Question

What is the length of a line segment that connects the points located at coordinates (12,-22) and (8,-30)? Do not round answer. (leave as a square root)

Answer 1

Step-by-step explanation:

$\text{The length between 2 points, } (x_1, y_1)\text{ and }(x_2,y_2)\text{ is determined by, }$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\text{The length between } (12, -22)\text{ and }(8, -30)\text{ is determined by, }$

$d=\sqrt{(8-12)^2+(-30-(-22))^2}=\sqrt{4^2+8^2}=\sqrt{4^2(1+2^2)}=4\sqrt5$