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

Explanation:

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

`d=√((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=√((8-12)^2+(-30-(-22))^2)=√(4^2+8^2)=√(4^2(1+2^2))=4\sqrt5`