1. -4/3, I just graphed it in desmos and fiddled with some stuff.
2. So the distance of the Center, (x,y), to B and A are the same.
We know that y is 5 from tangent rules.
(x,5)
The distance from (x,5) to (9,0) is x, since to B is also x
√(9−x)2+25=x
(9−x)2+25=x2
x2−18x+106=x2
x=539
(53/9,5)
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