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Point 
Q is located at -14 . Points 
R and 
S are each 9 units away from Point 
Q. Where are 
R and 
S located?

R=◻quadS=◻

Point Q \mathrm{Q} is located at 14-14 . Points R \mathrm{R} and S \mathrm{S} are each 99 units away from Point Q \mathrm{Q} . Where are R \mathrm{R} and S \mathrm{S} located?\newlineR=S= \mathrm{R}=\square \quad \mathrm{S}=\square

Full solution

Q. Point Q \mathrm{Q} is located at 14-14 . Points R \mathrm{R} and S \mathrm{S} are each 99 units away from Point Q \mathrm{Q} . Where are R \mathrm{R} and S \mathrm{S} located?\newlineR=S= \mathrm{R}=\square \quad \mathrm{S}=\square
  1. Understand the problem: Understand the problem.\newlineWe are given a point QQ on a number line at 14-14. We need to find two points, RR and SS, that are each 99 units away from QQ. This means we will find two points, one to the left and one to the right of QQ, since a number line extends in both directions.
  2. Find point R: Find the location of point R.\newlineTo find point R, which is 99 units away from Q to the left on the number line, we subtract 99 from the position of Q.\newlineSo, R=Q9=149=23R = Q - 9 = -14 - 9 = -23.
  3. Find point S: Find the location of point S.\newlineTo find point S, which is 99 units away from Q to the right on the number line, we add 99 to the position of Q.\newlineSo, S=Q+9=14+9=5S = Q + 9 = -14 + 9 = -5.

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