2 years ago

Find the coordinates of the point 7/10 of the way from A to B

Mathematics

1 answer:

OverLord2011 [107]2 years ago

7 0

Answer:

(6.8, 1.3)

Step-by-step explanation:

Given:

A(-3, -5), B(11, 4)

Find:

P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

(P -A)/(B -A) = 7/10

10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

10P = 7B +3A . . . . . . . . add 10A to both sides

10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

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