What is the y-coordinate of the center of the circle with the following equation:

(x - 5) 2 + (y + 18) 2 = 36

The answer to your question is - 18

Step-by-step explanation:

Data

Equation of a circle (x - 5) ² + (y + 18) ² = 36

The equation of the circle in standard form is (x - h) ² + (y - k) ² = r²,

where the coordinates of the center are (h, k).

Then just get the h, k values and change the signs.

h = - (-5) = 5

k = - (18) = - 18

the x-coordinate = 5

the y-coordinate = - 18

(5, - 18)

Step-by-step explanation:

the original formula for the circle is (x - h) 2 + (y - k) 2 = r2 the center is (h, k)

so,

(x - 5) 2 + (y + 18) 2 = 36

h = 5, k=-18