SOLUTION: Circle C1 has equation (x+2)^2 + (y+4)^2 = 64 and circle C2 has equation (x-h)^2 + (y-1)^2 = 81 The distance between the center of the circles is 13. 1. Find all possible value

Question 755916: Circle C1 has equation (x+2)^2 + (y+4)^2 = 64 and circle C2 has equation (x-h)^2 + (y-1)^2 = 81
The distance between the center of the circles is 13.
1. Find all possible values of h
2. If a segment connecting the centers is drawn, let A be the intersection of the segment with C1 and B be be the intersection of the segment with C2. Find AB.
3. Find the equation of the two circles that have the same center as C1 and are tangent with C2.

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You can identify the center for C1, being at (-2,-4).
You know something about the center for C2, that it is (h,1).
You are given that the distance between those centers is 13 units.

Use the distance formula and solve for h. Forming the equation for this distance starts us with :

Solve for h.
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