Write the equation of a circle whose center is at (3,-2) and has a radius of 11.Show your work!

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

Answer:

$(x - 3)^{2} + (y + 2)^{2} = 121$

Step-by-step explanation:

The equation of a circle has the following format:

$(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}$

In which r is the radius and the centre is the point $(x_{0}, y_{0})$

In this question:

Center at (3,-2), so $x_{0} = 3, y_{0} = -2$

Radius 11, so $r = 11$

Then

$(x - 3)^{2} + (y - (-2))^{2} = 11^{2}$

$(x - 3)^{2} + (y + 2)^{2} = 121$

You might be interested in

15x+6=10x+21 solve for x

VMariaS [17]

The answer would be x = 3.

15x = 10x + 21 - 6 (Subtract 6 from both sides)

15x = 10x + 15 (Simplify 10x + 21 - 6 to 10x + 15)

15x - 10x = 15 ( Subtract 10x from both sides)

5x = 15 ( Simplify 15x - 10x to 5x )

x = 15/5 ( Divide both sides by 5 )

x = 3 ( Simplify 15/5 to 3 ).

8 0

3 years ago

Read 2 more answers

Madison brought $42.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/4 as much as

choli [55]

Answer:

Amount spent on each item is;

brush = $3.50

sketchbook = $14.00

paint set = $21.00

Completed question:

Madison brought $42.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/4 as much as the sketchbook, and the sketchbook cost 2/3 the cost of the paint set. Madison had $4.00 left over after buying these items. How much is each item.

Step-by-step explanation:

Let x,y and z represent the price of brush, sketchbook and paint set respectively.

The brush was 1/4 as much as the sketchbook,

x = 1/4 × y

y = 4x ....1

the sketchbook cost 2/3 the cost of the paint set

y = 2/3 × z

3y = 2z

z = 3y/2

Substituting equation 1

z = 3(4x)/2 =6x

z = 6x ....2