Answer:
B. [tex] \sqrt{106} [/tex]
Step-by-step explanation:
Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (-4, 3) = (x_1, y_1) [/tex]
[tex] (5, -2) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]
[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]
[tex] d = \sqrt{81 + 25} [/tex]
[tex] d = \sqrt{106} [/tex]
