Question

ance between each pair of points. ab = \sqrt{(-4 - (-5))^{2}+(6 - 7)^{2}} 0/13 pts 5 19 between each pair of points.

Explanation:

Step1: Simplify the expressions inside the square - root.

\[

$$\begin{align*} AB&=\sqrt{(-4 - (- 5))^{2}+(6 - 7)^{2}}\\ &=\sqrt{(-4 + 5)^{2}+(6 - 7)^{2}}\\ &=\sqrt{(1)^{2}+(-1)^{2}} \end{align*}$$

\]

Step2: Calculate the squares and sum.

\[

$$\begin{align*} AB&=\sqrt{1 + 1}\\ &=\sqrt{2} \end{align*}$$

\]

Answer:

$\sqrt{2}$