Answer: Choice A) [tex]\sqrt{34}[/tex]
Work Shown:
Use the distance formula
Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)
d = distance between the two points
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-(-7))^2 + (3-(-2))^2}\\\\d = \sqrt{(-4+7)^2 + (3+2)^2}\\\\d = \sqrt{(3)^2 + (5)^2}\\\\d = \sqrt{9 + 25}\\\\d = \sqrt{34}\\\\[/tex]
Extra info: [tex]\sqrt{34} \approx 5.83[/tex]
