Question

ice between each pair of points. ab = √((-4 - 9)²+(7 - (-7))²)

Explanation:

Step1: Simplify the expressions inside the square - root.

First, calculate \(-4 - 9=-13\) and \(7-(-7)=7 + 7 = 14\). So \(AB=\sqrt{(-13)^{2}+14^{2}}\).

Step2: Calculate the squares.

\((-13)^{2}=169\) and \(14^{2}=196\). Then \(AB=\sqrt{169 + 196}\).

Step3: Add the numbers inside the square - root.

\(169+196 = 365\). So \(AB=\sqrt{365}\).

Answer:

\(\sqrt{365}\)