Respuesta :

aencabo
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

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step 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.

[tex]k=\frac{5}{3+5}[/tex]

[tex]k=\frac{5}{8}[/tex]

Therefore, the value of k is [tex]\frac{5}{8}[/tex].