Question

Известно,что точка M-середина отрезка AB.Найдите координату точки B,если А(2.3),М(4,6)

Answer 1

A2.3 M4.6 значит ( следовательно законамерности) B=6.9

Answer 2

Точка В с координатами (6;9)

Answer 3

Finding the Coordinate of Point B

To find the coordinate of point B, we can use the fact that point M is the midpoint of segment AB. Given the coordinates of point A as (2,3) and point M as (4,6), we can use the midpoint formula to find the coordinate of point B.

The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the following formulas:

x-coordinate of M = (x1 + x2) / 2 y-coordinate of M = (y1 + y2) / 2

Applying this formula to our problem, we have: x-coordinate of M = (2 + x2) / 2 = 4 y-coordinate of M = (3 + y2) / 2 = 6

Solving these equations, we can find the value of x2 and y2, which represent the coordinates of point B.

From the equation for the x-coordinate of M: (2 + x2) / 2 = 4 2 + x2 = 8 x2 = 8 - 2 x2 = 6

From the equation for the y-coordinate of M: (3 + y2) / 2 = 6 3 + y2 = 12 y2 = 12 - 3 y2 = 9

Therefore, the coordinate of point B is (6, 9).

Answer: The coordinate of point B is (6, 9).