Answer:
B. [tex] \sqrt{116} [/tex]
Step-by-step explanation:
Lenght of segment AB is the distance between A(-3, 1) and B(7, 5):
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-3, 1) = (x_1, y_1) [/tex]
[tex] B(7, 5) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(7 - (-3))^2 + (5 - 1)^2} [/tex]
[tex] AB = \sqrt{(10)^2 + (4)^2} [/tex]
[tex] AB = \sqrt{100 + 16} = [/tex]
[tex] AB = \sqrt{116} [/tex]
