Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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

Sagot :

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.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.