Question

find the distance between r(3,4) and t(7,2). round to the nearest tenth, if necessary.

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, $x_1 = 3,y_1 = 4,x_2=7,y_2 = 2$.

Step2: Substitute values

$d=\sqrt{(7 - 3)^2+(2 - 4)^2}=\sqrt{4^2+( - 2)^2}=\sqrt{16 + 4}=\sqrt{20}$.

Step3: Simplify and round

$\sqrt{20}=2\sqrt{5}\approx 4.5$.

Answer:

$4.5$