Answer:
(10.5, 4)
Step-by-step explanation:
You want H such that ...
(H -B)/(Z -H) = 5/1
Solving for H, we get ...
H -B = 5(Z -H) . . . . . . cross multiply
H - B = 5Z -5H . . . . . eliminate parentheses
6H = B + 5Z . . . . . . . . Add 5H+B
H = (B +5Z)/6 . . . . . . . divide by the coefficient of H
Filling in the given values, we have ...
H = ((3, -1) + 5(12, 5))/6 = (3+60, -1 +25)/6
H = (10.5, 4)
