Question

identify the center and radius of the circle with the equation

(x+5)^2+(y-2)^2=9

A. this equation represents a circle with center (5,-2) and a radius of 3 units
B. This equation represents a circle with center (-5,2) and a radius of 3 units
C. this equation represents a circle with center (5,-2) and a radius of 9 units
d. this equation represents a circle with center (-5,2) and a radius of 9 units

Answer 1

C(h,k), P(x,y).

x - h = x+5
x-x-h = 5
-h = 5
h = -5

y-k = y-2
y-y-k = -2
-k = -2
k = 2

C(-5,2).

r = sqrt(9) = 3 Units.