answer.
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
Sunny_sXe [5.5K]
2 years ago
6

Which model represents the factors of 4x2 – 9?

Mathematics
2 answers:
mel-nik [20]2 years ago
7 0

Answer: Difference of squares model is used.

Step-by-step explanation:

Since we have given that

4x^2-9

We need to find the model which represents the factors of the above quadratic equation:

As we know that " a^2-b^2=(a+b)(a-b)"

So, our quadratic equation will become,

4x^2-9\\\\=(2x)^2-3^2\\\\=(2x+3)(2-3)

Hence, we will use "Difference of squares model "

Factors will be (2x-3) and (2x+3) .

GREYUIT [131]2 years ago
3 0
The factors of 4 x² - 9 :
4 x² - 9 = ( 2 x - 3 ) · ( 2 x + 3 )
We have to use the formula for the difference of squares:
a² - b² = ( a - b ) · ( a + b )
You might be interested in
Which fraction is equivalent to fraction with numerator 6 and denominator negative 8? fraction with numerator negative 8 and den
Rzqust [24]
Numerator is the the number above the line on a fraction, while the denominator is the number underneath the line. 

\frac{6}{-8} is similar to \frac{-6}{8}

Fraction with numerator -6 and denominator 8 
8 0
2 years ago
Read 2 more answers
The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar
Levart [38]
Let the side of  one square be x.    Area = x*x = x²

Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

Therefore  5x²  = 45   Divide both sides by 5
                  x²  =  45/5
                  x²  = 9        Take square root of both sides
                  x   =  √9
                  x  = 3

Length of larger square is 2x  = 2*3 = 6 cm
Length of larger square = 6cm
7 0
2 years ago
Read 2 more answers
Which is the correct classification of StartFraction 3 Over 8 EndFraction?
Sedaia [141]

Answer: the answer is rational number 0.375

Step-by-step explanation:

:D trust me it’s correct

3 0
2 years ago
Read 2 more answers
If Machine A makes a yo-yo every five minutes and Machine B takes ten minutes. How many hours would it take them to make 20yo−yo
olga nikolaevna [1]

Answer:

Time in minutes = 66 2/3

Time in hours = 1.11

Step-by-step explanation:

Problem:

Time taken by both machine to make 20  yo-yo

let the time taken be x minutes

Given

Time taken by machine A  to make 1 yo-yo = 5 mins

No. of yo-yo made by machine A in x minutes = x/5

Time taken by machine B  to make 1 yo-yo = 10 mins

No. of yo-yo made by machine B in x minutes = x/10

Total no. of yo-yo made by both the machine = x/5 + x/10 = (2*x+x)/10

Total no. of yo-yo made by both the machine = 3x/10

But given that together they made 20 yo -yo

Thus,

3x/10 = 20

=> x = 20*10/3 = 200/3

Thus, it took 66 2/3 minutes to make 20 yo-yo by both of them

In one hour there is 60 minutes

Time taken in Hours will be = 200/3*60 = 200/180 = 10/9 = 1 1/9= 1.11 hours

4 0
2 years ago
∠A and ∠C are right angles. m∠p = degrees.
almond37 [142]
M<P 59° is your answer
6 0
2 years ago
Read 2 more answers
Other questions:
  • In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?
    8·2 answers
  • Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
    10·1 answer
  • Solve for q. 22q+73 &gt; 52q + 63
    14·1 answer
  • Serena had 20 minutes of math homework on Monday, 35 minutes on Tuesday, and 25 minutes on Wednesday. She spent the same amount
    7·1 answer
  • An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to
    11·1 answer
  • The sundae bar at Sarah's favorite restaurant has 5 toppings. In how many ways can Sarah top her sundae if she is restricted to
    14·1 answer
  • According to the graph, what is the value of the constant in the equation below?
    12·1 answer
  • A hole is drilled in a sheet-metal component, and then a shaft is inserted through the hole. The shaft clearance is equal to dif
    5·1 answer
  • Select the correct answer. What is the range of ? A. (-∞, 1] B. [1, ∞) C. [6, ∞) D. (-∞, ∞)
    12·1 answer
  • Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!