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storchak [24]
3 years ago
14

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
Mathematics
2 answers:
vovangra [49]3 years ago
9 0

Answer:   B. 4 : 3

edg 2021

Step-by-step explanation:

andrew-mc [135]3 years ago
3 0

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

Step-by-step explanation:

Point P is \dfrac47of 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.

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