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Andreyy89
2 years ago
8

Find the endpoint:

Mathematics
1 answer:
scZoUnD [109]2 years ago
3 0

Answer:

The coordinates of Point D are: (-5,-8)

Step-by-step explanation:

The formula for mid-point is given by:

M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})

For the point (x1,y1) and (x2,y2)

Given that

M = (-3, -6)

C = (-1, -4) => (x1,y1)

Putting the values of given points in the formula for mid-point

(-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})

Putting respective coordinates equal

-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8

Hence,

The coordinates of Point D are: (-5,-8)

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