Answer:
[tex]\sqrt{157}[/tex] units
Step-by-step explanation:
Use the distance formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex] to find the distance between the two points. Substitute the x and y values of (3, -2) and (14, -8) into the formula and simplify like so:
[tex]d = \sqrt{(14-3)^2+(-8-(-2))^2} \\d = \sqrt{(11)^2+(-8+2)^2} \\d = \sqrt{121+(-6)^2} \\d =\sqrt{121+36} \\d=\sqrt{157}[/tex]
So, the distance is [tex]\sqrt{157}[/tex] units.
