Question

Line segment TU has endpoints (-7,10) and (-6,-5). What is the length of TU to the NEAREST TENTH?

Answer 1

Answer: 15 units

Explanation:

Given

The endpoints of the line segment are
`(-7,10)\ \text{and}\ (-6,-5)`

The length of the line segment is given by the distance formula i.e.

`d=√(\left( x_2-x_1\right)^2+\left( y_2-y_1\right)^2)`

Insert the values,

`\Rightarrow d=√(\left( -6+7\right)^2+\left( -5-10\right)^2)\\\Rightarrow d=√(1^2+\left( -15\right)^2)\\\Rightarrow d=√(1+225)\\\Rightarrow d=15.0\ \text{units}`

Therefore, the length of line segment TU is 15 units