Question

Find the distance between the two points: (3,-2) and (14. -8). State your answer as a radical square root) if necessary to be exact.

Answer 1

Answer:

$\sqrt{157}$ units  

Step-by-step explanation:

Use the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ 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:

$d = \sqrt{(14-3)^2+(-8-(-2))^2} \\d = \sqrt{(11)^2+(-8+2)^2} \\d = \sqrt{121+(-6)^2} \\d =\sqrt{121+36} \\d=\sqrt{157}$

So, the distance is $\sqrt{157}$ units.