Show
that (2+√3)(2-√3)(5+root2)
(5-root2) is rational number.​

Answers

Answer 1

Answer:

(2+3)(2−3)(5+2)(5−2)=>(22−(3)2)(52−(22))=>(4−3)(25−2)=>(1)(23)=>23

Answer 2
(2+√3)(2-√3)(5+ √2)
(5-√2)=(2^2-√3^2)(5^2-√2^2)=(4-3)(25-2)=23 and 23 is rational number

Related Questions

Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select all that apply.

Answers

Answer:

RM 4.05

Step-by-step explanation:

6mnts=70% of 500 is 350, so 150

1 year= 70% of 150 is 105, so 45

1 n half year = 70% of 45 is 31.5, so 13.5

2 years = 70% of 13.5 is 9.45, so Rm 4.05

BETTER ASK HER TO DONATE THE PHONE.....LOL

What is the inverse of the function f(x) = 2x
10?

Answers

Y=2x-10 (write the equation in terms of y)

X=2y-10 ( rearrange to make it equal to x instead of y)

2y=x+10 (rearrange to make 2y the subject then divide by 2 to get y on its own)

Y= 1/2x+5 so it can be written as h(x) 1/2x+5

Hope this helped

solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

1) x- y = 8

x + y = 12

eliminate one variable by adding the equations

2x = 20

divided by 2 on both sides

x = 10

substitute the value of x in the equation 1

10 - y = 8

-y = 8- 10

y =2

[x , y]

[10 , 2]

2) 2x - y = 4

3x + y = 6

eliminate one variable by adding the equations

5x = 10

x = 2

substitute the value of x in the equation

2(2) - y = 4

4 - y = 4

y = 0

[x ; y]

[2; 0]

3) x + 2y = 10

x + 4y = 14

multiply equation 1 by - 1

-x -2y = -10

x + 4y = 14

eliminate one variable by adding the equations

2 y = 4

y = 2

substitute the value of y in the equation 1

x + 2(2) = 10

x + 4 = 10

x = 6

[x ; y]

[6 ; 2]

4 ) 3x + y = 9

y = 3x + 6

simplify the expression

3x + y = 9

- 3x + y = 6

eliminate one variable by adding the equations

2y = 15

y = 15/2

substitute the value of y in equation 1

3x + 15/ 2 = 9

3x = 3/2

x = 1/2

[x ; y]

[1/2 ; 15/ 2]

5) 4x + 5y = 15

6x - 5y = 18

eliminate one variable by adding the equations

10 x = 33

× = 33/10

substitute the value of x in equation I

4 (33/10) + 5y = 15

66/5 + 5y =15

5y = 9/5

y = 9/25

[x ; y]

[33/10 ; 9/25]

6) 5x = 7y

x + 7y = 21

in equation I move the variable to the left

5x - 7y = 0

x + 7 y = 21

eliminate one variable by adding the equations

6x = 21

x = 7/2

substitute the value of x in the equation

5(7/2) = 7y

35/2 = 7y

5/2 = y

[x ; y ]

[7/2 ; 5/2 ]

What is the answer please help no links I will report

Answers

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

Convert 2,36hrs to hrs, minutes and seconds

Answers

The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.

Hope that helps!

The sum of two numbers is 56. One number is 3 times as large as the other. What are the numbers?

larger number

smaller number

Answers

42 and 14

explanation:

x+y = 56
x = 3y

Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56
x = 42
y = 4
42 + 14 = 56
56 = 56

x = 3y
x = 42
y = 14
42 = 3*14
42 = 42

So the two numbers, x and y, are 42 and 14.
42 and 14 because 14x3 is 42 and 14+42=56

How many solutions are there in the following system of equations? (
one solution, no solutions, infinitely many solutions)
- 8x + 2y = -16
4x - y = 10 PLEASW HELP

Answers

Answer:

No solutions

Step-by-step explanation:

-8x+2y = -16

   4x-y  = 10 [multiply by 2 so it is easier to add/subtract]

-8x+2y = -16

8x -2y = 20

        0 = 4

0 and 4 cant be equal so theres no solution

Julio has $1026 worth of $10 and $11 stock shares. The number of $11 shares is six more than twice the
number of $10 shares. How many of each does he have?
The number of $10 shares: |
Enter an integer or decimal number (more..
The number of $11 shares:
Submit Question

Answers

Step-by-step explanation:

just follow the answer good luck

HELP PLS ASAP I HAVE 6 MINUTES NO LINKS

Answers



you could say if you knew how many cubes there were in total, you could subtract them

Which point best approximates 45? A B В C D 0 1 2 3 4. 5 6 7. 8 9 Ο Α OB С OD​

Answers

Answer:

b or c???

Step-by-step explanation:

The point that best approximates √45 is C.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

√45

This can be written as,

= 6.7082

Now,

6.7082 is near 7 so,

The point that best approximates √45 is C.

Thus,

The point that best approximates √45 is C.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Find the volume of each figure. Round to the nearest hundredth if necessary.

Answers

Answer:

316.41 m³

Step-by-step explanation:

7.5x7.5x3.75=210.9375

3.75x3.75x7.5=105.46875

210.9375+105.4675=316.405

2cosθ−2=0
please type here and not put in a file

Answers

Answer:

Step-by-step explanation:

You want the  value of theta, I take it.  Add 2 to both sides

2cos(theta) = 2                            Divide by 2

2cos(theta)/2 = 2/2

cos(theta) = 1

So theta = 0 degrees.

So 0,360 .... n*360 is the general solution.


What is the volume, in cubic feet of the tent.

Answers

Answer:

96ft³

Step-by-step explanation:

Okay, so the formula for finding the volume of a triangular prism is base x height, so we first have to find the base:

6 x 4 ÷ 2 = 12

So then we plug our numbers into the formula:

12 x 8 = 96

So, the volume of the tent is 96ft³

hope this helps:)

quiz 8-2 trigonometry unit 8

Answers

Answer:

The results are presented below.

Question 1 - sin L = [tex]\frac{3}{5}[/tex]

Question 2 - tan N= [tex]\frac{4}{3}[/tex]

Question 3 - cos L = [tex]\frac{4}{5}[/tex]

Question 4 - sin N= [tex]\frac{4}{5}[/tex]

Question 5 - x=8.5

Question 6 - x=27.2

Step-by-step explanation:

For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.

Question 1

This question asks the sin L.  You can find this value from the trigonometric ratio of sin from given right triangle:

        [tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]

Question 2

This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:

        [tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]

The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.

       [tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]

There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.

      [tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]

Question 3

This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:

      [tex]cos L=\frac{adjacent}{hypotenuse}[/tex]

The adjacent side (ML) you found in the question 2. ML=8, therefore:

      [tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]

Question 4

This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:

      [tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]

Question 5

You can find x from the trigonometric ratio of cos :

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]

From calculator, you have cos 32° = 0.8480. Then,

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]

Question 6

You can find x from the trigonometric ratio of sin:

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]

From calculator, you have sin 54° = 0.8090. Then,

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]

Learn more about trigonometric ratio here:

brainly.com/question/11967894

Answer:

Step-by-step explanation:

Point A is located at (3,5) and point B is located at (-2 ,-2).find the distance between point A and B

Answers

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

D = 8.74 units .

Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet
per person, what is the maximum number of people that could attend this event?

Answers

Answer:675

Step-by-step explanation:

How many pieces are there on the rubix cube

Answers

27 can I get brain lest thanks man if you do



thanks

26 pieces

There are 26 pieces in total, and the cube has 8 corners and 6 centers.

How do I solve this? I need help

Answers

Answer:

d

Step-by-step explanation:

3. What is the axis of symmetry of the graph of function f(x)=x^2 - 6x - 1

Answers

Answer:

Hi! The answer to your question is [tex]X = 3[/tex]

Step-by-step explanation:

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

7 more than the quotient of a number is 2 and 9

Answers

Given:

Consider the given statement is "7 more than the quotient of a number and 9 is 2".

To find:

The value of the unknown number.

Solution:

Let be the unknown number.

Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]

7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]

It is given that, 7 more than the quotient of a number and 9 is 2.

[tex]\dfrac{x}{9}+7=2[/tex]

Multiply both sides by 9.

[tex]x+63=18[/tex]

[tex]x=18-63[/tex]

[tex]x=-45[/tex]

Therefore, the unknown number is -45.

Solve the equation:
[3 2
5 5]

[x1
x2]+
[1
2]=
[2
-3]

Answers

9514 1404 393

Answer:

  (x1, x2) = (3, -4)

Step-by-step explanation:

As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.

  [tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]

Performing the multiplication of the matrix by the vector gives the solution.

  x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3

  y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4

Using your variables, x1, x2, the solution is ...

  (x1, x2) = (3, -4)

Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)​

Answers

it’s on photomath ifyou have it

Answer:

nt cbhhujvti'

Step-by-step explanation:

Find the volume of the figure. Round to the nearest tenth if necessary.
3 yd
3 yd
10 yd

Answers

Answer: 90 yards

Step-by-step explanation:

10 by 3 by 3 is 90

Can someone please help me I will mark u brilliant

Answers

Answer:

I believe the answer is 1/12

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer:

[tex] \frac{1}{12} \: cubic \: foot[/tex]

Step-by-step explanation:

[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]

what is the value of 4/15÷2/3​

Answers

Answer:

2 /5

Step-by-step explanation:

What is the probability of the following
1. P (0< z < 1.46)?​

Answers

Answer:

Approximately [tex]0.428[/tex].

Step-by-step explanation:

(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)

A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)

However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.

Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].

Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].

On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.

Therefore:

[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].

Can someone help me with this ? it is relative frequency tables

Answers

Answer:

Step-by-step explanation:

36/78 = 0.46153,,,, nope.. not a choice

36/123 = 0.2926.... so the last answer looks good

Which graph represents y as a function of x?

Answers

Answer:

b

Step-by-step explanation:

show how you solved the problem

Answers

Where is the problem??? I can’t see it.
Where is the problem?

Question 7 of 10 What is the interquartile range (IQR) of the data set represented by this box plot? ਤੇ 61 B9 ਮ A. 37 E. 5 C 1​

Answers

Answer:

Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...

Step-by-step explanation:

Answer:

D. 22

Step-by-step explanation:

Your answer is correct sir :)

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