Write the equation of a circle that has a center (3, -4) and is tangent to the x-axis.
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Circle equation
(x - h)^2 + (y -k)^2 = r^2
(h, k) is the center
Replacing the point
(x - 3)^2 + (y - (-4))^2 = r^2
(x - 3)^2 + (y + 4)^2 = r^2
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Tangent to the x-axis
(3, -4)
The radius is 4
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Answer
(x - 3)^2 + (y + 4)^2 = 4^2
(x - 3)^2 + (y + 4)^2 = 16