Question

A circle is represented by the equation below:

(x - 9)2 + (y + 8)2 = 16

Which statement is true?

A. The circle is centered at (−9, 8) and has a radius of 8.

B. The circle is centered at (9, −8) and has a diameter of 8.

C. The circle is centered at (9, −8) and has a radius of 8.

D. The circle is centered at (−9, 8) and has a diameter of 8.

Answer 1

@mathslover

Answer 2

Let us first remind ourselves that :

General Equation for a circle whose centre is (h,k) is :

\((x -h)^2 + (y -k)^2 = r^2\)

Answer 3

Compare this equation with the given one in the question.

After comparing, what do you get the values for h, k and r ?

Answer 4

For convenience , right the equation given in the question as :

\((x-9)^2 + (y-(-8))^2 = 16\)

Answer 5

B

Answer 6

@MLMAQHUZU - yes it is B but please don't just give direct answers.

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Answer 7

ohhhhhhhhh sorry guys, how am I suppose to answer?

Answer 8

@mathlover- thanks man I'm covered