For this problem is it only asking for the exprssion(formula). Or do they want me to solve it.
(1) A triangle has sides 3x+7,4x-9,and 5x+6. Find the expression that represents its perimeter.
My answer:P=a+b+c
I think the question is asking for the expression, but I would take that to mean that you substitute the values for the sides; i.e.,
P = 3x+7+4x-9+5x+6=12x+4
P=12x+4 is the expression for the perimeter. That isn't solving it for no value is given for x.
You are correct. The question is asking for the expression that represents the perimeter of the triangle, not to solve for a specific value of x.
To find the expression for the perimeter, you need to add the lengths of all three sides of the triangle together.
Given that the sides of the triangle are 3x+7, 4x-9, and 5x+6, you can represent the perimeter using the formula P = a + b + c, where a, b, and c are the lengths of the three sides of the triangle.
Substituting the given expressions for the sides into the formula, you get:
P = (3x + 7) + (4x - 9) + (5x + 6)
Combining like terms, you simplify the expression:
P = 3x + 4x + 5x + 7 - 9 + 6
P = 12x + 4
Therefore, the expression that represents the perimeter of the triangle is P = 12x + 4. Remember, this expression is valid for any value of x.