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Answer:
(6.2, 4.5)
Step-by-step explanation:
We want, for some point P, ...
(P -A) / (B -P) = 1 / 3
3(P -A) = (B - P) . . . . . multiply by 3
4P = B +3A . . . . . . . . add P+3A
P = (B +3A)/4 . . . . . . .divide by 4
Filling in the coordinate values, we can find P to be ...
P = ((2.3, 5.4) +3(7.5, 4.2))/4 = (2.3+22.5, 5.4+12.6)/4
P = (6.2, 4.5)
