Answer:
- distance between P and Q: 3√17
- midpoint of PQ: (3.5, 0)
Step-by-step explanation:
The distance formula is used to find the length of the segment:
d = √((x2 -x1)² +(y2 -y1)²) = √((2-5)² +(6-(-6))²)
d = √((-3)² +12²) = √(9+144) = √153
d = 3√17 ≈ 12.369 . . . units distance between P and Q
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The midpoint is the average of the end point coordinates:
(P+Q)/2 = ((5, -6) +(2, 6))/2 = (5+2, -6+6)/2
= (7/2, 0) . . . . midpoint of PQ
