Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 -

Question

3 years ago

12

8y

1 answer:

natali 33 [55] · Answer 1 · 2022-04-27T09:37:16+03:00

Answer:

The center is at (3, -4), and the radius is 9.

Step-by-step explanation:

x² + y² − 6x = 56 − 8y

Move x and y terms to one side.

x² − 6x + y² + 8y = 56

Complete the squares.

x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16

(x − 3)² + (y + 4)² = 81

The center is at (3, -4), and the radius is 9.