Question

find the length of c on the graph. when necessary, round to the nearest tenth.

Explanation:

Step1: Determine the horizontal and vertical distances

The horizontal distance \(a\) between the two points is \(|3 - (-3)|=6\). The vertical distance \(b\) is \(| - 2-1| = 3\).

Step2: Apply the Pythagorean theorem

By the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 6\) and \(b=3\) into the formula: \(c=\sqrt{6^{2}+3^{2}}=\sqrt{36 + 9}=\sqrt{45}\).

Step3: Simplify the square - root

\(\sqrt{45}=\sqrt{9\times5}=3\sqrt{5}\approx3\times2.24 = 6.7\)

Answer:

\(6.7\)