Question

If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into? 4:1 4:3 4:7 4:10

Answer 1

Answer: B. 4 : 3

edg 2021

Explanation:

Answer 2

Answer: Point P partitioned the line segment MN into 4:3.

Explanation:

Point P is
`\frac47`of the distance from M to N.

Let the distance between M to N =x.

`MP=\frac47x`

Point P partition the directed line segment from M to N .

MN = MP+PN

`\Rightarrow\ x=\frac47 x+PN\\\\\Rightarrow\ PN =x-\frac47 x\\\\\Rightarrow\ PN=\frac37 x`

Ratio of MP to PN =
`=((4)/(7)x)/((3)/(7)x)=\frac43`

∴ Point P partitioned the line segment MN into 4:3.