20. If a+
[tex] \frac{1}{a} [/tex]
=
[tex] \sqrt{29} [/tex]
, find the values of 2a-
[tex] \frac{2}{a} [/tex]

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Given:

a + 1/a = [tex]\sqrt{29}[/tex]

Square both sides:

a² + 1/a² + 2 = 29a² + 1/a² = 27

Now, square the 2a - 2/a:

2(a - 1/a)² = 4(a² + 1/a² - 2) = 4(27 - 2) =                           Substitute 274*25

Find the square root:

[tex]\sqrt{4*25} = 10[/tex]

Related Questions

The table gives the temperature (in) in five cities at 6 am on the same day. Use the table to answer the questions

Answers

Answer:

a) 32

b) 6

Step-by-step explanation:

4. Bob spent $30 playing paintball which
included a $16 entry fee and $3.50 per hour of
play. How many hours did Bob play?

Answers

Answer: 4 hours

Step-by-step explanation:

First, set up an equation. We know that Bob spent $30 on playing paintball so we use that as our 'answer.' We need to find how many hours Bob played so we need to use x, a variable to find it. We also add 16 because we need to account for the entry fee.

3.50x + 16 = 30

Secondly, solve for x. Move 16 across the equal sign(=). Every time you move across the =, you're going to want to change the sign (if it's addition or subtraction). Since it was +16 and we're moving it, it's now -16.

3.50x = 30 - 16

Calculate 30 - 16 = 14.

Now we have

3.50 x = 14.

To calculate x, we're going to need to divide 3.50 from x. Since we multiplied by x we need to do the opposite across the =.

x = 14 / 3.50

x = 4

Bob spent 4 hours playing paintball.

You can plug it in to check answers as well

3.50 (4) +16 = 30

You spent ¼ of your money on lunch.After lunch you gave half of what you had left to the friend,then you spent $3 on a boon. You have $4¼ left. How much money did you have before lunch.


Please explain this. with answer​

Answers

Answer:

[tex]total \: you \: have \: = x \\after\: lunch \: you \: have \: = \frac{3x}{4} \\ a fter \: giving \: to \: friend = \frac{3x}{8} \\ after \: spending \: for \: boon = \frac{3x}{8} - 3 = 4 \frac{1}{4} \\ \frac{3x - 8 \times 3}{8} = \frac{17}{4} \\ \frac{3x - 24}{2} = 17 \\ 3x - 24 = 17 \times 2 \\ 3x - 24 = 34 \\ 3x = 34 + 24 \\ 3x = 58 \\ x = \frac{58}{3} \\ x = 19.33 \\ thank \: you[/tex]

Figure HNMLKEFG is the image of figure ABCDKLMN after being rotated 90 degrees counter-clockwise around point K. Draw an auxiliary line in figure ABCDKLMN to create a quadrilateral. Draw the image of the auxiliary line when rotated 90 degrees counter-clockwise around point K. Write a congruence statement for the quadrilateral you created in figure ABCDKLMN and the image of the quadrilateral in figure HNMLKEFG.

Answers

3halfs 3 charter 5 feet

x−2y=−1
y=5x−3
Choose the correct answer below.
A.
The two lines are perpendicular.
B.
The two lines are neither parallel nor perpendicular.
C.
The two lines are parallel.
D.
More information is needed.

Answers

b.

they're just intersecting.

Find the quotient. Your answer should be in simplest form.

What is 2 1/8 divided by 34

Answers

Answer:

1/16

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

To divide fractions we will need to make the 2 and 1/8 into a fraction. We can make it into 17/8 by multiplying 8 by 2 and adding 1. We can also say 34 is 34/1. We now can divide by multiplying by the reciprocal which is 1/34. So we get 17/8*1/34 = 1/16

PLSSSSS HELPPP P PP P P P WUICKKKKLYLLYLYLYLYYYYY PLSSSSS

Tammy made $177 for 9 hours of work.
At the same rate, how many hours would she have to work to make $133?

THIS SHOULD BE EASY!!!!!

Answers

Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.

The figure below is translated left 3 units. What are the coordinates of the image of
point A after this transformation?

Answers

Answer:

(-10, 2)

Step-by-step explanation:

Point A = (-7, 2)

Moving the point 3 units to the left is the same as subtracting 3 from the x coordinate:

(-7, 2) --> (-10,2)

-7 - 3 = -10

Compact discs are on sale for $13.00 including tax. How many can you buy with $84.00?

Answers

Answer:

You can buy 6

Step-by-step explanation:

You divide 84 by 13 and it will give u a decimal

hello!!!!! help me for points

Answers

I’m not sure how to do that but I just put something so I can get points

4/5×3/8= the aswer and thanks

Answers

Step-by-step explanation:

[tex] \frac{4}{5} \times \frac{3}{8} [/tex]

Reduce the numbers with the greatest common factor 4

[tex] \frac{1}{5} \times \frac{3}{2} [/tex]

Just multiply, To multiply the fractions , multiply the numerators and denominators separately

[tex] \frac{1 \times 3}{5 \times 2} [/tex]

[tex] \frac{3}{10} [/tex]

That's the answer 3/10 or 0.3

can someone help me with this pls

Answers

3x-16+6x+7=180
-9+9x=180
9x=180
x=21

11y-32=6(21)+7
11y-32=126+7
11y-32=133
11y=165
y=15

what is 8 times 67 can you find the answer

Answers

Answer:

eight times sixty seven is equal to five hundred thirty six

[tex]8 \times 67 = 536[/tex]

Answer:

536

Step-by-step explanation:

67

+67

-------

134

+67

-------

201

+67

-------

268

+67

-------

335

+67

-------

402

+67

-------

469

+67

-------

536 which is your answer. For multiplication all you have to do is add the number by its self how many ever times it says.

NEED HELP QUICK

What is slope, y-intercept and the equation of the line through the points (−3, −4) and (0, −1)?


Show your work and answer in the box below.




The slope is ... because ...


y-intercept is ... becuase ...


The slope-intercept form is...

Answers

Answer:

Step-by-step explanation:

slope= (y1-y2)/(x1-x2) = (-4--1)/(-3-0) = -3/-3 = 1

y-intercept = y1 = -4

y=mx+b = y=1x-4

hope this helps!

-r -10r heeeeeeeeeeeeeelllllppppp

Answers

Combine like terms:

-r-10r

We can always add variables as long as they are the same. So we can not add 10x+20y. That's impossible.

We can't add 3r^2+10r. That's also impossible.

However, we have the same variable, r. So we can add -r-10r. And the answer is:

-11r

Hope this helps! :)

Hey there!

-r - 10r

= -1r - 10r

COMBINE the LIKE TERMS

= (-1 - 10r)

= -11r

Therefore, your answer is: -11r

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

How are the two angles related?

Answers

The angles 60 degrees and 120 degrees are related by supplementary.

Supplementary angles:

Supplementary angles are angles that sum up to 180 degrees.

In other word, supplementary angles are two angles whose measures add up to 180° .

Therefore, the two angles 60 degrees and 120 degrees are related by supplementary angle. Mathematically

60° + 120° = 180°

learn more on angles here:https://brainly.com/question/3027144

subtracting decimals

subtract 10.04 from 11.678.

Answers

Answer:

The answer is 1.638

Step-by-step explantion:

11.678-10.04=1.638

So the answer is 1.638

Answer:

1.638

Step-by-step explanation:

11.678-10.04=1.638  

11.678

-10.040

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

1.638

100 Points and brainliest for correct answer !!

Image attached may not be needed its just there in case.

Here's the question that I need it for. I need to know the theorems because I DONT KNOW
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.

Answers

Same Question here answered by me correctly with proper explaination.

Visit the link below for your answer.

https://brainly.com/question/25015750?

When you toss a die while playing a game, you can get 1, 2, 3, 4, 5, or 6 on the top face. How many possible combinations of the top faces for the dice are there if:


a) you must toss 4 dice

b) you must toss n dice

Answers

Using the fundamental counting theorem, it is found that:

a) 1296 combinations are possible.

b) [tex]6^n[/tex] combinations are possible.

The fundamental counting theorem states that for n independents trials, each with [tex]n_1, n_2, n_n[/tex] ways of being done, the total number of combinations is:

[tex]T = n_1 \times n_2 \times ... \times n_n[/tex]

Item a:

Four independent dice throws, each with six outcomes, thus:

[tex]T = 6 \times 6 \times 6 \times 6 = 6^4 = 1296[/tex]

Item b:

n independent dice throws, each with six outcomes, thus:

[tex]T = 6^n[/tex]

A similar problem is given at https://brainly.com/question/24067651

can sum1 pls answer that and pls tell why u picked wtv answer u pick

Answers

Answer:

Lane 3 turtle.

Step-by-step explanation:

The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.

help (fraction) problem :(

Answers

Answer:

it's 8 4/6 because you have to make the denominator all 6 so you would have to mutiply the bottom and do the same for the top keep the whole number the same and then add it all up you'll get 8 4/6

3 1/6 that is your answer you're welcome.2 1/3=[(2*3)+1]/3=7/3

7/3+5/6=(7*2)/(3*2) + 5/6=(14+5)/6=19/6.You simplify and you get 3 1/6

The shoe shop is having a sale on sneakers. The original price for a pair of high top sneakers was $135.00. The sale price for the sneakers was $93.50. What is the percent decrease in the price of sneakers?

Answers

I believe it’s 30% and if to be near 30.75%

In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the sum of the first 7 terms​

Answers

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

1.) the length of a rectangular Garden is double of its breadth.if the area of Garden is 128m2.find the length and breadth

Answers

Area = Length X width

Let the width (breadth) = X

The length is double so it is 2x

Area = X * 2x = 2x^2

128 = 2x^2

Divide both sides by 2:

64 = x^2

take the square root of both sides:

x = 8

The breadth = 8 meters

The length = 16 meters

Estimate the quotient.
38) $2,764

Answers

Answer:

[tex]38 \sqrt{2764} \\ 76 \sqrt{691} \\ [/tex]

The constant of proportionality has the same value as the unit rate true or false?

Answers

Answer:

True they represent the same thing

True if the ratio is 1:7 let’s say the constant of proportionality would be 7 because to get to 1 to 7 we multiply 1 • 7 = 7, and the unit rate is the exact same thing

Solve: 70 x 103^3.

A 7,000
B 700,000
C 700
D 70,000

Answers

Answer:

D 70,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

simple if you know how to multiply cuz thats all you doing anyway.

anyways you Welcome.

Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 40 flowers. How many daisies should she plant?
A.
21 daisies
B.
8 daisies
C.
24 daisies
D.
38 daisies

Answers

Answer:

C.

24 daisies

Step-by-step explanation:

3 + 2 = 5
40 divided by 5 = 8
8 times 3 = 24
8 times 2 = 16
There are 24 daisies and 16 carnations. So the answer is C, 24 daisies.
Please mark brainliest if possible and have a nice day!

A group of 9 people are ordering pizza. Each person wants 3 slices and each pizza has 8 slices. How many pizzas should they order?

Answers

Answer:

its 4 pizzas

Step-by-step explanation:

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A group of 9 people are ordering pizza. Each person wants 3 slices and each pizza has 8 slices.

The total number of slices will be given as,

⇒ 9 x 3

⇒ 27

Then the number of pizzas will be given as,

⇒ 27 / 8

⇒ 3.375

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

All angles in the figure at the right are right angles what is the agree of the figure
F.14
G.18
H.28
I.36

Answers

Answer:

Ans: 36

Step-by-step explanation:

just separate it into three rectangles and use the formula

A=l*b

and at last add all of them

Other Questions
Distinguish between active transport and passive transport. John Adams was born and raised inwhich of the following locations?A. New York, New YorkB. Philadelphia, PennsylvaniaC. Quincy, MassachusettsD. Providence, Rhode Island Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (3, -1) Jim's piano lessons are 30 minuteslonger than Suzanne's clarinetlessons, Suzanne's clarinet lessonsare one-third the length of Pedro'sguitar lessons. If Pedro's guitarlessons are 60 minutes long, how longare Jim and Suzanne's lessons? Scarcity is the lack of availability What is (5,3) and (6,7) in point slope form could someone help me with this question including a full explanation? thank you have a great day. Which of the following occurs when the immune systemreacts to a foreign substance, such as an insect sting orfood, in the same way it would react to a pathogen?Aautoimmune diseaseBHIVC allergiesrheumatoid arthritisDrheumatoid arthritis Last one, thank you so much everyone who's helping A. What is the rate of change of this graph?B. What does the rate of change represent? Bi 2: Tm x bita, (x + 2)(x + 3) - (x - 2)(x + 5) = 6b, 3(2x - 1)(3x - 1) - (2x - 3)(9x - 1) = 0 Which of the following describes kinetic energy? a person spent 3/5 of vacation in new york state. while in new york state, the person spent 1/2 of that time in new york city. what fraction of vacation, the person spent in new york city ? if the vacation lasted 20 days how many days did the person spend in new york city? Which of the following best describes nativism during the 1800s Gip ik vi mik ang cn gp what happened to the empty can that force are acting on it At the beginning of the story, Elisa is decribed as a. a happy woman b. a very feminine woman c. a masculine and isolated woman d. none of the above What influenced Cubism.A. African Sculptures and MasksB. Buddhist SculpturesC. Spanish Sculptures HELP ME PLS!!!If a number is a whole number, then it is an integer.3 is a whole numberTherefore, 3 is an integerA. This conclusion was drawn using the law of detachmentB. This conclusion was drawn using the law of syllogismC. This conclusion was drawn using the law of contrapositiveD. An invalid conclusion was made -1 over 8 in decimal form