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Point A weighs three times as much as point B.
Find the coordinates of their weighted average.
Enter your answer as (X,Y) (e.g. (1.5,-6))
(20 Points)
Enter your answer
L
A(-4,-4)
A
O
B(2, 0)
C(5,2)

3 Point A weighs three times as much as point B Find the coordinates of their weighted average Enter your answer as XY eg 156 20 Points Enter your answer L A44 class=


Answer :

Using the weighed mean, the coordinates of their weighted average are given by:

(-1, -2).

What is the weighted mean?

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

In this problem, we have that:

  • Point A has a weight of 3.
  • Points B and C have weights of 1.

The x-coordinate is the mean of the x-coordinates of the points, hence:

x = (3 x (-4) + 2 + 5)/5 =  -1.

The y-coordinate is the mean of the y-coordinates of the points, hence:

y = (3 x (-4) + 0 + 2)/5 = -2.

The coordinates of their weighted average are given by:

(-1, -2).

More can be learned about the weighed mean at https://brainly.com/question/24398353

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