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

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Step-by-step explanation:

Answer 2

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

Step-by-step explanation:

Point P is $\dfrac47$of the distance from M to N.

Let the distance between M to N =x.

$MP=\dfrac47x$

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

MN = MP+PN

$\Rightarrow\ x=\dfrac47 x+PN\\\\\Rightarrow\ PN =x-\dfrac47 x\\\\\Rightarrow\ PN=\dfrac37 x$

Ratio of MP to PN = $=\dfrac{\dfrac{4}{7}x}{\dfrac{3}{7}x}=\dfrac43$

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