Answer :

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The Point F is at 10.

We have on a number line -

C → at → -6

D → at → 24

We have to determine the coordinates of F which is [tex]$\frac{1}{3}[/tex] of the way from C to D.

What is Number line ?

A Number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

According to the question, we have -

C → at → -6

D → at → 24

Total distance between C to D = |24| + |- 6| = 24 + 6 = 30

The coordinates of point F will be -

[tex]$\frac{1}{3} \times 30 = 10[/tex]

Hence, the Point F is at 10.

To solve more questions on Number line, visit the link below -

https://brainly.com/question/569716

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