First, we need to find the distance between M (-9,-5) and Q (3,5)
[tex]d=\sqrt[]{(-9-3)^2+(-5-5)^2}=\sqrt[]{(-12)^2+(-10)^2}=15.62[/tex]
then we need to know the distance of the point P
MP the distance is 4.46
PQ the distance is 11.157
we have the next equations
[tex]4.46=\sqrt[]{(-9-x)^2+(-5-y)^2}[/tex][tex]11.157=\sqrt[]{(3-x)^2+(5-y)^2}[/tex]
r=5/2=2.5
[tex]x=\frac{x1+rx2}{1+r}=\frac{-9+2.5(5)}{3.5}=\frac{3.5}{3.5}=1[/tex][tex]y=\frac{y1+ry2}{1+r}=\frac{-5+2.5(5)}{3.5}=2.14[/tex]
