A circle has the equation 2x2+12x+2y2-16y-150=0.

What are the coordinates of the center, and what is the length of the radius?

The coordinates of the center are (-3,4), and the length of the radius is 10 units.

The coordinates of the center are (3,-4), and the length of the radius is 10 units.

The coordinates of the center are (6,-8), and the length of the radius is 10 units.

The coordinates of the center are (-6,8), and the length of the radius is 10 units.

Question

Mathematics

Asher Henry

6 April, 09:55

A circle has the equation 2x2+12x+2y2-16y-150=0.

What are the coordinates of the center, and what is the length of the radius?

The coordinates of the center are (-3,4), and the length of the radius is 10 units.

The coordinates of the center are (3,-4), and the length of the radius is 10 units.

The coordinates of the center are (6,-8), and the length of the radius is 10 units.

The coordinates of the center are (-6,8), and the length of the radius is 10 units.

+4

Answers (1)

Know the Answer?

Evelyn Wood · Answer 1

Step-by-step explanation:

hello:

2x²+12x+2y²-16y-150=0

divide by 2 : (x²+6x) + (y²-8y) - 75 = 0

(x²+6x+9) - 9 + (y²-8y+16) - 16-75 = 0

(x+3) ² + (y-4) ² = 10²

The coordinates of the center are (-3,4), and the length of the radius is 10 units.