Respuesta :

Shokonishimiya19

Answer:

  • To obtain a 5:1 ratio, the x coordinate of M is 5/6 of the way between the x-coordinate of X (1) and the x-coordinate of Y (10).

  • 5/6 of that distance = 5/6 * (10 - 1) = 7.5, which you add to the x-coordinate of X(1), to get the x-coordinate of M (8.5).

  • Similarly, the y-coordinate of M is 5/6 of the way between the y-coordinate of X (-2) and the y-coordinate of y (3). 5/6 of that distance = 5/6 * (3 - - 2) = 4.17, which you add to the y-coordinate of X(-2), to get the y-coordinate of M(2.17).

  • So the coordinates of M are (8.5,2.17)
MrRoyal

The coordinates of point M after the partition is (2, 3.25)

How to determine the coordinates?

We have:

  • Endpoints = (-1,1) and (7,7)
  • Ratio, m : n = 3 : 5

The coordinates of point M is then calculated using:

[tex]M = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex]M = \frac{1}{3 + 5} * (3 * 7 + 5 * -1,3 * 7 + 5 * 1)[/tex]

Evaluate the sum and the product

[tex]M = \frac{1}{8} * (16,26)[/tex]

Evaluate the product

M = (2,3.25)

Hence, the coordinates of point M is (2, 3.25)

Read more about line partition at:

https://brainly.com/question/17374569

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