Question

The coordinates of the point T are (5, -6) and the coordinates of point U are

(-7, -6). What is the distance, in units, between the point T and point U?

Answer 1

Explanation:

Hey there!!!

Here, the points of T and U are (5,-6) and (-7,-6) respectively.

Using formula for distance between two points.

`(distance ) = \sqrt{( {x2 - x1)}^(2) + ( {y2 - y1)}^(2) }`

Keep all values.

`(</strong><strong>distance</strong><strong> </strong><strong>) = \sqrt{ {( - 7 - 5)}^(2) + {( - 6 + 6)}^(2) }`

Simplify them to get answer.

`(</strong><strong>distance</strong><strong>) = \sqrt{( { - 12}^(2) + ( {0)}^(2) }`

`(</strong><strong>distance</strong><strong>) = √(144)`

Therefore the distance between T and U is 12 units.

Hope it helps ...