Graphing equations and inequalities review. The end point of four segments are given below which segment has the greatest length

Answer 1

1. Segment A: (-2, 5) and (1, 8)
Length = sqrt[(1 - (-2))^2 + (8 - 5)^2] = sqrt[3^2 + 3^2] = sqrt[18] = 4.24

2. Segment B: (1, 8) and (3, 10)
Length = sqrt[(3 - 1)^2 + (10 - 8)^2] = sqrt[2^2 + 2^2] = sqrt[8] = 2.83

3. Segment C: (3, 10) and (5, 9)
Length = sqrt[(5 - 3)^2 + (9 - 10)^2] = sqrt[2^2 + 1^2] = sqrt[5] = 2.24

4. Segment D: (5, 9) and (6, 6)
Length = sqrt[(6 - 5)^2 + (6 - 9)^2] = sqrt[1^2 + 3^2] = sqrt[10] = 3.16

Segment A has the greatest length with a length of 4.24.