Answer:
The coordinates of the Pizza Hut is (6,-11)
Step-by-step explanation:
Gym is equidistant and collinear from Target and Pizza Hut.
T (-17, 17) : [tex](x_1,y_1)[/tex]
G (-5.5, 3) : (x,y)
P : [tex](x_2,y_2)[/tex]
Mid point formula ; (x,y) is on mid point on line formed by joining points [tex](x_1,y_1)[/tex]and [tex](x_2,y_2)[/tex]
m = 1, n = 1
[tex]x=\frac{x_1+x_2}{2}[/tex]
[tex]-5.5=\frac{-17+x_2}{2}[/tex]
[tex]-11=-17+x_2[/tex]
[tex]x_2=17-11 = 6[/tex]
[tex]y=\frac{y_1+y_2}{2}[/tex]
[tex]3=\frac{17+y_2}{2}[/tex]
[tex]6=17+y_2[/tex]
[tex]y_2=-17+6 = -11[/tex]
The coordinates of the Pizza Hut is (6,-11)
