Question

find the distance between the points x and y. round your answer to the nearest tenth. x(1,3) y(2,-7)

Explanation:

Step1: Identify 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, $x_1 = 1,y_1 = 3,x_2=2,y_2=-7$.

Step2: Substitute values

$d=\sqrt{(2 - 1)^2+(-7 - 3)^2}=\sqrt{1^2+(-10)^2}=\sqrt{1 + 100}=\sqrt{101}$.

Step3: Calculate and round

$\sqrt{101}\approx 10.05\approx10.1$.

Answer:

$10.1$