#1**+1 **

**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**

**\(\sqrt{(9-x)^2+25}=x\)**

**\((9-x)^2+25=x^2\)**

**\(x^2-18x+106=x^2\)**

**\(x = \frac{53}{9}\)**

**\((53/9,5)\)**

Imcool Feb 23, 2024