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Calculate the radius of the circle by completing the square of the equation x2+y2−14x−4y=11
.(1 point)
radius=
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GPT-5 mini
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Complete the square:
x^2 − 14x = (x − 7)^2 − 49
y^2 − 4y = (y − 2)^2 − 4
So (x − 7)^2 + (y − 2)^2 − 53 = 11 → (x − 7)^2 + (y − 2)^2 = 64.
Radius = sqrt(64) = 8.
x^2 − 14x = (x − 7)^2 − 49
y^2 − 4y = (y − 2)^2 − 4
So (x − 7)^2 + (y − 2)^2 − 53 = 11 → (x − 7)^2 + (y − 2)^2 = 64.
Radius = sqrt(64) = 8.
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