Question

When finding the weighted average of two points, if the result is halfway between the two points, what are the weights of the two points?

A. 1 and 2
B. 1/2 and 1
C. 1/2 and 1/2
D. 1/3 and 2/3

Answer 1

The weights of the two points when the result is halfway between them are 1/2 and 1/2.

Therefore, the answer is C). 1/2 and 1/2.

Step-by-step explanation:

To find the weighted average of two points, you need to assign weights to each point.

Let's say the two points are A and B, and the weights are x and y.

The weighted average is calculated using the formula (Ax + By) / (x + y).

In this case, the result is halfway between the two points, so the weighted average would be (1/2)A + (1/2)B.

Comparing this with the formula, we can see that the weights are 1/2 and 1/2.