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PLEASE HELP 15 POINTS + BRAINLIEST Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ midpoint - (-15,22) endpoint- (-8,15) Please help oh and heres the hint included (Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
FIRST TO ANSWER CORECTLY IS BRAINLIEST

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ricchad

Answer:

end point ₂ of a segment  X₂ = - 22 ;  Y₂ = 29

Step-by-step explanation:

given;

midpoint = ( Mx = - 15 , My = 22 )

endpoint ₁  = ( X₁ = - 8 ,  Y₁ = 15 )

find the other endpoint ₂ ( X₂ , Y₂)

use the mid point formula to get the other endpoint:

Mx = ( X₁ + X₂ ) / 2              My = ( Y₁ + Y₂ ) / 2

- 15 = (-8 + X₂) / 2                 22 = (15 + Y₂) / 2

-30 = - 8 + X₂                         44 = 15 + Y₂

X₂ = -22                                    Y₂ = 29

Answer:

So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is: ((x 1 + x2)/2, (y 1 + y 2 )/2 {Average of the x coordinates, average of the y coordinates}. For this problem we know the coordinates of the midpoint along with one of the endpoints.

Step-by-step explanation:

Use the midpoint formula

M = (  (x1 + x2) / 2  ,  (y1 + y2) / 2 )

(9, 0) = (  (x1 + 12) / 2  ,   (y1 + 3) / 2)

Break up this formula into two equations.

(x1 + 12) / 2 = 9   and (y1 + 3) / 2 = 0

 Solve for x1 and y1 from the equations.

 

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