### Home > CC1 > Chapter 4 > Lesson 4.2.4 > Problem4-83

4-83.

In parts (a) through (c) below, refer to the previous problem. You will find the length of the line segments in problem 4-82 by substituting given values for the variables. For example, if x is 3 units in part (a) of problem 4-82, the line segment would be 3 + 1 + 3 = 7 units long. Homework Help ✎

1. Find the length of the line segment in part (a) of problem 4-82 using x = 4$\frac { 1 } { 2 }$.

$\text{Substitute }4\frac{1}{2} \text{ for }x\text{ in the expression you wrote for part (a) of problem 4-82.}$

$4\frac{1}{2}+1+4\frac{1}{2}=4+4+1+\left(\frac{1}{2}+\frac{1}{2}\right) = 10\text{ units}$

2. Find the length of the line segment in part (b) of problem 4-82 using m = 4.

After substituting 4 for m, the expression for the length of the line segment is 4 + 4 + 4 + 5.

3. Find the length of the line segment in part (c) of problem 4-82 using y = 5.5.

• Your new expression will look like 5.5 + 2 + 5.5 + 2. Find the value of this expression to determine the
length of the line segment.