Question

suppose that r and s are points on the number line. if rs = 9 and s lies at 18, where could r be located? if there is more than one location, separate them with commas. location(s) of r :

Explanation:

Step1: Consider two - case scenarios

On a number - line, if \(S = 18\) and \(RS=9\), we have two cases.

Step2: Calculate the first case ( \(R\) is to the left of \(S\))

If \(R\) is to the left of \(S\), then \(R=S - RS\). Substituting the given values, \(R = 18-9=9\).

Step3: Calculate the second case ( \(R\) is to the right of \(S\))

If \(R\) is to the right of \(S\), then \(R=S + RS\). Substituting the given values, \(R = 18 + 9=27\).

Answer:

9,27