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pochemuha
3 years ago
8

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.
Mathematics
1 answer:
Paul [167]3 years ago
4 0

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)

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