Question

find the distance between the points (1, 0) and (-10, -1). write your answer as a whole number or a fully simplified radical expression. do not round. units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 1,y_1 = 0,x_2=-10,y_2=-1$.

Step2: Substitute values

$d=\sqrt{(-10 - 1)^2+(-1 - 0)^2}=\sqrt{(-11)^2+(-1)^2}$.

Step3: Calculate squares

$d=\sqrt{121 + 1}=\sqrt{122}$.

Answer:

$\sqrt{122}$ units