The lengths of two sides of a triangle are shown below:

 

Side 1: 3x2 − 2x − 1

 

Side 2: 9x + 2x2 − 3

 

The perimeter of the triangle is 5x3 + 4x2 − x − 3.

 

Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points)

 

Part B: What is the length of the third side of the triangle? (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)

 

 

 

 

 

 

Question 2 (Essay Worth 10 points)

 

(07.01, 07.06 MC)

 

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

 

Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points)

 

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

 

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

 

 

 

 

 

 

Question 3 (Essay Worth 10 points)

 

(07.09 HC)

 

A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading.

 

The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

 

Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points)

 

Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

 

 

AccountingQueen

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Status NEW Posted 18 Aug 2017 05:08 PM My Price 10.00

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