Question

approximate the distance between (1,2) and (7,6) to the nearest tenth. the distance is about 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, $x_1 = 1,y_1=2,x_2 = 7,y_2 = 6$.

Step2: Substitute values

$d=\sqrt{(7 - 1)^2+(6 - 2)^2}=\sqrt{6^2+4^2}=\sqrt{36 + 16}=\sqrt{52}$.

Step3: Approximate the value

$\sqrt{52}\approx7.2$.

Answer:

$7.2$