30.3k views
7 votes
Determine the center and radius of each circle.
(x – 6)2 + y2 – 8y = 0

User Ryon
by
4.9k points

1 Answer

3 votes

Answer:

Explanation:

(x-6)² + y²-8y = 0

Put the equation into center-radius form.

complete the square

 coefficient of the y term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 add 4² to both sides to complete the square and keep the equation balanced:

(x-6)² + (y²-8y+4²) = 4²

(x-6)² + ( y-4)² = 4²

center (6,4)

radius 4

User FlatLander
by
4.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.