Answer: [tex]3\sqrt{13}[/tex] is correct
Work Shown:
[tex](x_1,y_1) = (-5,7) \text{ and } (x_2,y_2) = (1,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-5-1)^2 + (7-(-2))^2}\\\\d = \sqrt{(-5-1)^2 + (7+2)^2}\\\\d = \sqrt{(-6)^2 + (9)^2}\\\\d = \sqrt{36 + 81}\\\\d = \sqrt{117}\\\\d = \sqrt{9*13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = 3\sqrt{13}\\\\d \approx 10.81665\\\\[/tex]
