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Which of the following circles have their centers on the x-axis?
Check all that apply.
Α. (x-0)2 + (y-0)2 = 7^
2
B. (x-4)2 + (y-0)2 = 74
C. (x-0)2+(y-3)2 = 23
D. (x-2)2 + (y+3)2 = 2



Answer :

reinhard10158

Answer:

A. and B.

Step-by-step explanation:

the circle formula is

(x - h)² + (y - k)² = r²

with (h, k) being the center of the circle, and r being the radius.

a point on the x-axis has the y-coordinate = 0 (clearly, to be on the x-axis the point cannot be above or below the x-axis).

so, the question here is simply, which circle has k = 0 ?

answer :

A. and B.

C. has h (the x- coordinate) = 0, but not k. so, that center is on the y-axis (and not on the x-axis).

D. has both coordinates unequal to 0. so that center is not on any of the axis.

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