.5 percent

Answer:

D , 2.5%

Step-by-step explanation:

1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

Answer:

I dont know it this is the answer u r looking for but out of everything on the list, brazil has 2.2222222222222 percent

Answer:

3.9%  

Step-by-step explanation:

add up all the Olympic medals =485

Brazil = 19

to get the rank of Brazil 19/ 485 =0.039175..... multiply by 100 to get %

Answer:

the answer is (-1, -9)

that is the axis of symmetry

This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

Let the point be (x,y)

Case 1: Symmetry with respect to the x-axis

The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.

Case 2: Symmetry with respect to y-axis

The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.

Case 3: Symmetry with respect to origin

Origin is point at (0,0)

Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.

The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.

Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,

The point becomes (-x,-y)

The axis of symmetry is where the left side is the mirror image of the right side.

Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

It will be the x coordinate of the vertex

x = 1

Learn more about symmetry here:

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Answer:

you plug in the numbers into the function

Step-by-step explanation

function 1 is blank 1 is 17

2) is 16 3) is 15 4) is 12 5) is 7 6) is 0 and so on

for function 2 blank 1 is 1

2) is 0 3) is -1 4) is -2 5) is -3 6) is -4 and so on

does that help?

Answer:

128

Step-by-step explanation:

"The quotient of a number and 8 is 16" becomes

                      n/8 = 16

If we multiply both sides by 8, we get

                        n = 8(16) = 128

Answer:

The answer is 128 (c)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

This relationship is:  

This is not proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

This relationship is:  

This is proportional.

So the answer is:

Answer:

Olivia is on a swing at the playground. Her kinetic energy increasing at x and her potential energy decreasing at x. At mean position velocity is maximum so kinetic energy ( K.E ) is also maximum and at mean position potential energy is minimum. Therefore, kinetic energy is increasing and potential energy decreasing at x.

Answer: D. X and Y

Explanation:

At both W and Z, Olivia's potential energy is the highest. But, as she's in between the highest points, she's transitioning to them. Both X and Y have a substantial amount of kinetic energy.

I hope this helped !

Good luck <3

Answer:

Step-by-step explanation:

the false statement is " the y axis is tangent to the circle"

Answer:

6

Step-by-step explanation:

36:    2 2 3 3  

78:    2   3   13

GCF:    2   3  

2x3=6

hope this helps

Answer:

its 78.1

Step-by-step explanation:

Answer:

78.1

Step-by-step explanation:

On khan academy :)

Answer:

The answer is B:60

Step-by-step explanation:

The LCM of 10 and 12 is B. 60

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

Answer:

The 2nd and 4th (m<10)

Step-by-step explanation:

The symbol used is a less than sign, so the inequality is saying m is less than 10, and since Ken=m Ken has fewer marbles.

Answer:

Step-by-step explanation:

Answer:

11 and 16.5

Step-by-step explanation:

3x : 2x = length: width

55 = (3 + 2)(2)x -->

55 = 10x -->

5.5 = x -->

11 and 16.5 = width, length

Answer:

16.5

Step-by-step explanation:

Answer:

Karissa is happy with the increase in minimum wage. She will be able to save money.

Marta is worried because she has to choose between increasing the prices of her items and reducing the number of employees.

Answer:

J

Step-by-step explanation:

you get -6, -3, and -1 which are all less than 2

By options all the solutions are,

⇒ x = - 3, 0 , 2

Because all are less than 5.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Inequality is,

⇒ x - 3 < 2

Now, We can simplify as;

⇒ x - 3 < 2

Add 3 both side,

⇒ x  - 3 + 3 < 2 + 3

⇒ x < 5

Hence, By options all the solutions are,

⇒ x = - 3, 0 , 2

Because all are less than 5.

Learn more about the inequality visit:

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