Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.
The commutative property of addition and the associative property demonstrate this.
The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
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The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
Answer:
Step-by-step explanation:

Answer:
1. k=53.244 or k=13311/250
The area of the rectangle that has a perimeter of 44 in is calculated as: 117 in².
<h3>What is the Area and Perimeter of a Rectangle?</h3>
Area = length × width
Perimeter = 2(length + width).
Given the following:
- Width = w in.
- Length = w + 4 in
- Perimeter of the rectangle = 44 in.
Therefore:
2(w + 4 + w) = 44
Solve for w
2(2w + 4) = 44
4w + 8 = 44
4w = 44 - 8
4w = 36
w = 9
Width of the rectangle = w = 9 in.
Length = w + 4 = 9 + 4 = 13 in.
Area of the rectangle = 13 × 9 = 117 in².
Learn more about the area of rectangle on:
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