[tex]\boxed{\overline{VT}=25\ units}[/tex]
Explanation:
In order to find:
[tex]\overline{VT}[/tex]
We'll use the Distance Formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
In this case, let's call:
[tex]V(x_{1},y_{1}) \rightarrow V(-1,-10) \\ \\ T(x_{2},y_{2}) \rightarrow T(6,14)[/tex]
Then, applying distance formula between these two points:
[tex]\overline{VT}=\sqrt{(6-(-1))^2+(14-(-10))^2} \\ \\ \overline{VT}=\sqrt{(6+1)^2+(14+10)^2} \\ \\ \overline{VT}=\sqrt{7^2+24^2} \\ \\ \overline{VT}=\sqrt{49+576} \\ \\ \overline{VT}=\sqrt{625} \\ \\ \boxed{\overline{VT}=25 \ units}[/tex]
Learn more:
Distance Formula: https://brainly.com/question/10134840
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