Which of the following points represents the center of a circle whose
equation is (x - 5)2 + (y-4)2 = 25?
o a. (-5,-4)
ob. (5,-4)
o c. (-5,4)
o d. (5,4)

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

(x - 5)² + (y - 4)² = 25 ← is in standard form

with centre = (5, 4) → D

compare with the equation of the circle (x-a)^2 + (y -b )^2 = r^2

(a,b) are the centers of the circle

therefore, the centers are (5,4)

Step-by-step explanation:

stops on an even number.

the radius is 2 times the diameter.

step-by-step explanation: