Write the equation of the circle in general form. show all of your work

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The answer is x^2 + y^2 + 6x - 8y + 21 = 0.

Step-by-step explanation:

First find the original standard form equation of the circle.

So the circle has a center of (-3, 4) and a radius of 2. Write this in standard form:

(x + 3)^2 + (y - 4)^2 = 2^2

Simplify:

(x + 3)^2 + (y - 4)^2 = 4

(x^2 + 6x + 9) + (y^2 - 8y + 16) = 4

Gather like terms:

x^2 + y^2 + 6x - 8y + 9 + 16 - 4 = 0

x^2 + y^2 + 6x - 8y + 21 = 0

There you go!

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step-by-step explanation:

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step-by-step explanation

2r= 2300

r =1150