chứng minh rằng căn 3 là số vô tỉ

Answers

Answer 1

Answer:

Step-by-step explanation:

Ta có:

`sqrt{2}+sqrt{3}`

Ta có: `sqrt{3}` là số vô tỉ  

Ta có: `sqrt{2}` là số vô tỉ

`=> sqrt{2}+sqrt{3}`

là số vô tỉ

mình nghĩ vậy thôi


Related Questions

rewrite the equation in Ax+By=C form, use intergers for A, B, and C.

Answers

y-2x=8. i just finished learning this lesson and i’m almost sure this is correct. please let me know if proven otherwise!

Answer:

2x - y = - 8

Step-by-step explanation:

y - 4 = 2(x + 2) ← distribute

y - 4 = 2x + 4 ( subtract y from both sides )

- 4 = 2x - y + 4 ( subtract 4 from both sides )

- 8 = 2x - y , that is

2x - y = - 8 ← in standard form

with A = 2, B = - 1 and C = - 8

Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot

Answers

The length of the zipline is found using Pythagoras's theorem, which gives

the length of the hypotenuse side of a right triangle.

Length of the zipline is approximately 71.56 feet

Reasons:

Height at which the zipline will be tied to one of the trees = 42 feet

Height at which the zipline will be tied to the other tree = 3 feet

The distance between the trees = 60 feet

Required:

The length of the zipline

Solution:

The length of the zipline is found as follows;

Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)

The coordinates of the other tying point = (60, 3)

The in the imagined right triangle formed by the zipline and the distance

between the trees, the length of the zipline is given by Pythagoras theorem

as follows;

Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56

Length of the zipline ≈ 71.56 ft.

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John has $75 in his savings account. every week he deposits $7. which table represents the amount of money john has in his savings account after 5 weeks.

Answers

Answer: C

Step-by-step explanation: Depositing is the act of putting money inside the bank account usually to gain interest.

If John started with $75, you add his deposit ($7) which comes out to 82. Then add 82+7 which equals 89 and so on.

75+7= 82

82+7= 89

89+7= 96

96+7= 103

Answer: is the C

Step-by-step explanation:

bank account: 75$

1st week:75

2nd week:82

3rd week:89

4th week:96

5th week:103

1. find measure of A
2. find measure of B
3. find measure of C
4. find measure of D

solve and give explanations and pictures pls

Answers

Answer:

A.25×5×8=960

B.15×7×14=1610

C.5x39×8=1290

D.12×20×4=1124

Step-by-step explanation:

yan po hirap

Which graph represents the equation y = 3/4x – 3 ?


Answers

Answer:

You haven't shown the graph image but here is what the graph looks like if the equation is y=3/4x -3

Step-by-step explanation:

Answer:

0.75x-3

Step-by-step explanation:

Evaluate the expression for x = 8
x + 5

5
8
3
13

Answers

Answer:

1st one

Step-by-step explanation:

:) pls mark brainliest

One angle of a triange is 19 degrees, a second angle is 98 degrees. What is the measurement of the third angle?

Answers

Answer:

63°

Step-by-step explanation:

Angle sum property = 180°

=> 19 + 98 + x = 180

=> x = 180 - 117 = 63°

Answer:

63°

Step-by-step explanation:

Given,

Measurement of one angle of a triangle = 19°

Measurement of 2nd angle of the triangle = 98°

Let,

The third angle be = x

As we know,

Sum of all the angles of a triangle is 180°

Therefore,

By the problem,

=> 19° + 98° + x = 180°

(On shifting like terms to one side )

=> x = 180 - 98 - 19

(On subtracting)

=> x = 63

Hence,

The measurement of 5he third angle of the triangle is 63° (Ans)

Solve for m. 3/5m>−30
m>−50
m<−50
m>−18
m<−18

Answers

Step-by-step explanation:

you need to be careful when writing/copying the text.

I assume this one here is actually

(3/5)m > -30

then

3m > -150

m > -50

Answer: m > -50

Step-by-step explanation: Got correct on test

An online game site has two memership plans. The first plan gives you unlimited play for $40 a month. The second plan charges a monthly access fee of $4.25 plus $2.75 for each hour you play. After how many hours do the two plans cost the same?

Answers

Answer:

after 13 hours

Step-by-step explanation:

Since the monthly fee is $4.25

so

● $4.25 + ( 2.75 × Number of hours) = 40

● ( 2.75 × Number of hours) = $40 - $4.25

● 35.75/ 2.75 = 13

1.8.3 practice - functions

15. State the domain and range of each of the following functions
[tex]f(x) = \frac{1}{x + 3} [/tex]
[tex]g(x) = \sqrt{x + 6} [/tex]
[tex]h(x) = x {}^{2} + 2x + 5[/tex]

Answers

Answer its 5982

Step-by-step explana

identify the antecedent and consequent of each conditional statement if they had a guard dog then no one would trust pass on their property​

Answers

The antecedent is They had a guard dog and the consequent is No one would trust pass on their property.

The proposition given contains a conditional, whose form is [tex]p \implies q[/tex], representing a causal relationship, where:

(Antecedent) [tex]p:[/tex] They had a guard dog.

(Consequent) [tex]q:[/tex] No one would trust pass on their property.

Hence, the antecedent is They had a guard dog and the consequent is No one would trust pass on their property.

We kindly invite to check this question on propositions: https://brainly.com/question/18545645

help me asap. i’ve been stuck on this question for like two hours

Answers

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

Antonio buys a television worth $700 at a rent-to-own business. Because he doesn't have $700 on the day of purchase, he will pay $100 per
month for 12 months and will be able to take the television home immediately. How much will Antonio end up spending on the television after
his 12 payments?
OA. $100
OB. $500
OC. $700
OD. $1200

Answers

Answer:

$1200

Step-by-step explanation:

Since he's paying $100 on a 12 month plan, you do

100 * 12 = 1200

In total he's paying $1,200.

Answer: 1200

Step-by-step explanation: Hope this helps :)

Restaurant industry food and drink sales y (in billions of dollars) in a certain country from 2008 through 2017 can be approximated by the equation y= 3x² + 3.2x + 514,
where x is the number of years since 2008. Assume that this trend continues and predict the year in which the restaurant industry food and drink sales will be $1212
billion.
The year in which the restaurant industry food and drink sales will be $1212 billion is
(Round to the nearest whole number as needed.)

Answers

The given quadratic function for the restaurant sales indicates that the sale first reduces then increases.

The year at which the restaurant sale will be $1212 billion is approximately the year 2023.

Reasons:

The function for the sales in the restaurant is y = 3·x² + 3.2·x + 514

Where;

y = Sales in billions of dollars

x = Number of years since 2008

Required:

The year in which the restaurant industry food and drink sales will be $1212 billion.

Solution:

When the food and drink sale is $1212 billion, we have;

1212 = 3·x² + 3.2·x + 514

Which gives;

3·x² + 3.2·x + 514 - 1212 = 0

3·x² + 3.2·x - 698 = 0

Factorizing with a graphing calculator gives;

(x + 15.796)·(x - 14.729) = 0

x = -15.796, or x = 14.729

The time will have a natural number value, therefore the positive value of x

= 14.729 is used.

Therefore, the number years since 2008 at which the restaurant sales will

be $1212 billion is approximately 15 years.

The year at which the sales will be $1212 billion = 2008 + 15 = 2023

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A card is drawn from a deck of 52 playing cards. Given that it is a black card, what is the probability that it is the following? (Enter your probabilities as fractions.)
(a) a club

(b) a jack

Answers

The answer for this a b a jack

Perform the operations indicated choose the correct answer 14+29

Answers

Answer:

14+29=43

Step-by-step explanation:just add it

Whats the answer of this equation, Simplify the expression

3(x + y) + 5x + y

Answers

Answer:

8x + 4y

Step-by-step explanation:

3(x + y) + 5x + y

3x + 3y + 5x + y....... distribute 3 to both variables in the parenthesis

8x + 4y....................... combine like terms

Answer

8x+4y

Step-by-step explanation:

First you expand the 3(x+y) by multiplying 3 with x+y

So it becomes 3x+3y

Now your new expression will be 3x+3y+5x+y

After that, you combine the like terms, 3x and 5x are like terms, 3y and y are like terms.

So it will become 3x+5x+3y+y

You can add the like terms up, so 3x+5x=8x and 3y+y =4y

The simplified expression will be 8x+4y

Does anyone know this?

Answers

Answer:

all squares are quadrilaterala

Step-by-step explanation:

it has 4 sides and I just remember.

Answer:

All squares are quadrilaterals.

Step-by-step explanation:

Squares are defined as quadrilaterals with four right angles and four congruent sides.

Formen equipos de tres integrantes y realicen un proyecto en el que expresen mediante una ecuación lineal el tiempo que demoraran en reunir 10000 pesos para fundar la Sociedad Cultural Digital, si saben que los meses que tienen 31 dias sus padres donan un tercio de la cantidad total para el ahorro, mientras que en los de 30 dias logran ahorrar dos tercios de la cantidad final. En cuantos meses podrán reunir la cantidad deseada​

Answers

Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.

En este caso, debemos construir una ecuación lineal en forma implícita, es decir, una ecuación de la forma:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Donde:

[tex]a, b[/tex] - Coeficientes de proporción de ahorro.[tex]c[/tex] - Coeficiente de proporción total del ahorro.[tex]x[/tex] - Cantidad de meses de 31 días.[tex]y[/tex] - Cantidad de meses de 30 días.

Si sabemos que la solución consiste únicamente en números naturales y si [tex]a = \frac{1}{3}[/tex], [tex]b = \frac{2}{3}[/tex] y [tex]c = 1[/tex], entonces tenemos la única solución disponible:

[tex]\frac{1}{3}\cdot x + \frac{2}{3}\cdot y = 1[/tex]

[tex]x + 2\cdot y = 3[/tex]

[tex]2\cdot y = 3 - x[/tex]

[tex]y = \frac{3}{2}-\frac{1}{2}\cdot x[/tex]

[tex](x, y) = (1, 1)[/tex]

Los estudiantes recaudarán un total de $ 10000 pesos en un mes de 31 días y un mes de 30 días.

Invitamos cordialmente a ver esta pregunta sobre sistemas de ecuaciones:    https://brainly.com/question/12149981

PLEASE HELP! Economics

Answers

Answer: C. an increase in prices for domestically produced watermelons.

Mrs. Cho has 24 students in her class. Some of her students are also in the play.

Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.​

Answers

914 1404 393

Answer:

  24% of 24 is not a whole number

Step-by-step explanation:

24% of Mrs. Cho's students is ...

  0.24 × 24 = 5.76 . . . students

This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.


To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liquid oxygen are mixed together in the external tank. How much fuel is
stored in the external tank?
There are kilograms of fuel stored in the external tank.

Answers

Answer:

There are 719,115.8179kg of fuel stored in the external tank

Step-by-step explanation:

102619.377 + 616496.4409 = 719,115.8179

Can’t figure this out need help

Answers

Answer:

d

Step-by-step explanation:

range means y values so automatically a and b aren't right

there's no limits for y since it's linear, so it's D

that R sign basically means "all real numbers"

Linear or non linear?

Answers

Answer:

Linear

Step-by-step explanation:

This is linear because using the data you have provided we can work out that the equation is y= -5x+27

y= mx+ c (c is the gradient)

This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.

For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.

Hope this helps!

Question 3 Essay Worth 10 points)
(0104 MC)The elevation of city Als 60 feet above sea level the elevation of city is 12 teet above sea level The elevation of city Dis of the elevation of cty C
Part A: Write an expression to represent the elevation in feet of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
X
*
=
QS
BIUS XX
T:
99
Styles
Normal
F
- A- - ?
(C/100

Answers

Answer:

I tried but I couldn't figure it out sorry

Look at the image and please help out! I need an answer.

Answers

Answer:

4b<30

Step-by-step explanation:

product means multiply so 4•b or 4b

less than so<

Step-by-step explanation:

addition means the sum of 2 numbers

so.....b+4 <30

b <30-4

B <26

Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?​

Answers

Answer:

28000

Step-by-step explanation:

You multiply 4 and 700.

Answer:

525 students

Step-by-step explanation:

There will be 175 chaperones on the trip.

All you need to do is find 1/4 of 700 which is the number of chaperones.

Then subtract it by 700 to find the number of students.

I hope this helps!!

I need help because all the answer choices my teacher put were wrong so I dont know what to do ​

Answers

Answer:

Equivalent Expression:  [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]

Step-by-step explanation:

Given the exponential expression,  [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:

We could use the Quotient Rule of Exponents where it states that:

[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]

Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.

[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]

[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]

Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:

[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]

Applying the Negative Exponent Rule will result in the following exponential expression:

[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]

Therefore, the equivalent expression is:  [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].

Given that P(B|A)=0.86 and P(A)=0.43, what is P(B AND A)? Round to three decimal places.

Answers

Answer:

Step-by-step explanation:

P(B|A)=[P(A and B)]/[P(A)]

0.86=[P(A and B)]/0.43

P(A and B)=0.86×0.43=0.3698≈0.340

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If X, then not Y. If not Y, then Z. Y is true. So:

Answers

Answer:

Z and X is incorrect

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