1. The following formula is used to calculate the distance between two points:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}[/tex]
For this case you know that the points are:
[tex]T(4,-2);U(-2,3)[/tex]
Then, you can set up that:
[tex]\begin{gathered} x_2=-2 \\ x_1=4_{} \\ y_2=3 \\ y_1=-2 \end{gathered}[/tex]
Then, you must substitute the corresponding coordinates into the formula and then evaluate, in order to find the distance between the points T and U (to the nearest tenth):
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}} \\ d=\sqrt[]{(-2-4_{})^2+(3_{}-(-2)_{})^2_{}} \\ d=\sqrt[]{36+25} \\ d\approx7.8units \end{gathered}[/tex]
The answer is: Option c.
