Show that (1 + 2V3)2 = 13 +4V3

Show That (1 + 2V3)2 = 13 +4V3

Answers

Answer 1

Answer:

(1+2V3)^2=13+4V3

<=> 1 +4V3 +12 = 13+4V3

<=> 1 +12 = 13

<=> 13=13

sorry if i wrong :(


Related Questions

The regular price of a skateboard is $74.99.
Find the sale price when the skateboard is reduced by:
a) 30% b) 25% c) 60% d) 50%
Calculate each sale price, including taxes of 13%.

Answers

Answer:

a)$62.2417

b)$65.9912

c)$39.7447

d)$47.2437

Step-by-step explanation:

a)100%-30%=70%

70%+13%=83%

83/100x74.99=62.2417

b)100%-25%=75%

75%+13%=88%

88/100x74.99=65.9912

c)100%-60%=40%

40+13=53

53/100x74.99=39.7447

d)100%-50%=50%

50+13=63%

63/100X74.99=47.2437

Hope this helps! Thanks.

what is the value of p(x)=4x+15 ?

Answers

Answer:

The answer is 10x

Step-by-step explanation:

Determine whether the equation is a linear equation in two variables. 5y = x - 5​

Answers

Answer:

Yes

Step-by-step explanation:

start with 5y=x-5

divide both sides by 5 to get:

y= x/5 - 1

since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.

GUYS IS THIS CORRECT? CLASS 6 MATHS​

Answers

Answer:

yes these all are correct

please help need this done by tomorrow thank you [PHOTO]​

Answers

4x + 4° + 4x - 32° = 180°
8x - 28° = 180°
8x = 180° + 28°
8x = 208°
x = 26°

Which ordered pair is a solution of the equation?
7x – 2y = -5

Answers

Answer:the answer should be (1,5)

Step-by-step explanation:

A line passes through the point (2,8) and has a slope of 7

Answers

Answer:

y=7x-6

Step-by-step explanation:

Use point-slope equation.

y-y1=m(x-x1)

y-8=7(x-2)

y-8=7x-14

y=7x-6

Directions: Find the slope of the lines graphed below.
1.
2.

Answers

we know,

slope = y_2 - y_1/x_2 - x_1

1.

according to the graph given points are,

(2,1) and (0,3)

now,

3 - 1/0 - 2

2/-2

-1

therefore, slope of the given graph is -1.

2.

according to the graph given points are,

(-6,2) and (0,1)

now,

1 - (-6)/0-2

7/-2

-3.5

therefore, slope of the given graph is -3.5 OR in fraction form it is 7/-2.

3.

according to the graph given points are,

(2,2) and (0,4)

now,

4 - 2/0-2

2/-2

-1

therefore, slope of the given graph is -1.

hope this answer helps you dear...take care and may u have a great day ahead!

Which of the following is the graph of y=sqrd-x-3?

Answers

>> Answer

___________

[tex] \: [/tex]

y = [tex]\sqrt{-x - 3}[/tex]

graph in picture!

im stuck pls help me​

Answers

I think you’re right hope you get it and can I have branliest for trying

find the fractional form of sixty tow
seventh ​

Answers

sixty tow seven is not a number.

55+622-525-51×512

Simplification.​

Answers

Answer:

=–25960

Step by step explanation:

=677−525−(51)(512)

=152−(51)(512)

=152−26112

=−25960

Answer:

=–25960

Step by step explanation:

=677−525−51 512

=152−51 512

=152−26112

=25960

Hey<3 If you help you’re amazing if you don’t you’re awesome.

Answers

Answer:  576

============================================================

Check out the diagram below.

I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.

Block A = largest block on the leftBlock B = middle blockBlock C = smallest block on the right

So,

volume of block A = length*width*height = 6*6*8 = 288 ft^3volume of block B = length*width*height = 6*6*5 = 180 ft^3volume of block C = length*width*height = 6*6*3 = 108 ft^3

Therefore, the total volume we're working with is:

A+B+C = 288+180+108 = 576 cubic feet

The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.

A farmer has 15 boxes of eggs
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form
Total

Answers

A farmer has 15 boxes of eggs and there are 6 eggs in each box. Therefore it will be part to whole. The bigger number is always the whole. 6:15 is the ratio.

Which conversion factor would you use to convert from meters to feet? 0.3048 m 1 ft 0.3048 m 1.61 miles 1 km 1 in. 2.54 cm​

Answers

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

You have a square table and want to create a
tablecloth for it using a piece of fabric.
The side length of the table is 72 inches. How
much fabric do you need?

Answers

Based on the information given, the length of fabric that's needed will be 288 inches.

From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:

= 72 inches × 4

= 288 inches.

Therefore, the length of fabric that's needed will be 288 inches.

Read related link on:

https://brainly.com/question/24429956

if y=6 when x=40 find x when y=24

Answers

Answer:

160

Step-by-step explanation:

24/6=4

4 x 40 = 160

x is 160 when y is 24

Answer:

160

Step-by-step explanation:

Let x be... well x

24 ÷ 6 = 4

40 × 4 = 160

OR

40÷6 ≈6.66

6.6666666... × 24 = 160

Find the median of the data set.
2, 33, 23,37,45, 5,49, 27,48

A) 33
B)45
C)29.9
D)5

The answer that is in blue is mine but I’m not sure if it’s right

Answers

A) 33

To find the median we have to order the numbers lowest to highest and see what’s in the middle, so;
2, 5, 23, 27, [33], 37, 45, 48, 49

8+4 =17+5

identify and explain the error made by the leaner​

Answers

Answer:

let the value of x

Step-by-step explanation:

x=8+4=17+5

x=12=22x=22/12

x=1.8334

(a) I wanted to determine how much water my sprinkler was using, so I set out a bunch of empty cat food cans at various distances from the sprinkler and noted how high the water was in each can after one hour. My sprinkler reaches from 0 feet to 16 feet away from the sprinkler. The data are given in Table 1. The sprinkler distributes water in a circular pattern, so I assumed that points the same distance from the sprinkler received the same amounts of water. One way to use the data in Table 1 to estimate how many cubic feet of water my lawn got from my sprinkler in one hour is to write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.
(b) My neighbor decided to collect the same data for her watering. Her sprinkler reaches from 0 feet to 21 feet away from the sprinkler, but she did not set out the cans at evenly spaced distances and so the calculation is a bit more complicated. The data are given in Table 2.Use the data in Table 2 to estimate how many cubic feet of water her lawn got from her sprinkler in one hour. Again, write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum with subintervals of different lengths to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.

Answers

Answer:

a) 108 ft

Step-by-step explanation:

2pi (x*f(xi)........)*deltax

x is the point in the table

so for the first three points

2pi(2*f(2)+4*f(4)+6*f(6).....)*2

and so on for the rest

make sure you convert f(x) into feet, for example (2, 2.1) do 2.1/12

first point in equation

2pi(2*(2.1/12)+....)*2

David has one watermelon that weights 1867g. He splits it in half, and weights one half. That half weights 755g. How much does the other one weight?

Answers

Answer:

1112 grams

Step-by-step explanation:

1867-755=1112 g

Answer:

1112 grams.

Step-by-step explanation:

1867g - 755g = 1112 g

brainliest please. . . .

help me guys I need help ?​

Answers

Answer:

The answer is D. Hope this helps

The Answer is D- (-4,21/2)

Show that: [tex]\sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]

Brainliest! Brainliest..ans.

Answers

Here we need to Prove that ,

[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]

Lets start with LHS , which is ,

[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]

We know that ,

[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]

• So that ,

[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]

Hence ,

[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider LHS:

[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]

As we know that:

[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]

We get:

[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]

We can also write it as:

[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]

We know that:

[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]

We get:

[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]

[tex]\sf= x^{0}[/tex]

[tex]\sf=1[/tex]

[tex]\textsf{= RHS}\\[/tex]

Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​

Answers

Given :

A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {}

How do you write 3.866 x 10^15 in standard form?ASAP BRAINLIST ​

Answers

Answer:

3866000000000000

Step-by-step explanation:

you move the decimal 15 spaces to the right

The prize of a television was reduced from $250 to $200.
By, what percentage was the price of the telivision
reduced?
F 20%
G 25%
H 80%
J 50%

Answers

Answer: F 20%

Step-by-step explanation:

50 is 20% of 250

what is the answer to 12 divided by 51.6??? can i have an explanation to please if you guys don't mind??

Answers

Answer:

will u give the brainliest?

297,060 ÷ 0.0004839 =

Answers

Answer:

613,887,166.76999

Step-by-step explanation:

hshsididodj bdnd

dbdbjdjd

nsbbdbd

bdbbdhd

Answer:

[tex]297,060 ÷ 0.0004839 =613887166.77[/tex]

You deposit $9000 in an account that pays 5% interest compounded quarterly.

A. Find the value of one year

B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)

Answers

Step-by-step explanation:

Given:

Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4

A. Find the value of one year

[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]

B.  Use the future value formula for simple interest to determine the effective annual yield

[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%

Answer:

A)  $9458.51

B)  5.09%  (2 d.p.)

Step-by-step explanation:

Part A

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 year

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]

[tex]\implies \sf A=9000(1.0125)^4[/tex]

[tex]\implies \sf A=9458.508032...[/tex]

Therefore, the value of the account after 1 year is $9458.51.

Part B

Simple Interest Formula

A = P(1 + rt)

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

A = $9458.51P = $9000t = 1 year

Substitute the given values into the formula and solve for r:

[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]

[tex]\implies \sf 9458.51=9000(1+r)[/tex]

[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]

[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]

[tex]\implies \sf r=0.050945...[/tex]

[tex]\implies \sf r=5.0945... \%[/tex]

Therefore, the effective annual yield is 5.09% (2 d.p.).

What is the midpoint of CD?

Answers

Answer:

The endpoints of the line segment CD are:

$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$

We find the midpoint using th

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