SOLUTION: The point (10, 10) is the midpoint of C and D. If the coordinates of C are (15, s) and the coordinates of D are (t, 3), then what are the values of the variables s and t?

Algebra ->  Length-and-distance -> SOLUTION: The point (10, 10) is the midpoint of C and D. If the coordinates of C are (15, s) and the coordinates of D are (t, 3), then what are the values of the variables s and t?       Log On


   

Question 348622: The point (10, 10) is the midpoint of C and D. If the coordinates of C are (15, s) and the coordinates of D are (t, 3), then what are the values of the variables s and t?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the midpoint formula.
x%5Bm%5D=%28x%5BC%5D%2Bx%5BD%5D%29%2F2
%2815%2Bt%29%2F2=10
15%2Bt=20
Solve for t.
.
.
.
y%5Bm%5D=%28y%5BC%5D%2By%5BD%5D%29%2F2
%28s%2B3%29%2F2=10
s%2B3=20
Solve for s.