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Ответ:

elizebeth4501

28.05.2022

Mathematics

(2.6, -2.7)

Step-by-step Explanation:

Let X represent the point which is 7/10 of the way from A to B.

AX to XB = 7:10 = AX/XB = 7/10.

Formula for internal division to find the coordinates is:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

A(-4, -8) = (x_1, y_1)

B(12, 5) = (x_2, y_2)

m = 7, n = 10

Substitute the values above into the stated formula to find x and y coordinates as follows:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{7(12) + 10(-4)}{7 + 10}$

$x = \frac{84 - 40}{17}$

$x = \frac{44}{17}$

x = 2.6

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{7(5) + 10(-8)}{7 + 10}$

$y = \frac{35 - 80}{17}$

$y = \frac{-45}{17}$

y = -2.7

The coordinates of the point 7/10 of the way from A to B are (2.6, -2.7)

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