DamianSchauer DamianSchauer

07-10-2021
Mathematics

contestada

What are the coordinates of the point on the directed line segment from (−8,5) to (4,−3) that partitions the segment into a ratio of 5 to 3?

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mhanifa mhanifa

07-10-2021

Answer:

(-0.5, 0)

Step-by-step explanation:

Directed line segment from (−8,5) to (4,−3).

Ratio is 5/3.

The required coordinates are:

x = -8 + 5/8*(4 - (-8)) = -8 + 5/8(12) = -8 + 7.5 = -0.5
y = 5 + 5/8*(-3 - 5) = 5 + 5/8(-8) = 5 - 5 = 0

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