Question

A segment with endpoints A (3, 2) and B (6, 11) is partitioned by a point C such that AC and BC form a 2:3 ratio. Find the x value for C.
3.8

3.9

4.2

4.3

Answer 1

First we subtract x values of points A and B
|3-6| = 3

now because the ration is 2:3 we need to divide that distance with 5 (sum of ratio numbers)
3/5

The result we multiply by 2 and add to x value of point A because that is the order of our ration (AC/BC)

2*3/5+3 = 4.2

Answer is 4.2