Answer:
7.81 units
Step-by-step explanation:
U = (-1, 3), W = (4, - 3)
By distance formula:
[tex]l(UW) = \sqrt{ {(4 + 1)}^{2} + {( - 3 - 3)}^{2} } \\ \hspace{33 pt}= \sqrt{ {5}^{2} + ( - 6)^{2} } \\ \hspace{33 pt}= \sqrt{25 + 36} \\ \hspace{33 pt} = \sqrt{61} \\ \hspace{33 pt}= 7.81 \: units \\ [/tex]
