Question

Точка М делит отрезок РК в отношении 2:1, начиная от точки Р. Найдите координаты точки М, если точки Р и К имеют соответственно координат: Р(2;4), К(6;2) СРОЧНО ПЖ​

Answer 1

Ответ:

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Answer 2

Finding the coordinates of point M

To find the coordinates of point M, which divides the line segment RK in a 2:1 ratio, we can use the formula for finding the coordinates of a point that divides a line segment in a given ratio.

Let's denote the coordinates of point R as (x1, y1) and the coordinates of point K as (x2, y2). In this case, R(2, 4) and K(6, 2).

The formula for finding the coordinates of point M is:

M(x, y) = ((x2 * m + x1) / (m + 1), (y2 * m + y1) / (m + 1))

In this formula, m represents the ratio in which the line segment is divided. In our case, m = 2.

Substituting the given values into the formula, we get:

M(x, y) = ((6 * 2 + 2) / (2 + 1), (2 * 2 + 4) / (2 + 1))

Simplifying the equation, we find:

M(x, y) = (10 / 3, 8 / 3)

Therefore, the coordinates of point M are approximately M(3.33, 2.67).

Please note that the coordinates are rounded to two decimal places for simplicity.

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