Question

Javier is drafting a circle on graph paper. Using the equation x2+y2−2x−12y=18
, complete the square to calculate where he would draw the center of the circle.(1 point)
center: (
,
)

Answer 1

Start with x^2 + y^2 − 2x − 12y = 18.
Group and complete squares: (x^2 − 2x + 1) + (y^2 − 12y + 36) = 18 + 1 + 36.
So (x − 1)^2 + (y − 6)^2 = 55.
Center: (1, 6)