Question

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3?

Answer 1

`(5)/(8)`

Explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

`k=(5)/(3+5)`

`k=(5)/(8)`

Therefore, the value of k is
`(5)/(8)`.

Answer 2

Since the value of k can be determined by dividing the numerator of the original ratio, which is 5, by the sum of the numerator and denominator of the ratio:
(5+3)=8

Thus the value for k = 5/8