Question

using the distance formula find the distance between the two points. round your result to two decimal places. 37. j(1, 1), k(-1, 11)

Explanation:

Step1: Recall the 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, $x_1 = 1,y_1 = 1,x_2=-1,y_2 = 11$.

Step2: Substitute the values into the formula

$d=\sqrt{(-1 - 1)^2+(11 - 1)^2}=\sqrt{(-2)^2+10^2}=\sqrt{4 + 100}=\sqrt{104}$.

Step3: Calculate and round

$\sqrt{104}\approx10.20$.

Answer:

$10.20$