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

Step-by-step 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.  

$d=\sqrt{\left( x_2-x_1\right)^2+\left( y_2-y_1\right)^2}$

Insert the values,

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

Therefore, the length of line segment TU is 15 units