Question

1. Points A and B are to be mapped onto a number line according to two equations.

Answer 1

ANSWERS

(a) A = -36

(b) B = -100

(c) 64

Step-by-step explanation

(a) To solve the first equation we have to multiply both sides by 3,

`\begin{gathered} (2)/(3)\cdot3\cdot A=-24\cdot3 \\ 2A=-72 \end{gathered}`

And divide both sides by 2,

`\begin{gathered} (2A)/(2)=(-72)/(2) \\ A=-36 \end{gathered}`

(b) For the second equation, we have to multiply both sides by -0.2,

`\begin{gathered} 20\cdot(-0.2)=-(B)/(0.2)(-0.2) \\ -100=B \end{gathered}`

(c) The distance between two points on a number line is the difference between the two values, in absolute value,

`d=|A-B|=|-36-(-100)|=|-36+100|=64`

So the distance between A and B is 64.