The lengths of two sides of a triangle are shown.
Side 1: 8x2 − 5x − 2
Side 2: 7x − x2 + 3
The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
I hardly ever use this app, or any app like this, but this question has really got me, help please?
Part A)
Part B)
Part C)
Yes, they are.
Step-by-step explanation:
We are given a triangle and its two sides:
We are also given its perimeter:
Part A)
To find the total length of the two sides of the triangle, we can add them. So:
Combine like terms:
Compute. Hence, the total length of the two sides are:
Part B)
To find the length of the third side, we will subtract the length of the T sides from the perimeter. So:
Substitute:
First, distribute the negative:
Combine like terms:
Compute. Hence, the third side is:
Part C)
Yes, Part A and Part B indeed show that polynomials are closed under addition and subtraction.
In Part A, when we added, the variables stayed the same and the result is a polynomial.
In Part B, when we subtracted, the variables stayed the same and the result is a polynomial.
Hence, polynomials are closed under addition and subtraction.
the answer is d. 75%
2: 10
step-by-step explanation:
Side 2: 7x − x2...