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

Step-by-step 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

this is false ^.^ lol

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°