Respuesta :

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

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