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Aloiza [94]
3 years ago
9

3.

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

M(x,y) = (4.8,4.4)

Step-by-step explanation:

Given

P(x_1,y_1) = (6,2)

Q(x_2,y_2) = (3,8)

m:n = PM:MQ = 3 : 2

Required

Determine the coordinates of M

To solve this, we make use of the following partition formula:

M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})

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

M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})

M(x,y) = (\frac{24}{5},\frac{22}{5})

M(x,y) = (4.8,4.4)

<em>Option D is correct</em>

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