WILL give brainliest
A rectangle has sides measuring (4x + 5) units and (3x + 10) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (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)

Part A:

Area of a rectangle: A = lw

A = (4x + 5) * (3x + 10)

A = 12x² + 55x + 50

Part B:

The degree of the expression is 2 and it is a trinomial. A quadratic binomial.

Part C:

Part A demonstrates the closure property of polynomials because the product of the 2 polynomials is a polynomial.

A. 12x² + 55x + 50

B. Degree: 2

C. Product of two polynomials is also a polynomial

Step-by-step explanation:

(4x + 5) × (3x + 10)

12x² + 15x + 40x + 50

12x² + 55x + 50

This is a quadratic (degree 2) polynomial

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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