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Cerrena [4.2K]
3 years ago
9

Given the endpoint (-9,3) and (1,8) partition the segment into the ratio 2:3​

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

P = (-5,5)

Step-by-step explanation:

Let the segments be A and B

A = (-9,3)

B = (1,8)

m:n = 2:3

Required

Determine the endpoints after it is divided into ratios.

<em>Let the point be represented with P</em>

The formula to use is:

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

Where

A = (-9,3)  ----- (x_1,y_1)

B = (1,8) ------ (x_2,y_2)

So:

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

P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})

P = (\frac{-25}{5},\frac{25}{5})

P = (-5,5)

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