Q:

A choreographer uses a number line to position dancers for a ballet. Dancers A and Bhave coordinates 5 and 23, respectively. Find the coordinate for each of the followingdancers based on the given locations.Dancer C stands at a point that is 5/9 of the distance from Dancer A to Dancer B. Find the coordinate for each of the followingdancers based on the given locations.

Accepted Solution

A:
First we will calculate the distance AB. 
[tex]AB=B-A=23-5=18.[/tex]
If C is 5/9 of the distance, mathematically speaking that means:
[tex]C= \frac{5}{6} *AB= \frac{5}{6} *18=15. [/tex]
R: The coordonate of C is 15.