Question

Which equation would be a circle with a center at 2,-3 and contains the point 9,-3 distance formula

Answer 1

Answer:

(x - 2)^2 + (y + 3)^2 = 49.

Step-by-step explanation:

The circle will have the equation:

(x - 2)^2 + (x + 3)^2 = r^2 where r = the radius and  (2,-3) is the center..

To find r^2 we use the distance formula ( the radius is the distance between the center and the point (9,-3):

r^2 =  ( 9 - 2)^2 + ( -3 - (-3)^2

r ^2 =  7^2 + 0^2

r^2 =  49.

The answer is (x - 2)^2 + (y + 3)^2 = 49.