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Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1

what’s the x coordinate of point p?

User Catalesia
by
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1 Answer

6 votes

Answer:

The x-coordinate of point P is 6

Explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so


AP=(2)/(3) AB

and


AP_x=(2)/(3) AB_x

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates


AB_x=8-2=6\ units


AP_x=(2)/(3) (6)=4\ units

The x-coordinate of P is equal to


P_x=A_x+AP_x

where

A_x represent the x-coordinate of A

substitute the values


P_x=2+4=6

therefore

The x-coordinate of point P is 6

User Matheus Rocha
by
8.1k points

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