Question

1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 2/3 A= -24 is the coordinate of point A. The solution to the equation 20=-b/0.5 is the coordinate of point B. (c) Determine the distance between points A and B

Answer 1

The solution to the equation 2/3 A= -24 is the coordinate of point A.

2/3 A = -24
A = -24 / 2/3
A = -24 * 3/2
A = -72/2
A = -36

The solution to the equation 20=-b/0.5 is the coordinate of point B

20 = -b/0.5
20 * 0.5 = -b
10 = -b
10/-1 = -b/-1
-10 = b

A = -36 and B = -10

The distance between the two letters is 26 units.