What is the center and radius of the circle that has the equation (x + 7) ^ 2 + (y - 4) ^2 = 49? Explain.

( - 7, 4) and 7

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 is the radius

(x + 7) ² + (y - 4) ² = 49, that is

(x - ( - 7)) ² + (y - 4) ² = 7² ← is in standard form

with centre = (h, k) = ( - 7, 4) and r = 7

Step-by-step explanation:

Center: (-7,4) (-7,4)

Radius: 7