The perimeter of the triangle shown is represented by the

expression 10x - 1.

The lengths of two sides are given. Which kind of

expression represents the missing length?

exponential

rational

linear

quadratic

3x + 1

5x - 2

Linear expression represents the missing length

Solution:

The perimeter of the triangle shown is represented by the expression 10x - 1

The lengths of two sides are given: 3x + 1 and 5x - 2

We have to find the length of third side

We know that,

perimeter of the triangle = sum of length of all three sides

10x - 1 = 3x + 1 + 5x - 2 + third side

10x - 1 = 8x - 1 + third side

third side = 10x - 1 - 8x + 1

third side = 2x

2x has variable x and its power is 1

Linear expression is an algebraic expression where the power of variable is equals to 1

Thus linear expression represents the missing length