![montgomerykarloxc24x](/avatars/27971.jpg)
montgomerykarloxc24x
17.02.2021 •
Mathematics
PLEASE ANSWER THIS AND ALSO SHOW THE GRAPH WHOEVER WILL ANSWER THIS WILL GET TO BE BRAINLIST!!!
Solved
Show answers
More tips
- F Food and Cooking Discover the most delicious spaghetti with these tips...
- P Philosophy How did the concept of module arise in computer science?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- H Health and Medicine At What Age Does a Person Stop Growing?...
- F Family and Home How to Choose a Name for Your Baby?...
- F Food and Cooking Discover the Health Benefits of Cedar Nuts...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- F Food and Cooking How to Make Sushi: A Step-by-Step Guide to Perfectly Rolled Delights...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
Answers on questions: Mathematics
- M Mathematics Answer this question for points...
- M Mathematics What is 5a +14=3(a +2)...
- M Mathematics I know it’s sine but I am pretty sure it is 12.3 but I am not sure where to go from here....
- M Mathematics This was wrong.. Why?...
- M Mathematics Mother made a pancake with a radius of 11.5 timeters What is the ctreunferemce of the pancake?...
- M Mathematics Write an exponential function in the form y=ab^x that goes through the point (0,17) and (6,1088)...
- M Mathematics Write the polynomial function given the x-intercepts are (-1,0), (2,0), and (4,0)....
- M Mathematics . Hay 2,400 estudiantes en la escuela IS 61. La Sra. Caruso y la Sra. Kaler encuestaron a su clase sobre cómo llegan a la escuela. Encuestaron a 30 estudiantes. De esos 30 estudiantes,...
- M Mathematics What is the 5 steps in Method of Elimination Steps to Solve Simultaneous Equations.....
- M Mathematics Which equation represents a proportional relationship that has a constant of proportionality equal to 2? y = x + 2 y = x/2 y = 2 x y = 2 pls hurry...
Ответ:
Part A: (12x² +74x + 44) Square units.
Part B: A Second ( 2nd ) Degree Trinomial
Part C: Part A which is the multiplication of 6x + 4) units and (2x + 11) units to find the Area of a rectangle demonstrate closure property because it is the multiplication of two Binomials to give us a second degree Trinomial which is
(12x² +74x+ 44) Square units.
Step-by-step explanation:
Part A: What is the expression that represents the area of the rectangle?
The formula for the Area of a rectangle is given as Length × Breadth
We are told in the question that rectangle has sides of (6x + 4) units and (2x + 11) units
Therefore, Area of the rectangle is calculated as:
(6x + 4) units × (2x + 11) units
6x(2x +11) + 4(2x + 11)
12x² + 66x + 8x + 44
(12x² +74x+ 44) Square units.
Part B: What are the degree and classification of the expression obtained in Part A?
A polynomial can be defined as a mathematically expression that consists of one or more than one algebraic terms in it. One of the characteristics of a polynomial is the degree is carries. The degree of a polynomial can be defined as one of algebraic terms that carries the highest exponential values.
For example
4x⁴ + 2x³ + 5x² + 1 : The degree of this polynomial is 4 because the algebraic term with the highest exponential values is "4x⁴".
A polynomial can be classified into 3 types based on the number of terms that it contains.
a) A monomial : = 7x
b) A Binomial = 6x² + 4
c) A Trinomial = 3x³ + 2x + 1
Hence, for the above question, the degree and classification of the expression obtained in Part A which is
(12x² +74x + 44) Square units is that it is a second (2nd ) degree Trinomial. This is because it consists of 3 terms and the algebraic terms with the highest exponential values is 12x².
Part C: How does Part A demonstrate the closure property for polynomials?
Closure property for polynomials is one of the characteristics that a polynomial shows when it undergoes either Addition, Subtraction or Multiplication in other to give us another polynomial.
Therefore, in the question above,
Part A which is the multiplication of 6x + 4) units and (2x + 11) units to find the Area of a rectangle demonstrate closure property because it is the multiplication of two Binomials to give us a second degree Trinomial which is
(12x² +74x+ 44) Square units.