Question

A circle is represented by the equation shown below.

(x - 5)2 + (x + 9)2 = 144

Which statement is true?

The circle is centered at (-5, -9) and has a diameter of 12.

The circle is centered at (5, -9) and has a radius of 12.

The circle is centered at (5, 9) and has a diameter of 12.

The circle is centered at (5, 9) and has a radius of 12.

Answer 1

@Adogcalledbambi , Do you know the general equation of ellipse??

Answer 2

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1, right?

Answer 3

the standard form of the equation for a circle is\[(x-k)^{2}+(y-h)^{2}= r ^{2}\]
where k (not-k) and h (not-h) are the x and y coordinates of the center and r is the radius

Answer 4

Oh yes. Just notice it is an ellipse now. Anyways. Now try to bring the given equation in the form as @thomasj mentioned. You will have your answer

Answer 5

just noticed it is a *circle

Answer 6

Oh okay, I have it now! Thank you both!

Answer 7

what's the answer? i don't get it.