What is the center (x+4)^2+(y-5)^2=25 ?

The center (x+4)^2+(y-5)^2=25 is (-4,5)

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center (x+4)^2+(y-5)^2=25

center

(- 4, 5)

Solution steps

(x + 4)^{2} + (y - 5)^{2} = 25

Rewrite

(x + 4)^{2} + (y - 5)^{2} = 25

in the form of the standard circle equation

(x - (- 4))^{2} + (y - 5)^{2} = 5^{2}

Therefore the circle properties are:

(a, b) = (- 4, 5), r = 5

And the center is:

(- 4, 5)