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rosijanka [135]
2 years ago
13

What are the coordinates of the point on the directed line segment from (5,5) to

Mathematics
1 answer:
iogann1982 [59]2 years ago
6 0

Answer:

(x,y) = (6,2)

Step-by-step explanation:

Given

(x_1,y_1) = (5,5)

(x_2,y_2) = (8,-4)

m:n  = 1:2

Required

Determine the coordinate of the partition

This is calculated using:

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Substitute values for m,n,x's and y's

(x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})

(x,y) = (\frac{18}{3},\frac{6}{3})

(x,y) = (6,2)

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