Question

Question 19 of 23What is the location of the point on the number line that is of the way fromA = -6 to B=9?O A. 1OB. -3OC. 0O D. -1SUBMIT

Answer 1

Explanation

So the point we are looking for is located x units at the left of A. This distance x is equivalent to 2/5 of the total distance between A and B. If this distance is d then x meets the following:

$x=\frac{2}{5}d$

The distance between A and B can be found by substracting their values:

$d=B-A=9-(-6)=9+6=15$

Then x is equal to:

$x=\frac{2}{5}\cdot15=\frac{30}{5}=6$

So the point we are looking for is 6 units at the right of A then its position in the number line is:

$A+6=-6+6=0$Answer

Then the answer is option C.