Question

If point P is 4/7 of the distance from M to N, then point P partitions the directed line segment from M to N into a .. (GEOMTRY HELP PLS)

A. 4:1
b. 4:3
c. 4:7
d: 4:11

Answer 1

I believe it's 4:11.

Answer 2

The answer is 4:3

Explanation:

Given the line segment MN & P is the point partitioned the line segment MN such that point P is 4/7 of distance from M to N.

∴ Let the distance between M to N is x.

⇒
`MP=(4x)/(7)`

Now, MN = MP+PN

⇒
`(4x)/(7)+PN=x`

⇒
`PN=x-(4x)/(7)`

⇒
`PN=(3x)/(7)`

Hence, point P partitioned the line segment MN into

`((4x)/(7))/((3x)/(7))= (4x)/(7)* (7)/(3x)`

= 4:3