Question

find the distance between the pair of points. if necessary, express answers in simplified radical form and then round to two decimal places. (8,3) and (17,15) the distance between the points is units. (simplify your answer. type an exact answer, using radicals as needed.)

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, $(x_1,y_1)=(8,3)$ and $(x_2,y_2)=(17,15)$.

Step2: Substitute values

$d=\sqrt{(17 - 8)^2+(15 - 3)^2}=\sqrt{9^2+12^2}$.

Step3: Calculate squares

$d=\sqrt{81 + 144}=\sqrt{225}$.

Step4: Simplify square - root

$d = 15$.

Answer:

15