Helppppppp pleaseeeee

z²-2i=0

Answer:

Solution given:

z⁴=-4

doing square root on both side

[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]

we know i²=-1

substituting i² we get

z²=[tex]\sqrt{2²*i²}[/tex]

z²=2i

z²-2i=0 is a required answer. where

z² and 2 is real number.

Answer:

  z = {-1 -i, -1 +i, 1 -i, 1 +i}

Step-by-step explanation:

Using Euler's formula, we can write the equation as ...

  z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer

Then the 4th root is ...

  z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3

  z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3

  z = ±1 ±i

  z = {1 +i, -1 +i, -1 -i, 1 -i}

_____

Additional comment

Values of n are only needed in the range 0–3, because the answers repeat for values other than those.

Answer:

y = 2x - 5

Step-by-step explanation:

Answer:

=$32

Step-by-step explanation:

Principal Amount=$400

Rate=4%

Time=2 Years

Interest=?

           =RPT/100

           =4x400x2/100

          =$32

                        ....................................................................

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

There is no green marbles

So it will never occur(impossible event)

I have like 27 missing assignments

Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.

Answer:

20 sides ( Icosagon )

3240 is the interior angles sum

Step-by-step explanation:

360 ÷ 18 = 20

180 - 18 = 162

162*20 = 3240 is the interior angles sum

[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.

Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]

[tex]8-3 = 5[/tex]

[tex]9-3 = 6[/tex]

= [tex]\frac{5}{6}[/tex]

Hope this helps.

Answer:

3/4 is in it's simplest form

Step-by-step explanation:

3/4 cannot be simplified any more, so it is at it's simplest form

Answer:

maybe (-3,-4)?

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

Step-by-step explanation:

$103.23

$100

$45.34

+_____

=248.57

Answer:

592

Step-by-step explanation:

0.008(74,000)

592

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

Answer:

592

Step by step explanation:

0.8% = [tex]\frac{8}{1000}[/tex]

8 out of every 1000 trees are old

74 * 8 = 592

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

Answer:

C. Public colleges are cheaper for in-state residents.

Step-by-step explanation:

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

  y = -1/7x +20/7

Step-by-step explanation:

Solve for y.

  7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself

  y = -1/7x +20/7 . . . . divide both sides by the coefficient of x

In this form, you can see ...

Answer:

y=-1/7x+20/7

Step-by-step explanation:

So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).

They're pretty much just asking us to solve for y.

x+7y=20

7x=20-x (Subtract x from both sides)

y=20-x/7 (Divide 7 on both sides to isolate y)

y=20/7-1/7x

y=-1/7x+20/7

So..

m=-1/7

b=20/7

Hope this helps :)

Answer:

  1 in : 50 mi

Step-by-step explanation:

You can eliminate the choices that don't make any sense by comparing the given numbers to the offered choices:

  given:

  15 in : 750 mi

__

A. 1 in : 50 mi . . . . . . . . equivalent to dividing the given ratio numbers by 15

B. 15 in : 100 mi . . . . . . same inches, wrong miles

C. 1 in : 750 mi . . . . . . . wrong inches, same miles

D. 1 mi : 50 in . . . . . . . . both inches and miles are wrong (the ratio has the units swapped)

__

In the given ratio, the numerical number of miles (750) is 50 times the numerical number of inches (15). This is the ratio you're looking for among the answer choices. You need to pay attention to both the numerical values and their associated units.

Answer:

[tex]1\frac{1}{3}[/tex]  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  [tex]? = 1\frac{1}{3}[/tex]

Answer:

  -4/243

Step-by-step explanation:

Your calculator can do this.

You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...

  [tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

Answer:

D

Step-by-step explanation:

The line starts at 10 so I think it's that

Answer:

Slope of a line

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

Step-by-step explanation:

Khan Academy

Slope review | Algebra (article) | Khan Academy

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

ok I got you

it is 40

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Learn more about algebraic equations on:

https://brainly.com/question/10612698