All categories

3 years ago

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

How do you simplify this

kramer

Answer:

multiply the bottom and the top by route 2 minus route 3

this gives 4 route 2 minus route 18 over minus 1

this gives minus 4 route 2 add route 18

route 18 simplifies to 3 route 2

minus 4 route 2 add 3 route 2 gives minus route 2 as the answer

3 0

2 years ago

Paul used 50 liters of gas to fill a gas tank. Approximately how many gallons of gas would this equal?

Dmitry [639]

Answer:

I'm pretty sure that your answere would be B.have a good day!

8 0

3 years ago

15% of what number is 90

maw [93]

Let the number be x

15% = 90
1% = 6
100% = 6 x 100 = 600

8 0

3 years ago

Read 2 more answers

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

kykrilka [37]

Answer:

see the explanation below

Step-by-step explanation:

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Given data

you can type 250 characters in 60 seconds

your typing speed = 250/60

= 4.16 characters per seconds

your friend can type 375 characters in 90 seconds

your friends typing speed is

= 375/90

= 4.16 characters per seconds

Since both typing speeds corresponds, hence the ratios are proportional

5 0

3 years ago

Multiple choice <br> a. 12 pie cm <br> b. 21 pie cm <br> c. 35 pie cm

Karolina [17]

Answer:

The correct option is;

a. 12 pie cm

Step-by-step explanation:

Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;

Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same

The volume of the square based prism = 452 cm³

Therefore, the volume of the cylinder (of equal base area) = 452 cm³

The formula for the volume of square based prism = Area of base × Height

∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm

Which gives;

Area of the base of the square based prism = 452/4 = 113 cm²

The area of the base of the cylinder $A_c$ = The area of the base of the square based prism = 113 cm²

The area of the base of the cylinder, $A_c$ is given by the following equation;

$A_c$ = π×r² = 113 cm²

r = √(113/π) = √35.97 ≈ √36 = 6 cm

The circumference of the base of the cylinder, $C_c$ is given by the following equation

$C_c$ = 2×π×r ≈ 2×π×6 = 12×π cm

The correct option is 12 pie cm.

7 0

3 years ago