Question

A choreographer uses a number line to position dancers for a ballet. Dancers A and B

have coordinates 5 and 23, respectively. Find the coordinate for each of the following
dancers 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 following
dancers based on the given locations.

Answer 1

the coordinates of dancer c = 15

Explanation:

the coordinates of dancer A is 5 and the coordinate of dancer B is 23

the distance between dancer A and dancer B is

distance = 23 -5

= 18

so,

as dancer C is 5/9 of the distance from dancer A to dancer B, find the 5/9 of the distance .

5/9 of distance = 5/9(18)

= 10

add the above value to coordinates of dancers A to find the coordinates dancer C

coordinate of dancer c = 10 + 5

= 15

hence , the coordinates of dancer c = 15

Answer 2

First we will calculate the distance AB.

`AB=B-A=23-5=18.`
If C is 5/9 of the distance, mathematically speaking that means:

`C= (5)/(6) *AB= (5)/(6) *18=15.`
R: The coordonate of C is 15.