37 POINTS A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of the rectangle? Show your work. Part B: What are the degree and classification of the expression obtained in Part A? Part C: How does Part A demonstrate the closure property for polynomials?

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A). Area = 10x² + 53x + 63 B) Degree = 2 and The polynomial is classified as a trinomial C) the polynomial is closed under multiplication. Step-by-step explanation: A) The sides of the rectangle measures (2x + 7) units and (5x + 9) units. Thus, Area = (2x + 7) * (5x + 9) This gives; Area = 10x² + 35x + 18x + 63 Area = 10x² + 53x + 63 B) The degree of the polynomial is 2 because of 10x² has the highest degree of x as 2. The polynomial is classified as a trinomial because there are three terms. C) From definition, Polynomials will be closed under an operation if the operation produces another polynomial. Now, in our question, we got another polynomial from multiplication operation of two polynomials. Thus, the polynomial is closed under multiplication.

Step-by-step explanation:

(1,-1) and (4,-6)

midpoint:

x = (1 + 4)/2 = 5/2

y = (-1 - 6)/2 = -7/2

Midpoint (5/2, -7/2)

Answer

D.

(5/2, -7/2)