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
zysi [14]
3 years ago
11

Factor 81z^4 - 16 Please answer asap

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

----------------------------------------------------------------

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

You might be interested in
Help again!!!!!!!!!!!!!!!
balandron [24]

Answer:

4.5:7.25

Step-by-step explanation:

she ran 7.25 miles so ig that would be it but im not 100% sure

7 0
3 years ago
PLEASE HELP ASAP!!!
Dimas [21]

Step-by-step explanation:

5x^2+2x=1

5x^2+2x-1=0

x=-b+/-√b^2-4ac÷2a

x=-2+/-√-2^2-(4×5×-1)÷2×5

x=-2+/+√4--20÷10

x=-2+/-√24÷10

x=-2+√24÷10 or -2-√24÷10

x=-2+4.9÷10 or -2-4.9÷10

x=2.9÷10 or -6.9÷10

x=0.29 or -0.69

4 0
3 years ago
Read 2 more answers
Answer number 7!!!! QUICK PLEASEE
soldier1979 [14.2K]

Answer:

Addition

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Andres boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rot
Gelneren [198K]

Answer:

a) r(t) = 0.783t radians

b) h(t) = 30cos(0.783*t) feet

Step-by-step explanation:

The situation is depicted in the picture attached

<h3>(see picture) </h3>

Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds

4.7 radians __________ 60 seconds

r(t) radians ____________  t seconds

\large \displaystyle\frac{4.7}{r(t)}=\displaystyle\frac{60}{t}\Rightarrow r(t)=(4.7/60)t \Rightarrow\\\\\boxed{r(t)=0.783t\;rad}

The height h(t) after t seconds is given by

h(t) = 30cos(r(t)) ===>

h(t) = 30cos(0.783*t) feet

7 0
3 years ago
For the diagram below, form an equation and then solve it to calculate the value of x
Talja [164]
You apply the sum of interior angles formula ie. (n-2)180. n=number of sides
since a pentagon has 5 sides it will be (5-2)180=540.
now add everything. x-5+x-6+2x-7+x+2x-2=540.
Solve for x: 7x-20=540
7x=540+20
7x=560
x=560/7
x=80
8 0
3 years ago
Other questions:
  • What is the missing side equal to?
    11·1 answer
  • 1. Suzette ran and biked for a total of 110 mi in 7 h. Her average running speed was 5 mph and her average biking speed was 20 m
    15·1 answer
  • PLEASE HELP?! I️ GOT TONS OF HW DUE TOMORROW MORNING! Translate 75% of 266 to an equation, and then solve.
    14·1 answer
  • it takes Kate 10 minutes to walk to the bus stop.How many seconds does it take her to walk to the bus stop
    5·2 answers
  • Andrew spends every Saturday at the gym working out. He can complete 1/12 of his workout in 1/6 of an hour. If he continues at t
    13·2 answers
  • What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.
    15·1 answer
  • Find the surface area of the rectangle:<br> 8 cm<br> 5 cm<br> 12 cm
    13·2 answers
  • Pls help due asap <br> thanks
    8·2 answers
  • Sin^2A+cos^2A=? .find the value. ​
    8·1 answer
  • The graph shows the amount of money paid when purchasing bags of candy at the zoo:
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!