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
uranmaximum [27]
2 years ago
5

(2x + y)2 – (3x – 2y)2 + (x – 4y)(x + 4y11​

Mathematics
1 answer:
Vinvika [58]2 years ago
8 0

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

You might be interested in
Help me on this to I'm begging u I'm so sorry I'm up so late but the school I'm in is wack ​
lianna [129]

Answer:

Answer below

Step-by-step explanation:

1. C 2

2. The temperature from 15°F to -6°F has changed by 21°F

5. C $37

I hope this helps

6 0
2 years ago
Jada's grandparents started a saving account in 2010 , the rable shows the amount in the account each year
Vaselesa [24]

Answer: we need the table to solve this

Step-by-step explanation:

3 0
1 year ago
A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the
Paraphin [41]
Hello there!

So, as we see here, we can see that they start out with 20,000 members. 25% of 20,000 would be 5,000 members.

So, every year, they lose 25% which is 5,000 members of they team. But then they gain 10,000 more.

So, practically, they get 5,000 every year even though they get 25% off.

5,000 would be the answer.
4 0
3 years ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
4.18 repeating as a fraction
olga_2 [115]

Answer: it’s 148 also i don’t know if you mean 4.18 as a fraction?

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Is 2.22 irrational or rational?
    14·2 answers
  • There were 490 people at play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $990
    6·2 answers
  • IN Mr. Prime's class, 9/10 of the students had done thier homework. Of these, 2/3 had all correct answers. WHat fraction of the
    11·1 answer
  • Solve for the following system of equations. -7x+6y=9 -2x-5y=16 x=? y=?
    7·2 answers
  • Carbohydrates should make up ___ of your diet.
    12·1 answer
  • Help me what is the answer
    8·2 answers
  • 2- 1/2 divided by 1 - 1/4
    15·1 answer
  • Please help asap easy question just very stuck and due
    7·1 answer
  • Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
    10·1 answer
  • Its an humble request to the moderators please see to the attachment
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!