jessixa897192 jessixa897192
  • 17-09-2019
  • Mathematics
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The midpoint of RS is M(1, 2). One endpoint is R(-6, 6). Find the coordinates of endpoint S.

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calculista
calculista calculista
  • 20-09-2019

Answer:

The coordinates of point S are (8,-2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let

Point S(x2,y2)

substitute the given values

[tex](1,2)=(\frac{-6+x2}{2},\frac{6+y2}{2})[/tex]

Solve for x2

[tex]1=(-6+x2)/2\\2=-6+x2\\x2=2+6=8[/tex]

Solve for y2

[tex]2=(6+y2)/2\\4=6+y2\\y2=4-6=-2[/tex]

therefore

The coordinates of point S are (8,-2)

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