Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 -
8y
1 answer:
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.
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