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Rom4ik [11]
3 years ago
6

Find the coordinates of a point on the directed segment from (3,-2) to (8,0) that divides it into a ratio of 3:1.

Geography
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

(x,y) = (\frac{27}{4}, -\frac{1}{2})

Explanation:

Given

(x_1,y_1) = (3,-2)

(x_2,y_2) = (8,0)

m : n = 3  :1

Required

The coordinates of the point

This is calculated using:

(x,y) = \frac{1}{m+n}(mx_2 + nx_1, my_2 + ny_1)

So, we have:

(x,y) = \frac{1}{3+1}(3*8 + 1*3, 3*0 - 1*2)

(x,y) = \frac{1}{4}(27, -2)

So, we have:

(x,y) = (\frac{27}{4}, -\frac{1}{2})

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