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

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)

(0, -34)

Step-by-step explanation:

Coordinates of point S = (0, -34)

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

step-by-step explanation: