ANSWER:
The distance is 6.4 units
STEP-BY-STEP EXPLANATION:
We have the following points:
[tex]\begin{gathered} (5,2) \\ (1,-3) \end{gathered}[/tex]We have the formula to calculate the distance between two points in the Cartesanian plane is the following:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Replacing:
[tex]\begin{gathered} d=\sqrt[]{\mleft(1-5\mright)^2+\mleft(-3-2\mright)^2} \\ d=\sqrt[]{(-4)^2+(-5)^2} \\ d=\sqrt[]{(16+25} \\ d=\sqrt[]{41} \\ d=6.4 \end{gathered}[/tex]