10
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 10 • Integrated Math I Semester 2 - LHS (2016)

Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11).

Answer
A
length = 11.18, midpoint = (–5.5, 1)
B
length = 11.18, midpoint = (–9.5, 10)
C
length = 26.17, midpoint = (–5.5, 1)
D
length = 26.17, midpoint = (–9.5, 10)

Explanation

Use the distance formula: the coordinate differences are 11 and 2, so the length is √(11² + 2²) = √125 ≈ 11.18. The midpoint is ((−15 + (−4))/2, (9 + 11)/2) = (−9.5, 10). Therefore, the correct choice is B: length = 11.18, midpoint = (−9.5, 10).

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