Please Help

Can someone explain where the 4i to the square root of 3 came from?

Please HelpCan Someone Explain Where The 4i To The Square Root Of 3 Came From?

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

note that [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{64-112}[/tex]

= [tex]\sqrt{-48}[/tex]

= [tex]\sqrt{16(3)(-1)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 4 × [tex]\sqrt{3}[/tex] × i

= 4i[tex]\sqrt{3}[/tex]


Related Questions

What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axis and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 4 and 2, 7 and 3, 9 and 4, 10 and 5, 10 and 6, 12 and 7, 14 and 8, 15 and 9, 16 and 10, 18 and 11, 20 and 12, 22. A line labeled A joins ordered pair 0, 2.5 and 12.5, 22. A line labeled B joins ordered pairs 0, 3.5 and 14, 16. A line labeled C joins ordered pairs 0, 3.5 and 14, 11. A line labeled D joins ordered pairs 0, 4 and 14, 5.5. Line A Line B Line C Line D

Answers

Answer:

A

Step-by-step explanation:

Fifty students participated in a study investigating whether frequent texting is associated with frequent television viewing. The results are summarized in the two-way table below.



Which of the following describes whether frequent texting is associated with frequent television viewing?




Yes, because 2950 is much greater than 2135.


Yes, because 3550 is much greater than 1550.


No, because 2035 is approximately equal to 1535.

No, because 3550 is approximately equal to 2029.

Answers

Answer:

Step-by-step explanation:

A

Answer:

a

Step-by-step explanation:

Maggie and Elizabeth are both cleaning their rooms. It takes Elizabeth three times as long as Maggie to clean her room. If all together they spent six hours cleaning their rooms, how long did it take each girl

Answers

Answer: Maggie used 1 1/2 hours

Elizabeth used: 3 × 1 1/2 = 4 1/2 hours

Step-by-step explanation:

Let the time used by Maggie be x

Since it It takes Elizabeth three times as long as Maggie to clean her room. Elizabeth will use: = 3 × x = 3x

Therefore, x + 3x = 6

4x = 6

x = 6/4 = 1.5 hours

Maggie used 1 1/2 hours

Elizabeth used: 3 × 1 1/2 = 4 1/2 hours

aidez moi pour ce problème de maths s’il vous plaît, j’ai des difficultés

Un fleuriste possède 315 roses et 420 tulipes, ils souhaite réaliser des bouquets contenant le même nombre de rose et le même nombre de tulipes en utilisant toutes les fleurs.

Est-ce qu’il peut réaliser 15 bouquets?

Est-ce qu’il peut réaliser 21 bouquets?

Est-ce qu’il peut réaliser 30 bouquets?

Answers

Answer:

yes

Step-by-step explanation:

Answer:English pls

Step-by-step explanation:

Please help on 9 10 11❤️

Answers

10 is the third one hope I helped!

Solve for x in the following equation. 7x=-56

Answers

Answer:

Divide each term in  

7

x

=

56

by  

7

.

7

x

7

=

56

7

Cancel the common factor of  

7

.

Tap for more steps...

x

=

56

7

Divide  

56

by  

7

.

x

=

8

Step-by-step explanation:

Answer: x = -8

Step-by-step explanation: Divide both sides by 7,

x = 56

     7

-56 / 7 = -8.

SOLVE FOR X 3x +5 = x -10 A. -5/4 B. -5 C. -15/2 D. -15 OA B. D​

Answers

Hello!

[tex]\large\boxed{\text{C.} \frac{-15}{2}}[/tex]

3x + 5 = x - 10

Solve for x by isolating the variable.

Subtract 5 from both sides:

3x + 5 - 5 = x - 10 - 5

3x = x - 15

Subtract x from both sides:

3x - x = x - x - 15

2x = -15

Divide both sides by 2:

2x /2 = -15 / 2

x = -15/2.

Answer:

-15/12

Step-by-step explanation:

move the variables 3x-x+5=-10 and collect like terms 3x-5=-10-5 and divide both sides 2x=-15

x=-15/12

HOPE THIS HELPS

Find f(4).
f(x) = x2 + 2x - 3
A)
5
B)
11
13
D)
21
Elimina

Answers

Answer:D

Step-by-step explanation:

you plug 4 in for x

f(4)=4^2+2(4)-3

=16+8-3

=24-3

=21

write a ratio that is equivalent to 13:2 other than 13:2 itself

Answers

26:4
39:6
65:5
130: 10
91:14

Hope this helps :)

someone please help me !!

Answers

Answer:

y= -5

Step-by-step explanation:

What percent is 680 of 2300?​

Answers

Answer:

29.565217391304%

Step-by-step explanation:

thanks

hope it helps

can you help me with this problem​

Answers

Answer:

[tex]7 {x}^{6} {y}^{4} [/tex]

Step-by-step explanation:

to understand the solving stepsyou need to know about[tex] \sqrt{xy} < = > \sqrt{x} \sqrt{y} [/tex]PEMDAS[tex] \sqrt{ {x}^{y} } < = > {x}^{ \frac{1}{y} \times 2} [/tex]let's solve:

[tex] \sqrt{49 {x}^{12} {y}^{8} } [/tex]

[tex] \sqrt{ {7}^{2} } \sqrt{ {x}^{12} } \sqrt{ {y}^{8} } [/tex]

[tex]7 ^{ \frac{1}{2} \times 2 } \times {x}^{ \frac{1}{2} \times 12 } \times {y}^{ \frac{1}{2} \times 8 } [/tex]

[tex]7 {x}^{6} {y}^{4} [/tex]

Determine the approximate value of angle A.

Answers

Answer: The correct answer is 40 I got this question right.

Solve for x 2x+3=1x+-4

Answers

Answer:

x = -7

Step-by-step explanation:

2x + 3 = 1x + -4

-1x        -1x

1x + 3 = -4

    -3      -3

x = -7

What is 3x + 7x + 10


fastfastfastfasy

Answers

Answer:

10x +10 = 0

10x = -10

x = -1

Step-by-step explanation:

Answer:

10x+10

Step-by-step explanation:

If you simplify this expression, combine like terms, 3x and 7x, to get 10x, then add 10 into the expression.

3. Elise bought 5 boxes of cereal and 2 gallons of milk for a total cost of $31.24. Each box of cereal cost $4.80. Enter the cost, in dollars of 1 gallon of milk. Note: do not include the dollar sign, $, in your answer. *

Answers

Answer:

3.62

Step-by-step explanation:

Let

x = cost of cereal

y = cost of milk

5x + 2y = 31.24

x = $4.80

Substitute into the equation

5x + 2y = 31.24

5(4.80) + 2y = 31.24

24 + 2y = 31.24

2y = 31.24 - 24

2y = 7.24

y = 7.24 / 2

y = $3.62

Therefore,

1 gallon of milk cost $3.62

25 POINTS PLEASE HELP!

Answers

Step-by-step explanation:

I think this is it :

For the schones a) 16,16 is double 8 so whatever the ingredients double them!

So it will be: 400g flour

60g caster sugar.... And so on

B) 4 is half 8, so whatever the ingredients half them

Flour = 100g

Sugar = 15g..... And so on

C) 24 is three time 8, so all ingredients triple them

Flour= 600g

Sugar = 90g...and so on

D) 40 is five times 8 so all ingredients multiply by 5

Flour= 1,000 g

Sugar= 150g.... And so on

E) 80 is 10 times 8

So multiply by 10

Flour = 2,000g

Sugar = 300g... And so on

F) 2 is one by fourth of 8

So, flour = 50g

Sugar = 7.5g

For ice-cream:

A) 8 is double 4 so whatever ingredient double

Double cream= 600ml

Milk= 640ml and so on

B) 2 is half 4 so make ingredients half

Double cream = 150ml

Milk = 160ml

C) here because it's only one person

U will divide all the ingredients by 4

So double cream = 300/4 =75ml

Milk = 320/4 = 80ml

So on...

D) for 3 people we will use bit c

For 3 people = double cream= 75x3= 225

Milk = 80x3 = 240ml

And so on

E) so for(c), we found for one person now we can easily use that and find this

Now for 6 people

For person, as we saw, = 75ml

For 6 people double cream = 75x6= 450ml

And for milk for 1 person = 80ml

For 6 people = 80x6= 480ml

And so on

F) 10 people

Double cream = 75ml x 10 = 750ml

Milk = 80ml x 10 = 800ml

For fish pie,

A) 15 is three times 5 so we will multiply 5 to each ingredient

Cod= 1500g

Haddock = 1200g and so one

B) for 1 person we will also divide each ingredient by 5 = Cod = 500÷5 = 100g

Haddock = 400÷5 = 80g and so one

C) we will use bit b for this too

Cod = 100 x 2 = 200g

Haddock = 80g x 2 = 160g and so on

D) 4 people

Cod= 100g x 4 = 400g

Haddock = 80 x 4 = 320g and so on

E) 8 people

Cod = 100 x 8 = 800g

Haddock = 80 x 8 = 640g and so on

F) 11 people

Cod = 100 x 11 = 1100g

Haddock = 80 x 11 = 880g

And so on

I hoooope this helps

I finallyyyyy got it

£220 is invested at 3% pa simple work out the interest for 8 years.

Answers

Answer:

The answer is £52.8

Step-by-step explanation:

simplify (2 1/4 - 1 2/3) multiplied by 1 5/7​

Answers

It is 32/5 :Explanation: first (2 1/4 - 1 2/3) simplified is 15/4 then that multiplied by 1 5/7 is 6.4 and 6.4 as a fraction is 32/5 and you can’t simplify 32/5 because that’s its simplest form.

The required simplified expression is 1.

Simplify (2 1/4 - 1 2/3) multiplied by 1 5/7

To simplify this expression, we first convert the mixed numbers to improper fractions:

2 1/4 = 9/4

1 2/3 = 5/3

1 5/7 = 12/7

Now, we can multiply the fractions:

(9/4 - 5/3) * (12/7)

Finding a common denominator (12), we can simplify the expression:

(27/12 - 20/12) * (12/7)

Simplifying further:

(7/12) * (12/7) = 1

Therefore, the simplified expression is 1.

Learn more about simplification here:

https://brainly.com/question/17295259

#SPJ6

which one is bigger 0.375 or 0.3(3)?​

Answers

Answer:

0.3(3)

Step-by-step explanation:

0.3(3) = 0.9>0.375 so 0.3(3)

Answer:

Look at the tenths place (the first number after the decimal. The first number is a 3 and the other one is 2. 3>2. Therefore, 0.375 is bigger

Step-by-step explanation:

The equation 3x + 2 = 29 is modeled below.

Answers

Answer: 9

Step-by-step explanation:

3x = 29-2

3x = 27

x = 9

Answer:

9

Step-by-step explanation:

29-2=27

27÷3=9

Which of the following statements is true?
A The system has infinite solutions
OB. The solutions to the system are (0, 1) and (0, -3)
C The solution to the system is (-4,3)
OD The system has no solution

Answers

Answer:

The correct answer is Option C: The solution to the system is (-4,3)

Step-by-step explanation:

We can observe the graph to find the solution of the system.

There are three solutions to a system of equation

One solutionNo solutionInfinite many solutions

In the given graph we can see that the two lines are only intersecting at one point so the system of equations has only one solution.

Observing the graph, we can see that the intersection point is (-4,3)

Hence,

The correct answer is Option C: The solution to the system is (-4,3)

Express 64 1/2 in simplest radical form

Answers

Answer:\frac{129}{2}

Step-by-step explanation:

Which of the following is a living expense?
A) car payment
B) life Insurance
C) mortgage
D) clothes

Answers

I believe it’s clothes and mortgage

The living expenses are life insurance, mortgage and clothing. Thus option (B), (C) and (D) are correct.

What is living expenses?

The expenditure or the cost associated with maintaining a bare-bones standard of living and good health Along with housing, food, clothes, healthcare, and transportation, these are the basic human needs are referred to as Living Expenses.

The living expenses such as rent, mortgage payments, utilities, maintenance, food, clothing, insurance (life, health, and accident), taxes, installment payments, medical costs, support costs when the individual is legally responsible, and other miscellaneous costs are considered an individual's "ordinary and necessary living expenses."

Therefore, it can be concluded that living expenses and cost are  life insurance, mortgage and clothing. Thus option  (B), (C) and (D) are correct.

Learn more about  living expenses here:

https://brainly.com/question/16670343

#SPJ2

Pls Help Asap best answer Is brainliest :)

Answers

Answer:

1245?

Step-by-step explanation:

30% of $4,150

Answer:

4,150 / 30% = 13833.3333333

Step-by-step explanation:

I hoped this help

What is the domain of the function y=3x+2?

Answers

Answer:

Domain: ARN - Except 0

Step-by-step explanation:

ARN = All Real Numbers

ABCD is a rectangle with diagonals segment AC and segment BD. If AC = 2х + 10 and BD -=56, find the value of х." О23О33О 78 O 122​

Answers

Answer:

Step-by-step explanation:

The diagonals of a rectangle are equal.

2x + 10 = 56         That minus sign can't be there. Subtract 10 from both sides.

2x  = 56 - 10         Combine

2x = 46                 Divide by 2

x = 46/2

x = 23

PLEASE HELP WILL BE MARK BRAINLIEST!

Answers

The reflection over the x axis is (-3,-2) :)

PLS HELP! VERY IMPORTANT! I WILL GIVE BRAINLIEST! AND 20 POINTS! PLS HELP!!!

Answers

Answer:

1,50965

Step-by-step explanation:

PLEASE HELP xoxo The students at Christina's school voted for a new school color. 10 students voted for orange and the other 90 students voted for purple. What percentage of the students voted for orange?

Answers

Answer:

10%

Step-by-step explanation:

10+90= 100 students total

10 is 10% of 100

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