Step-by-step explanation:
Hey there!!!
Here, the points of T and U are (5,-6) and (-7,-6) respectively.
Using formula for distance between two points.
[tex](distance ) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Keep all values.
[tex](distance ) = \sqrt{ {( - 7 - 5)}^{2} + {( - 6 + 6)}^{2} } [/tex]
Simplify them to get answer.
[tex](distance) = \sqrt{( { - 12}^{2} + ( {0)}^{2} } [/tex]
[tex](distance) = \sqrt{144} [/tex]
Therefore the distance between T and U is 12 units.
Hope it helps ...