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PLEASE HELP,, MARKING BRAINLIEST!!!

Given coordinates T(10,18) and the midpoint of segment ST at (5,-8), what are the coordinates of point S?

Respuesta :

mberisso

Answer:

S = (-4, -34)

Step-by-step explanation:

T=(10, 18) is one end of the segment

the midpoint is located at (5, -8)

therefore, using the formula for midpoint, we can find the other end of the segment (point S)

Midpoint x-value = xa + (xb - xa)/2

in our case;

5 = 10 + (xb-10)/2

3 - 10 = (xb-10)/2

-7 = (xb-10)/2

-14 = xb-10

xb = -14 + 10 = - 4

Now for the y value of the midpoint:

Midpoint y-value = ya + (yb - ya)/2

in our case:

-8 = 18 + (yb - 18)/2

- 26 = (yb - 18)/2

- 52 = yb - 18

yb = -52 + 18 = -34

Then. point S is located at: S = (-4, -34)

Podetola

Answer: (0, -34)

Step-by-step explanation:

[tex]M(5,-8)=(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2})\\(5,-8)(\frac{10 + x_{2} }{2} ,\frac{18 + y_{2} }{2})[/tex]

[tex]5=(\frac{10 +x_{2} }{2})\\ 10=10+x_{2} \\-10-10\\0 = x_{2}\\x_{2} =0[/tex]    [tex]-8=(\frac{18 +y_{2} }{2})\\ -16=18+y_{2} \\-18-18\\-34 = y_{2}\\y_{2} =-34[/tex]

Coordinates of point S = (0, -34)

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