Answer:
(x +4)² +(y -9)² = 121
Explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
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We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...
(x -(-4))² +(y -9)² = 11²
We can simplify this a bit to ...
(x +4)² +(y -9)² = 121