Question

find the distance between the pair of points. (-3,5) and (2,-2) the exact distance is \\( \sqrt { 74 } \\) units. (type an exact answer, using radicals as needed.) the distance is approximately \\( \square \\) units. (round to the nearest thousandth as needed.)

Explanation:

Step1: Calculate the approximate value of \(\sqrt{74}\)

We know that \(\sqrt{64} = 8\) and \(\sqrt{81}=9\). Using a calculator, \(\sqrt{74}\approx8.602325267\)

Step2: Round to the nearest thousandth

Looking at the fourth decimal place. The digit in the fourth decimal place is \(3\), which is less than \(5\). So we round down.

Answer:

\(8.602\)