which points have a distance of 5 units between them p=-5 q=-3 r=-2 s=2
To find which points have a distance of 5 units between them, we can calculate the absolute difference between each pair of points and see if it equals 5.
The absolute difference between two points A and B is given by |A - B|.
Given points P = -5, Q = -3, R = -2, and S = 2,
1. Distance between P and Q:
|P - Q| = |-5 - (-3)| = |-5 + 3| = |-2| = 2 (Not 5 units apart)
2. Distance between P and R:
|P - R| = |-5 - (-2)| = |-5 + 2| = |-3| = 3 (Not 5 units apart)
3. Distance between P and S:
|P - S| = |-5 - 2| = |-7| = 7 (Not 5 units apart)
4. Distance between Q and R:
|Q - R| = |-3 - (-2)| = |-3 + 2| = |-1| = 1 (Not 5 units apart)
5. Distance between Q and S:
|Q - S| = |-3 - 2| = |-5| = 5 units apart
6. Distance between R and S:
|R - S| = |-2 - 2| = |-4| = 4 (Not 5 units apart)
Based on the calculation, only points Q and S have a distance of 5 units between them.