Question

The coordinates of the point TT are (5,-6)(5,−6) and the coordinates of point UU are (-7,-6).(−7,−6). What is the distance, in units, between the point TT and point U?U?

Answer 1

Answer:

The distance between points T and U is 12 units.

Step-by-step explanation:

Let $T(x,y) = (5,-6)$ and $U = (-7,-6)$. The distance between points T and U represents a straight line, whose is length ($TU$) can be determined by Pythagorean Theorem. That is:

$TU = \sqrt{(x_{U}-x_{T})^{2}+(y_{U}-y_{T})^{2}}$ (1)

If we know that $x_{T} = 5$, $x_{U} = -7$, $y_{T} = -6$ and $y_{U} = -6$, then the length between those coordinates is:

$TU = \sqrt{(-7-5)^{2}+[-6-(-6)]^{2}}$

$TU = 12$

The distance between points T and U is 12 units.