Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio using the formula… PLEASE HELP!!

Question

asked Jan 12, 2022 18.0k views

2 Answers

Jose Alonso Monge · Answer 1 · 2022-01-17T13:17:33+0000

Answer:

x=(2)/(5)* (2+3)-3

Explanation:

The given ratio is 2:3.

x₁ = -3, x₂ = 2

We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

x=(a)/(a+b)(x_2-x_1)+x_1

Put all the values,

$x=(2)/(2+3)(2-(-3))+(-3)\\\\=(2)/(5)* (2+3)-3$

Hence, the correct option is (d).