Question

You Fit Gym is equidistant and collinear from Target and Pizza Hut. Target is located at point (-17, 17) and You Fit Gym is at (-5.5, 3) on a coordinate plane. Find the coordinates of the Pizza Hut.

Answer 1

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) :  $(x_1,y_1)$

G (-5.5, 3) : (x,y)

P : $(x_2,y_2)$

Mid point formula ; (x,y) is on mid point on line formed by joining points $(x_1,y_1)$and $(x_2,y_2)$

m = 1, n = 1

$x=\frac{x_1+x_2}{2}$

$-5.5=\frac{-17+x_2}{2}$

$-11=-17+x_2$

$x_2=17-11 = 6$

$y=\frac{y_1+y_2}{2}$

$3=\frac{17+y_2}{2}$

$6=17+y_2$

$y_2=-17+6 = -11$

The coordinates of the Pizza Hut is (6,-11)