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A map of two cities is plotted on a coordinate grid. One city is centered at (-60,40), while the other is at (40, 20). A rest station lies at the midpoint of a straight road joining the centers of each city. What is the location of the rest station? (1 point)​

Respuesta :

xenia168

Answer:

( - 10, 30 )

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

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A( - 60, 40)

B(40, 20)

The location of the rest station is

( [tex]\frac{-60+40}{2}[/tex] , [tex]\frac{40+20}{2}[/tex] ) = ( - 10, 30 )

Answer:

(-10,30)

Step-by-step explanation:

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