Find the length of side x in simplest radical form with a rational denominator. URGENT HELP 50 PTS


Find The Length Of Side X In Simplest Radical Form With A Rational Denominator. URGENT HELP 50 PTS

Answers

Answer 1

Answer: x = 2√3.

Step-by-step explanation:

[tex]x^{2} +6^{2} =(2x)^{2}\\\\x^{2} +36=4x^{2} \\\\4x^{2}-x^{2} -36=0\\\\3x^{2} -36=0\\\\3(x^{2} -12)=0\\\\x^{2} -12=0\\\\x^{2} =12\\\\x=\sqrt{12} =2\sqrt{3}[/tex]


Related Questions

The Wilson Student Government sold $ 126 worth of tickets for a talent show in 3 hours. How many tickets did they sell in one hour?

Answers

Answer:

Step-by-step explanation:

They sold $42 worth of tickets in one hour. Need more information to determine the number of tickets.

The Wilson Student Government sold $42 worth of tickets in one hour. Total amount of money earned from ticket sales = $126

Number of hours during which the tickets were sold = 3 hours

Step 1: Divide the total amount of money earned by the number of hours to find the average ticket sales per hour.

Tickets sold in one hour = Total amount of money / Number of hours

Tickets sold in one hour = $126 / 3

Step 2: Perform the division.

Tickets sold in one hour = $42

So, the Wilson Student Government sold $42 worth of tickets in one hour. This means that on average, they were making $42 per hour during the three-hour period of selling tickets for the talent show.

To know more about tickets:

https://brainly.com/question/23246243

#SPJ2

The sum of two numbers is 38. The larger number is 8 more than the smaller number, What are the numbers?
Larger number:
Smaller number.

Answers

Answer:

Larger number: 23

Smaller number. 15

Step-by-step explanation:

y = x - 8

x + y = 38

substitute for y:

x + x - 8 = 38

2x = 46

x = 23

y = 15

Answer:   Larger number:  23

Smaller number:  15

Step-by-step explanation:

let x be the smaller number, then the larger number would be x+8

x + (x + 8) = 38

2x + 8 = 38

2x  = 30

x = 15

larger number = x + 8 = 15 + 8 = 23

there are 40 students on a swim team.The coach needs to rent vans to take the team to a swimming competition.Each van can take 6 swimmers. how many vans will the coach need for 40 students.

Answers

Answer:

They will need 7 vans.

Answer:

The answer is 7 vans

Step-by-step explanation:

Divide 40/6

you get 6.6 so you just round up to 7.

The 7th bus will have less passengers but that is how many you will need for everyone to fit

Hope that helps

Pls help I gat no idea on what the answer is

Answers

Answer:

the answer is A

Step-by-step explanation:

hope it helped

Write a function in any form that would match the graph shown below.
PLEASE HELP

Answers

Answer:

f(x)=ax^3+bx^2+cx+d

it is a cubic function

Step-by-step explanation:

Yes that’s right absolutely

expand and simplify 5(2-1)+2(3x-6)

Answers

Answer:

6x-7

Step-by-step explanation:

Answer:

[tex]6x - 7[/tex]

Step-by-step explanation:

1) Simplify 2-1 to 1.

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

2) Simplify 5 × 1 to 5.

[tex]5 + 2(3x - 6)[/tex]

3) Expand by distributing terms

[tex]5 + 6x - 12[/tex]

4) Collect like terms.

[tex]6x + (5 - 12)[/tex]

5) Simplify.

[tex]6x - 7[/tex]

So, therefor, the answer is 6x - 7.

someone help please!

Answers

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )

Rewrite the following expression using exponents

1/16

Answers

Answer:

6.25 * 10^-2

Step-by-step explanation:

hmmmmmmmmm

4^-2 is the answer 4 exponent -2

What does it mean to reason mathematically?

Answers

uhhh giving evidence using mathematical equations/terminology
To be all about math basically

You respect math

You live and EAT MATH!!

RECREATION An instructor at a swimming pool asked her students if they would be interested in a n advanced swimming course, and 60% stated that they would. Is the sample method valid? If so, suppose there are 870 pool members. How many peoplecan theinstructorexpecttotakethecourse?

Answers

She can expect 522 people to take the advanced course.

HURRY HELP i need helppp

Answers

Answer:

that answe is b

Step-by-step explanation:

b because i took this test

I think it is b.........

The present age of the father and his son is 32 years and 7 years respectively.
7
Find how many years ago the product of their age was 116.
product of the present age of their ​

Answers

Answer:

ok so im so confused but like you know i tried and i got this:

X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.

(32 - x)(7 - x) = 116

(x - 32)(x - 7) = 116

x^2 - 39x + 224 = 116

x^2 - 39x + 108 = 0

(x - 3)(x - 36) = 0

x = 3, 36

But (32 - x) > 0, so x does not equal to 36.

x = 3

3 years ago, the father would be 29 years old, and the son 4 years old.

i know it sounds crazy but i think its wrong lol

A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.

A. Banana to grape
B. Strawberry to orange

Answers

Answer:

A. Banana to grape this should be right

please help with maths !

Answers

Answer:

4.91

Step-by-step explanation:

trying to find adjacent, you know the angle and hypotenuse, so use the CAH equation

cos(51) x 7.8 = 4.91 (3 s.f.)

Answer:

use Pythagoras theorem for this question because this is a right angled triangle

plz help this is so hard

Answers

1/3x7/8 is the answer give me a thank plz

Answer:

Johnny bought 3 boxes of pies. For each pie, he ate 7/8 of the pie. How much pie did Johnny eat?

The answer will be 2 5/8 or 21/8 pies

Step-by-step explanation:

Hope this Helped

Just a random question for points.

Would you rather get a 21/50 or a 23/33
Do the math and see where the decimals take you, then answer.

Answers

I would rather get a 23/33

Answer:

0.42

Explanation:

21/50= 0.42

22/33=0.667766,7

Therefore, 0.42 is the less equaled answer

Please give A 5.0 score and braniest!

Hopefully this helps!

an airplane takes off at an angle of elevation of 23 degrees when it has traveled 800 ft horizontally how many feet has it traveled

Answers

Answer:

Step-by-step explanation:

PLEASE FOR BRAINLIEST!! which statements describe one of the transformations performed on f(x)=x^2 to create g(x)=(x-2)^2+5? choose all that apply.

Answers

Answer:

A translation of 5 units up

and

A translation of 2 units to the right

Step-by-step explanation:

if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d ​

Answers

Given:

Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

To find:

The length of ad.

Solution:

If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

We know that,

[tex]ab=ad+db[/tex]

Length of the segment ab is 10 cm.

[tex]10=2x+3x[/tex]

[tex]10=5x[/tex]

Divide both sides by 5.

[tex]2=x[/tex]

Now,

[tex]ad=2x[/tex]

[tex]ad=2(2)[/tex]

[tex]ad=4[/tex]

Therefore, the length of segment ad is 4 centimetres.

A window in the shape of a parallelogram has the dimensions given.

What is the area of this window?




20 ft²

24 ft²

28 ft²

40 ft²


i'll give brainlyist

Answers

Answer:

The answer is c, 28 ft! brainliest pls lol

Answer:

20ft

Step-by-step explanation:

I did the quiz and got it right :> (K12)

Rearrange x=3g+2 to make g the subject

Answers

Step-by-step explanation:

Given

x = 3g + 2

Making g as a subject then

3g = x - 2

g = ( x - 2 ) / 3

Hope it will help :)❤

Answer:

g=(x-2)/3

Step-by-step explanation:

How can you determine the number of solutions of a system of linear equations by inspecting its equations?

Answers

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

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

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Find the degree of the monomial. -4/9​

Answers

Answer:

(=3+2) .

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) .

I agree with him/ her

The sum or three consecutive odd numbers is 51. Find the numbers​

Answers

Answer:

let the three no. be x, x+2, x+4

so, x+x+2+x+4= 51

3x+6= 51

3x=45

x=15

hence the required numbers are

x=15

x+2= 17

x+4=19

Find the missing length of the triangle 12 in and 35 in.

Answers

Answer:

37

Step-by-step explanation:

The answer is 37 I tried it and its right

XZW XYV find the perimeter of XZW?

PLS HELP

Answers

9514 1404 393

Answer:

  180 units

Step-by-step explanation:

The perimeter of ∆XYV is ...

  Pxyv = XY +YV +VX

  Pxyv = 29 +31 +40 = 100

The triangles are similar, so the scale factor from ∆XYV to ∆XZW applies to the perimeter. That scale factor is ...

  WX/VX = (32+40)/40 = 1.8

Then ...

  Pxzw = 1.8 × Pxyv = 1.8 × 100

  Pxzw = 180 . . . units

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

45m - 900 = 90m

Answer:

First box 45, second box 900, third box 90

Step-by-step explanation:

0.45 x 100 = 45

9 x 100 = 900

0.9 x 100 = 90

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Answers

Answer:

ok sure

Step-by-step explanation:

what is the product of (1.9*10^-3)(2*10^4)

Answers

Answer:

to solve use the distributive property and multiply

Step-by-step explanation:

I'm sorry I do not have the product

The product is 38.
Hope this helps! Have a great day!

Will give brainliest

Answers

the first option is the answer
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