Question

The sides of a triangle are - 2x + 3, 9x, and -2(3x - 2), what is the perimeter

Answer 1

The perimeter is: x + 7

Explanation:

A perimeter of a polygon is the sum of all of the sides. For the triangle's perimeter, we must find the sum of the sides.

(-2x+3) + (9x) + -2(3x-2)

-2x+3 + 9x - 6x + 4

9x - 8x + 7

x + 7

Answer 2

Explanation:

To find the perimeter of a triangle, we need to add the lengths of all three sides. Let's calculate the perimeter using the given side lengths:

Side 1: -2x + 3

Side 2: 9x

Side 3: -2(3x - 2)

Perimeter = Side 1 + Side 2 + Side 3

Substituting the given expressions for each side:

Perimeter = (-2x + 3) + (9x) + [-2(3x - 2)]

Simplifying the expression within the square brackets:

Perimeter = -2x + 3 + 9x - 2(3x - 2)

Using the distributive property:

Perimeter = -2x + 3 + 9x - 6x + 4

Combining like terms:

Perimeter = x + 7

Therefore, the perimeter of the triangle is x + 7.