Question

You are drafting a circle on graph paper. The equation for the circle is x2+y2+12x−10y=−36
. Complete the square to discover the center and radius of the circle.(1 point)
Responses

center=(12,−10)
, radius=6
center= left parenthesis 12 comma negative 10 right parenthesis , radius=6

center=(−6,5)
, radius=5
center= left parenthesis negative 6 comma 5 right parenthesis , radius=5

center=(−12,10)
, radius=5
center= left parenthesis negative 12 comma 10 right parenthesis , radius=5

center=(6,−5)
, radius=6

Answer 1

(x^2+12x) + (y^2−10y) = −36
Complete the square: (x+6)^2 −36 + (y−5)^2 −25 = −36
So (x+6)^2 + (y−5)^2 = 25.

Center = (−6, 5), radius = 5.