Question

Dedric is trying to graph a circle on a computer software program that has a grid. The equation he is graphing is x2+y2−20x−14y+5=0
. Where would he place the center of the circle and what is its radius?(1 point)

center= (−10,−7)
, radius=5

center= (10,7)
, radius=12

center= (−20,−14)
, radius=8

center= (20,14)
, radius=5

Answer 1

Complete the square:

x^2 − 20x + y^2 − 14y + 5 = 0
(x − 10)^2 − 100 + (y − 7)^2 − 49 + 5 = 0
(x − 10)^2 + (y − 7)^2 = 144

So center = (10, 7) and radius = 12.