simionriley4191
04.03.2021 •
Mathematics
hey I need help with this problem it's about the volume of a rectangular pyramid and u dont get it can you help me.
Solved
Show answers
More tips
- D Dating, Love, Relationships Why Should the Man be Active and the Woman Passive during Foreplay?...
- F Food and Cooking How to Properly Collect Mushrooms? A Comprehensive Guide...
- C Computers and Internet 3D Glasses! What is this thing?...
- C Computers and Internet How to insert videos into LiveJournal?...
- C Computers and Internet How Much Does an iPhone Cost in America?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
Answers on questions: Mathematics
- M Mathematics What expression represents the phase, half the sum of 10 and a number?...
- M Mathematics Fbc and cbg are supplements, dbg and dbf are supplements, and cbg dbf. by the congruent supplements theorem, what can you conclude?...
- M Mathematics 8strawberries 5 bananas 3 oranges strawberries to bananas and oranges...
- M Mathematics The volume of a drop of a certain liquid 0.000047 liter write the volume of the drop of liquid in scientific notation...
- M Mathematics The perimeter of a rectangle is 38 m. the length is 4 m more than two times the width. find the length and the width of the rectangle...
- M Mathematics What s the distance between point g at -12 and point h at -1...
- M Mathematics How do i plot this? (the full graph is not shown)...
- M Mathematics The price of a mountain bike is decreased from $150 to 120. by what percent is the price decreased?...
- M Mathematics Ataxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. the rule c = 0.20m + 2.00 describes the relationship...
- M Mathematics Iput 75 jelly beans in a bowl. each day i eat 6 jelly beans. how many jelly beans are in the bowl after 9 days...
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.