A triangle has sides 3x +7, 4x - 9, and 5x + 6. Find the polynomial that represents its perimeter.
Am I suppose to just add these together to get the perimeter
3x+7
4x-9
5x+6
12x+4
that's how easy it is.
12x-6
To find the polynomial that represents the perimeter of the triangle, you need to add the lengths of all three sides of the triangle.
Given the lengths of the sides are 3x + 7, 4x - 9, and 5x + 6, you can add them together:
(3x + 7) + (4x - 9) + (5x + 6)
To simplify this expression, you need to combine like terms:
3x + 7 + 4x - 9 + 5x + 6
Combine the terms with 'x':
(3x + 4x + 5x) + (7 - 9 + 6)
Combine the constants:
12x + 4
Therefore, the polynomial that represents the perimeter of the triangle is 12x + 4.