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

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