SOLUTION: URGENT HELP PLEASE!! Write the equation of the circle that satisfies the stated conditions. In some cases there may be more than one circle that satisfies the conditions. Express

Question 457962: URGENT HELP PLEASE!! Write the equation of the circle that satisfies the stated conditions. In some cases there may be more than one circle that satisfies the conditions. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.(Objective 1)
Center at (−4, −6)and r = 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the general equation of a circle.

Plug in and (since the center is the point (h,k) ).

Plug in (this is the radius).

Square to get (this is the radius).

Simplify.

Subtract 9 from both sides.

FOIL and expand.

Combine like terms.

Rearrange the terms to fit the form .

The last equation is in standard form. Here we can see that D = 8, E = 12, and F = 43.
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