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A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5,-3) and the coordinates of the second existing tower are (9,13). What are the coordinates of the point where the new tower will be placed?

Sagot :

Midpoint of 2 points in a Cartesian Plane:
= [tex]( \frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
x1 = -5    x2 = 9
y1 = -3    y2 = 13

Midpoint = [tex]( \frac{-5+9}{2} , \frac{-3+13}{2} )[/tex]

Midpoint = [tex]( \frac{4}{2} , \frac{10}{2} )[/tex]

Midpoint = (2, 5)

The coordinates of the point where the new tower will be placed is at (2,5).