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3 years ago

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!

Mathematics

2 answers:

BigorU [14]3 years ago

6 0

Answer:

a. 10x + 4; the answer is a polynomial

Svetach [21]3 years ago

3 0

Answer:

a. 10x + 4; the answer is a polynomial

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides.

The closure property is that if you add polynomials, the sum is a polynomial.

A rectangle has two congruent lengths and two congruent widths.

Since the length of the rectangle is 3x + 5, there is another length of 3x + 5. The width is 2x - 3, so there is a second width of also 2x - 3.

Let's add the 4 sides together:

3x + 5 + 3x + 5 + 2x - 3 + 2x - 3 =

= 3x + 3x + 2x + 2x + 5 + 5 - 3 - 3

= 10x + 4

The perimeter is 10x + 4. Each side length is a polynomial, and the sum of the all the side length is also a polynomial. This shows there is closure for the addition of polynomials.

Answer: a. 10x + 4; the answer is a polynomial

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