If a = 3+2✓2 then find the value of a^2+1/a^2
Pls answer first to answer get the brainliest crown
Pls answer ASAP​

Answers

Answer 1

Answer: 34

Step-by-step explanation:

[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]


Related Questions

Gabby recorded the number of points she scored in her first 7 Basketball games. Which box and wiskers is correct?

Answers

Answer:

There is no Image

So Instead

There should be the lowest extreme aka 0, and hights extreme (Whatever number is last) Then you've got average (The Middle) and n the middle of it is the median.

Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.

Answers

Answer:

X=2

Step-by-step explanation:

8-x=6

there the answer is 2

19. When the members of a high school club are
arranged in rows of 2, 3, or 4, there is one
person always left over. But when the club
members are arranged in rows of 5, no one is
left over. What is the least number of people
who could be in the club?
À 15 people
C 45 people
B 25 people D 85 people

Answers

9514 1404 393

Answer:

 B.  25 people

Step-by-step explanation:

The remainders tell you the number will be 1 more than some multiple of the least common multiple (LCM) of 2, 3, and 4. The LCM is 3·4 = 12, so we want some multiple (n) of that such that 12n+1 is a multiple of 5. We know this is the case for n=2.

The least number of people who could be in the club is 2·12+1 = 25.


Ken solved the linear equation 2(5y - 1) = 18 using the following steps.

Step 1: 2(5y - 1) = 18
Step 2: 10y - 1 = 18
Step 3: 10y = 19
Step 4: y = 1.9

Which statement is true about Ken's method?

A. Ken made a mistake between Steps 1 and 2.
B. Ken made a mistake between Steps 2 and 3.
C. Ken made a mistake between Steps 3 and 4
D. Ken solved the equation correctly.

Answers

Answer:

A

Step-by-step explanation:

in step 1, when expanding the bracket, ken needed to do 2×5y AS WELL as 2×-1 which they didn't do. the correct answer after the first step should be 10y-2=18

simplify each of the following.
[tex](2 \sqrt{3 + \sqrt{2)}{2} [/tex]

Answers

Answer:

[tex] \sqrt{2} + 2 \sqrt{3} [/tex]

Step-by-step explanation:

Simplify

[tex]2 \sqrt{3 } + \sqrt[2]{2} [/tex]

➡️ [tex] = \sqrt{2} + 2 \sqrt{3} [/tex] ✅

what is the smallest positive integer that can be doubled to get a perfect cube and tripled to get a perfect square

Answers

Its 1

Doubled:-

[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]

Tripled

[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]

9. ax + by = (a - b), bx - ay = (a + b)​

Answers

Answer: give me brainliest

Step-by-step explanation:

ax+by=a-b

ax=a-b-by

x=a-b-by/a←

bx-ay=a+b

substituting

b(a-b-by/a)-ay=a+b

ab-b²-b²y/a-ay=a+b

ab-b²-b²y-a²y/a=a+b

ab-b²-(b²+a²)y=a²+ab

-(b²+a²)y=a²+ab-ab+b²

(b²+a²)y=-(a²+b²)

y=-(a²+b²)/a²+b²

y=-1←

substituting value of y

x=a-b-b(-1)/a

x=a-b+b/a

x=a/a

x=1

Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)​

Answers

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

What is the probability of getting tails on two coins only (there are 3 coins by the way)

Answers

Answer:

1/2

please mark me brainliest

Find the missing angle.

Answers

Answer:

Your answer is K= 60

I hope it's helps you

Do you guys know this because I was trying to submit but it don’t let me I put 7/6 but it say I need different Way

Answers

Answer:

is 5

Step-by-step explanation:

Hope it is helful...

Answer:

5

Step-by-step explanation:

So first when dividing fractions you need to invert and multiply. Thus the fraction becomes:

1/4 * 20/1.

When simplified it becomes 20/4 which is 5.

HOPE THIS HELPED

What is the product of. I really need the now

Answers

Answer:

try photo math

Step-by-step explanation:

it may work for this problem

Candice recorded outdoor temperatures as -5°C, 2°C and 1°C. Which of the following correctly compares the three temperatures?​

Answers

Answer:

2°C

Step-by-step explanation:

outdoor temperature

HELPPPPPP!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

no need to panic !

it is actually totally easy.

we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.

VT is almost a straight line (then that angle would be 180 degrees). but only almost ...

anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.

so

(14x - 11) + (12x + 7) = 178

14x - 11 + 12x + 7 = 178

26x - 4 = 178

26x = 182

x = 7

Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.​

Answers

Answer:

The last one

Step-by-step explanation:

It doesn't make sense for that to be true

a number is multipilied by 6, and that the sum is equal to the product of 2 and 19. find the number

Answers

Answer:

[tex]take \: the \: number = x \\ thenx \times 6 = 2 \times 19 \\ \\ 6x = 38 \\ x = \frac{38}{6} \\ x = 6.33 \\ thank \: you[/tex]

Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct​

Answers

Answer:

Step-by-step explanation:

First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.

If x + 2k is a factor of that polynomial, then by the Zero Product Property

x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,

[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]

Answer:

the answer is in picture

Given: 40,905; 40,509; 40,095; and 40,059, the correct arrangement of these numbers from the least to the greatest value is:

40,905; 40,509; 40,095; and 40,059.
40,059; 40,095, 40,509; and 40,905.
40,059; 40,095; 40,905; and 40,509.
40,095; 40,059; 40,509; and 40,905.
40,509; 40,905; 40,095; and 40,059.

Answers

Answer:

Step-by-step explanation:

40905

40509

50095

40059

Is greatest to least. You want it to go the other way around.

40059

40095

40509

40905

The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.

In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________

Answers

Find the percentage of the people who like Chocolate = chocolate/ total x 100

Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)

A full circle is 360 degrees.

The central angle = percentage of chocolate x 360:

0.416666 x 360 = 150

The central angle for chocolate is 150 degrees

A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue? ​

Answers

Answer:

.75

Step-by-step explanation:

8 red marbles, 3 blue marbles, and 1 green marble = 12 marbles

P( not blue) = marbles that are not blue / total

                     =(8red+1 green) / 12

                     =9/12

                      = 3/4

                       .75

What is the quotient of 1/2 divided by 1/4 what is the quotient

Answers

Answer:

The quotient is 2

I don't think this needs solution

Answer:

the quotient is 2

Step-by-step explanation:

1/2÷1/4

1/2×4/1

=2

Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x

Answers

Answer:

-9x+20

Step-by-step explanation:

There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.

Answers

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00​

Answers

a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.

b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.

c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.

How is monthly payment calculated?

The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.

Data and Calculations:

Loan amount = $6,000

Maturity period = 5 years

Interest rate = 7%

N (# of periods) = 60 months (5 years x 12)

Results:  

Monthly Payment = $118.81 ($34.02 + $84.79)

Mortgage Payment = $7,128.60 ($118.81 x 60)

Total of 60 Mortgage Payments $7,128.60

Total Interest = $1,128.60 ($7,128.60 - $6,000)

Monthly Amortization Schedule (for the first 3 months)

 Date Beginning Balance   Interest    Principal        Ending

                                                         Repayment    Balance

1 3/2022       $6,000.00             $35.00     $83.81       $5,916.19

2 4/2022         $5,916.19               $34.51     $84.30      $5,831.90

3 5/2022        $5,831.90              $34.02     $84.79      $5,747.11

Learn more about calculating monthly payments at https://brainly.com/question/24576997

Answer:

The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.

So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.

A 5-year loan will have 60 monthly payments since 5 × 12 = 60.

Multiply the monthly payment by 60 months to get the total amount paid on the loan:

$118.80 × 60 = $7,128.

To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:

$7,128 − $6,000 = $1,128.

Step-by-step explanation:

whats 40 euros to usd?

Answers

Answer:

47.06 United States Dollar

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

47.6 US Dollars

Hope it helpsThanks.

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).

Answers

f(x) = 3x - 1

Step-by-step explanation:

[tex]y - 5 = 3(x - 2) \\ y - 5 = 3x - 6 \\ y = 3x - 6 + 5 \\ y = 3x - 1[/tex]

In the number 6.253
(a) What is the place value of 2 ...................................................................
(b) What is the value represented by 5 ...................................................................

Answers

Answer:

place value of 2 is 100

Step-by-step explanation:

please brainleist my answer

Answer:

The place value of 2 in 6.253 is 200

Step-by-step explanation:

Place value of 2 is occurring in hundreds


0.2 kg
2m
9.8g
Pls help quick

Answers

I think it’s 9.8g for the answer

Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone?

how many months?

Answers

599.40 divided by 33.30 equals 18.To check your answer you multiple 33.30 times 18 and it equals to 599.40

I need help on this problem

36-12x/6

Answers

Hope it helps! If it is, Brainliest please!
Other Questions
Write -0.450 as a fraction in simplest form. Michael cut away 3.01 meters of rope.Before that he had 6 meters of rope.How much rope does Michael have left A graduated cylinder is filled with 20ml of water. A rock is dropped in to the graduated cyclinder and the volume of water rises to 30mlinside the graduated cylinder. The mass of the rock is 23g. What is the density of the rock?2.3g/ml0.77g/ml5g/ml1.15g/ml A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle The three-year or longer marketing plan that's more general and less detailed than a tactical plan is called _____. strategic marketing tactic strategic marketing plan marketing plan executive summary Compare and order the numbers below from least to greatest.4.6, 2.8, V7, V17, Find all points on the curve x^2y^2+xy=2 where the slope of the tangent line is 1 Y'ALL PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!Complete the two-column proof below. The reasons are already given, so only the mathematical statements need to be completed.Show how you got your answers I can see if it makes sense!!! Eating disorders are caused by all of the following factors EXCEPT:A psychological factorsBgonotic factorsCeconomic classD. financial factors what was the most important reason that prevented people from understanding the internal structure in ancient and medieval times ? Need help ASAP PLEASE!!! What happened in the ww1 Write an epilogue to " The Cask of Amontillado" in which a case against Montresor comes to trial. In your epilogue, provide the prosecuting attorneys closing argument, reminding the jury of any evidence that proves Montresors guilt. Then provide the defense attorneys closing argument and describe the jurys final verdict.Assignment Requirements:Your submission must: include a minimum of 400 words, written in paragraph form. be written in the third-person point of view (academic voice). You may write in the first-person point of view if you want to pretend you are Montresor.be double spaced. A title page, running head, and abstract are not required. how do you take care of a culture 3. Tom cannot cook because he feels very tired today=> If __4. Fuho was so timid in love, so he lost her=> If __5. He got fired because he was too lazy.=> If __ The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places. Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did hemake in July if he sold 12 cars? In August he made $6500, how many cars did he sell? 1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one lessthan the integer. Find the integer algebraically using rational expressions. Solve UW. how do I get the answer? what are the 5 importance of social faith?