1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vitfil [10]
3 years ago
14

The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your w

ork to receive full credit. (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)
Mathematics
2 answers:
Nastasia [14]3 years ago
6 0
Given: The side of a square is (3x - 6) units.
Note that (a + b)² = a² + 2ab + b².

Part A
The area of the square is
A = (3x - 6)(3x - 6)
    = (3x)² + 2(3x)(-6) + (-6)²
    = 9x² - 36x + 36

Part B
The area is a 2nd-degree polynomial, or a quadratic function, or parabola.

Part C
A 2nd-degree polynomial is of the form
f(x) = ax² + bx¹ + cx⁰ = ax² + bx + c
where a,b,c are constants (coefficients of the polynomial).
The area obtained in Part A has the coefficients
a = 9, b = -36, c = 36.

The polynomial is closed because it is completely defined by multiply and addition operations.

Daniel [21]3 years ago
6 0

Answer:

Given: Side of the Square = ( 3x - 6 ) units

Part A).

Area of the Square = Side × Side = ( 3x - 6 )( 3x - 6 ) = ( 3x - 6 )²

                                = ( 3x )² + 6² - 2 × 3x × 6

                                = 9x² + 36 - 36x

Part B).

Degree of a polynomial is the height power of the polynomial.

Degree of the 9x² + 36 - 36x is 2.

Since Polynomial representing Area of the square has 3 terms and degree = 2.

So the Polynomial is a Trinomial polynomial and Quadratic polynomial.

Part C).

Closure Property of polynomial is always under multiplication means when two polynomials are multiplies then the resulting product is also a polynomial.

Here, Also two linear polynomial are multiplied and we get a quadratic polynomial.

You might be interested in
If someone could please explain to me how to do/work these out that would be great!
Ganezh [65]

Answer:

Place both coordinates for the first question on a graph and draw a line. The answer is the coordinate that falls on that line.

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP I CANT FIGURE THEM OUT
statuscvo [17]

Answer:they all equal 69

Step-by-step explanation:

6 0
3 years ago
I am really confused about this question for math.. any help would be really appreciated:
Elina [12.6K]

y= (\frac 1 4 )^x

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

y'= -y = - (\frac 1 4)^{x'}

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')

So

x'=x''/2, y'=y''/2

y''/2= - (\frac 1 4)^{x''/2}

y'' =  - 2((\frac 1 4)^{1/2})^{x''}

y''= - 2(\frac 1 2)^{x''}

We can rewrite that without the primes and combine the powers of 2.

y =  - 2^{1-x}

Let's graph these and see if we're close,

Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}

6 0
3 years ago
What is the ratio of 24 to 32
lubasha [3.4K]
It is 3 to 4
you find the GCF of 24 and 32 which is 8. then divide 24 and 32 by 8 to find the ratio
6 0
3 years ago
Read 2 more answers
A movie production company was interested in the relationship between the budget to make a movie and how well that movie was rec
fomenos

Answer:

i think it's C

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What’s the right answer?
    5·2 answers
  • Use the distributive property to rewrite each expression. -6(r-8)
    9·2 answers
  • Help someone <br> Work and correct = brainlist
    5·1 answer
  • SOMEONE PLEASE PLEASE HELP PLEASE WHATS THE CORRECT ANSWER
    15·1 answer
  • Middle School Math
    13·1 answer
  • Which ordered pairs make the equation true?
    5·1 answer
  • directions: solve each equation below and type your answer in the “answer” (next to the question) column. Type all in answers in
    8·1 answer
  • Lucy has scored 19 , 20 , and 29 points in her three basketball games so far. How many points does she need to score in her next
    15·1 answer
  • Ngths. Find Complete the fact Triangle. Write
    10·1 answer
  • 1. Find the area of the finite region enclosed by the curve y=2√x and the lines x=3 and x=0.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!