Step 1
State the formula for the distance between 2 points
[tex]D(EN)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)}[/tex]
where
[tex]\begin{gathered} x_2=-2 \\ x_1=3 \\ y_2=2 \\ y_1=-3 \end{gathered}[/tex]
Step 2
Find the distance between the points E and N
[tex]\begin{gathered} D(EN)=\sqrt[]{(-2-3)^2+(2-(-3))^2} \\ D(EN)=\sqrt[]{(-5)^2+(5)^2} \\ \end{gathered}[/tex]
[tex]\begin{gathered} D(EN)=\sqrt[]{25+25} \\ D(EN)=\sqrt[]{50} \\ D(EN)=7.071067812 \\ D(EN)\approx\text{ 7.07 to the nearest hundredth} \end{gathered}[/tex]
The distance between the points E and N approximately to the nearest hundredth= 7.07 units
