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The coordinates of the midpoint of GH are M(-2,5) and the coordinates of one endpoint are H(-3, 7).
The coordinates of the other endpoint are(
).
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What are the coordinates of the other endpoint

Respuesta :

calculista

Answer:

The coordinates of point G are (-1,3)

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]

we have

[tex]M(-2,5)[/tex]

[tex](x2,y2)=H(-3,7)[/tex]

substitute and solve for (x1,y1)

[tex]M(-2,5)=(\frac{x1-3}{2},\frac{y1+7}{2})[/tex]

so

[tex]-2=\frac{x1-3}{2}[/tex] ----> [tex]x1=-4+3[/tex] --->[tex]x1=-1[/tex]

[tex]5=\frac{y1+7}{2}[/tex] ---> [tex]y1=10-7[/tex] ----> [tex]y1=3[/tex]

therefore

The coordinates of point G are (-1,3)