Find w = a + bi = [tex]\sqrt{z}[/tex] where a and b are real numbers.
[tex]\sqrt{-7-24i}[/tex]

Find W = A + Bi = [tex]\sqrt{z}[/tex] Where A And B Are Real Numbers. [tex]\sqrt{-7-24i}[/tex]

Answers

Answer 1

The calculated values of w are w = -3 + 4i and w = 3 - 4i

How to calculate the value of w

From the question, we have the following parameters that can be used in our computation:

w = a + bi

Also, we have

[tex]\sqrt{-7 - 24i}[/tex]

This means that

[tex]a + bi = \sqrt{-7 - 24i}[/tex]

Square both sides

So, we have

(a + bi)² = -7 - 24i

Expand the exponent

a² + 2abi - b² = -7 - 24i

When both sides of the equation are compared, we have

a² - b² = -7

2ab = -24

When solved for a and b, we have

a = -3 and b = 4 or a = 3 and b = -4

Recall that

w = a + bi

So, we have

w = -3 + 4i and w = 3 - 4i

Hence, the values of w are w = -3 + 4i and w = 3 - 4i

Read more about complex numbers at

https://brainly.com/question/10662770

#SPJ1


Related Questions

please help if you can! :)

Answers

Answer:

B

Step-by-step explanation:

We have the function:

[tex]f(x)=x^2-5x[/tex]

And we are given that:

[tex]f(n)=-4[/tex]

And we want to find the value of n such that this is true.

So, let's substitute f(x) for -4 and x for n. This yields:

[tex]-4=n^2-5n[/tex]

Let's solve for n. First, add 4 to both sides:

[tex]n^2-5n+4=0[/tex]

This is a quadratic. We can solve by factoring:

[tex](n-1)(n-4)=0[/tex]

Zero Product Property:

[tex]n-1=0\text{ or } n-4=0[/tex]

Solve for n for each equation:

[tex]n=1\text{ or }n=4[/tex]

So, n can be either 1 or 4.

Our of our answer choices, the correct answer is B.

And we're done!

Write an equation to model the situation: A girl and another girl are baking
cookies. One bakes 5 more than 3 times as many cookies as the other.
Together they bake 150 cookies.

Answers

Answer:

3x + 5 = 150

Step-by-step explanation:

3x + 5 represents 3 times as many cookies plus 5 and 150 represents the total amount of cookies.

In further detail, x represents how many cookies the other girl baked.

the left and right page numbers of an open book are two consecutive integers whose sum is 593. find these page numbers ​

Answers

Answer:

296 and 297

Step-by-step explanation:

a+a+1=593

2a+1=593

2a=592

a=296

In one week there are 10,080 minutes. What is this number in scientific notation?​

Answers

Answer:

1.0080 x 10^4

Step-by-step explanation:

in scientific notation the number has to be less then 10

10080 / 10000 = 1.0080

1.0080 x 10^4

Numbers like 10,100,1,000,and so on are called?

Answers

Answer:

It is called the powers of 10.

Step-by-step explanation:

Reason being, 10 is multiplied to itself the exponent number of times.

What’s the median of


17,11,10,5,2

Answers

Answer:

the mean is 9

Step-by-step explanation:

What is the value of d?

Answers

Answer:

125°

Step-by-step explanation:

125° and d° are vertically opposite angles. Vertically opposite angles are equal

Pls, help I will give 50 points to anyone who answers!
(are the parallelograms below similar)

Answers

Answer:

No, not similar

Step-by-step explanation:

The are no parallelograms here

Given are two trapezoids

To be similar, the corresponding sides must have same ratio

Let's check

XW/RU = 4/2 XY/RS = 5/4 WZ/UT = 7/4

By checking ratios of 3 sides, we see they are different, therefore the trapezoids are not similar

Round 452 to the nearest ten.

Answers

Answer:450

Step-by-step explanation:i think 452 rounded to the nearest ten is 450 is because one you should look at the tens place then after you can tell is because 0-5 round down and any number higher like 5-9 you round up.

Answer:

450

Step-by-step explanation:

50 is the closest ten to 52.

Remember:

4 and under is rounded to the ten that's lesser than the other.

5 and up is rounded to the ten that's more than the other.

Example: Your number is 74. Because it's a 4 and under number, it would be rounded to 70.

Example 2: Your number is 47. Because it's a 5 and up number, it would be rounded to 50.

Hope this helps!

~Sakura Hitoroku

Whats steps do I need to make to solve the equation: How do I solve for a?

2B=ha-qa

Answers

Answer:

2B/( h-q)=a

Step-by-step explanation:

2B=ha-qa

Factor out an a

2B=a(h-q)

Divide each side by ( h-q)

2B/( h-q)=a(h-q)/( h-q)

2B/( h-q)=a

Answer:

a = [tex]\frac{2B}{h-q}[/tex]

Step-by-step explanation:

Given

2B = ha - qa ← factor out a from each term

2B = a(h - q) ← divide both sides by (h - q)

[tex]\frac{2B}{h-q}[/tex] = a

Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower measures 6 feet long and each tile is Two-thirds of a foot long, which equation shows how to determine the number of tiles that will fit in each row?​

Answers

Answer:

a

Step-by-step explanation:

just did the test

Answer:

Option A

Step-by-step explanation:

I took the test on Edge 2020 Fraction Multiplucation And Division

6(2 + 4) -1 divided by 2.3+1

Answers

Answer:

when 6(2+4) -1 divided by 2.3 + 1 the answer is 36.5652174

Yes I’m an idiot but I need help please

Answers

Answer:

[tex]d=10.8[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(6-(-3))^2+(-3-3)^2}[/tex]

[tex]d=\sqrt{(6+3)^2+(-6)^2}[/tex]

[tex]d=\sqrt{(9)^2+36}[/tex]

[tex]d=\sqrt{81+36}[/tex]

[tex]d=\sqrt{117}[/tex]

[tex]d=3\sqrt{13}[/tex]

[tex]d=10.8167[/tex]

[tex]d=10.8[/tex]

A man has a 100-acre ranch that he wishes to stock with cows and sheep. Cows require ten acres of grazing land per animal and sheep require three acres of grazing land per animal. If he wishes to fully utilize the land, how many ways are there to stock the ranch so that it includes at least one cow and at least one sheep?

Answers

Answer:

3 ways

Step-by-step explanation:

From the question:

Number of acres of the land = 100 acres

1 cow = 10 acres of land

1 sheep = 3 acres of land

To fully utilize the land, the number of ways to stock the ranch so that it includes at least one cow and at least one sheep is calculated as:

1) 1 cow and 30 sheep

1 cow × 10 acres + 30 sheep × 3 acres

10 + 90 = 100 acres

2) 4 cows and 20 sheep

4 cow × 10 acres + 20 sheep × 3 acres

40 + 60 = 100 acres

3) 7 cows and 10 sheep

7 cow × 10 acres + 10 sheep × 3 acres

70 + 30 = 100 acres

Therefore, to fully utilize the land, the number of ways to stock the ranch so that it includes at least one cow and at least one sheep is 3 ways

a/k=w+v/b solve for k

Answers

Answer:

w + v

------- (a)

b

Step-by-step explanation:

A lab technician draws

Answers

A lab technician draws a sample of blood.

What is V343 in simplest form?

Answers

Answer:

18.4 if it is in square root

Step-by-step explanation:

it may help you to understand.

What is the an-1 if the an=5?

Answers

Answer:

1

Step-by-step explanation:

Write an equivalent expression for 15z - 3z(12z - 9) + 8(2z2+ 7z - 14)

Answers

Answer:

−2⋅(10z  2 −49z+56)

Step-by-step explanation:

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t)=−4.9t2+21t+6. How long does it take to reach maximum height?

Answers

Answer:

we have to find the derivate of that function which is: -4.9*2t +21 and to find the maximum height this derivate should be equal to 0

-9.8t+21=0 so

t=21/9.8=2.14

What is an equation of the line that passes through the points (6, -5) and (3,0)?

Answers

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (6,-5) and (3,0) is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

[Using double point formula]

Now, Put all values,

[tex](y + 5) = \frac{0 + 5}{3 - 6} (x - 6)[/tex]

Simplify it to get equation.

[tex](y + 5) = - \frac{5}{3} (x - 6)[/tex]

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

[tex]3y + 15 = - 5x + 30[/tex]

[tex]5x + 3y + 15 - 30 = 0[/tex]

[tex]5x + 3y - 15 = 0[/tex]

Therefore the required equation is 5x + 3y - 15 = 0.

Hope it helps...

Answer:

y = -5/3x + 5

Step-by-step explanation:

The formula for the equation of a line is :

y - y1 = m (x-x1)

m is the gradient

finding the gradient

formula

[tex]\frac{y2-y1}{x2-x1} \\\\[/tex]

= (0--5)/ (3-6)

=5 / -3

gradient = - 5/3

inserting the values in formula for the equation of a line

y - y1 = m (x-x1)

y - -5 = -5/3 (x - 6 )

y + 5 = -5/3 x + 10

y = -5/3x + 10 - 5

y = -5/3x + 5

The graph below shows the number of chairs arranged with different numbers of tables in a room:

A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 4, 8, 12, 16, and 20. Points are shown on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12 and 4, 16. These points are connected by a line. The label on the x-axis is Number of Tables. The title on the y-axis is Number of Chairs.
What does the point (1, 4) on the graph represent? (1 point)

There are 4 chairs for every 1 table in the room.
There are 4 tables for every 1 chair in the room.
The ratio of chairs to tables in the room is 5:1.
The ratio of tables to chairs in the room is 5:1.

Answers

Answer:

third one

Step-by-step explanation:

Given the coordinates S(-3,6) and T(4, -8). Find the equation of the line that passes through the two points and write the equation in slope-intercept form. (y=mx + b)

Answers

Answer:

m=slope

y= intercept

m=y2-y1 /x2-x1     -8  - 6= -14

                              4- -3 =   7

                                        -14/7 a 2 is your slope

y=2x=b

Now we find for X

choose a y from one of your points :  lets use 6 Plug 6 in for y s(-3,6)

y=2x+b

6=2(-3) +b

now solve for b

6= -6 + b  

now add 6 to both sides to get b alone

6+6 =6+-6 +b

12=b

now write you equation out  y=2x =12

Step-by-step explanation:  

hope that helps

Find the measure of the angle indicated in bold​

Answers

Answer:

C

Step-by-step explanation:

i literally just tried each answer

But if the angle in bold equals C( for ex)

x+129 would equal 120, making x, -9

(-9 + 129)+(-9+69) does equal 180

[120] + [60]

C I know it is right pls make me the Brainlyies

In ΔDEF, d = 4.1 cm, ∠D=111° and ∠E=50°. Find the length of e, to the nearest 10th of a centimeter.

Answers

Answer:

3.4

Step-by-step explanation:

Answer:

e=\frac{4.1\sin 50}{\sin 111} \approx 3.364 \approx 3.4  e=  4.1sin50/sin 111 ≈3.364≈3.4

Step-by-step explanation:

deltamath

Simplify (-64)2/3.

Answers

Answer:

As a proper fraction. (numerator smaller than denominator): 2/3 = 2/3

As a decimal number: 2/3 ≈ 0.67.

As a percentage: 2/3 ≈ 66.67%

That's all I can provide

The value of the expression (-64)^(2/3) can be simplified as 16.

Given an expression (-64)^(2/3).

We have to find the value of the expression.

We have the rules of exponents that,

aᵇⁿ = (aᵇ)ⁿ

Using this rule, the expression can be written as,

(-64)^(2/3) = (-64²)^(1/3)

                 = (4096)^(1/3)

Now,

(a)^(1/3) is equal to ∛a.

(-64)^(2/3) = ∛4096

                 = 16

Hence the correct option is B.

Learn more about Exponents here :

https://brainly.com/question/5497425

#SPJ6

Suzanne wants to put a fence around her square garden. If the garden covers an area of 64 ft^2, how many feet of fencing does she need? Area = length x width and length =width

Answers

Answer:

32 feet of fence

Step-by-step explanation:

The garden is a square, so the length and width are equal.

A = L x W

W = L

A = W²

A = 64

W² = 64

W = √64 = ±8 -- (-8) would be extraneous

W = 8 ft

L = 8ft

Since she is putting the fence around the garden, she needs to find the perimeter.

P = 2L + 2W

P = 2(8) + 2(8)

P = 16 + 16

P = 32 ft

32 feet of fence

what is 0.818181818181818181 as a fraction

Answers

Answer:

8/9

Step-by-step explanation:

Solve |x| – 17 = 60
What is the correct answer

Answers

Answer:

x = 77,  x = -77

Step-by-step explanation:

|x| – 17 = 60

Add 17 to each side

|x| – 17+17 = 60+17

|x|  = 77

The absolute value equation has two solutions, one positive and one negative

x = 77,  x = -77

Answer:

x=77

Step-by-step explanation:

Hope this helps!!!!

Find the missing number.

42 over 90 equals to question mark over 15
A. 5
B. 9
C. 7
D. 6

Answers

Answer:The Answer Is C, 7 because when you divide 42 by 90 you get 7 over 15.

Step-by-step explanation:

Other Questions
What does the "pre" stage in the reading process involve?A. PlanningB. ReviewingC. Note-takingD. Highlighting What are some of the activities done on all saints day Create a comparison list where Canada provinces has differentrules in their compensation system in the same category. Explain inBri A object spins through an angular displacement of 10 radians and has an angular acceleration of 2.3 rad/sec-squared. Assuming it began spinning from rest, over what time interval did the acceleration occur? can you show how you got the answer? A firm's stock is selling for $71. The next annual dividend is expected to be $4.00. The growth rate is 11%. The flotation cost is $5. What is the cost of retained earnings?A) 14.48%B) 15.28%C) 16.63%D) 18.08% Which of the following is an example of a good thesis statement?1..puppy's cuteness is derived from its floppy ears, small body, and playfulness 2..Organ donors deserve money for their sacrifice.3..This paper will look at the advantages of school uniforms.4..Saving the whales should be a top priority Define "Sustainable Supply Chain Management" and discuss how a specific company uses it.Define the following terms AND give an example of each - a) Franchise b) Gross Margin c) Direct Marketing.Define "Customer Relationship Management and give an example how a specific company uses it.Each question MUST be with a minimum of 300 words. A piston cylinder system contains compressed 5 kg of liquid water with a pressure of 500 kPa and a temperature of 100oC (state A). Under constant pressure of 500 kPa, this H2O is heated to saturated liquid (state B), saturated mixture of liquid and vapor with a quality of 0.2 (state C), saturated mixture of liquid and vapor with a quality of 0.9 (state D), saturated vapor (state E) and superheated vapor with a temperature of 500oC (state F). (6a). (4p) Present this process in schematic Tv and Pv diagrams with each state clearly marked on them. (6b). (4p) Find the specific volume at state C. (6c). (4p) Find the total internal energy at state E. Why might violence be the only answer that 100th time? Two parallel paths 27m apart run east-west through the woods. Brooke jogs east on one path at 6 km/h, while Jamail walks west on the other path at 7 km/h. If they pass each other at time t=0 , how far apart are they 7 s later, and how fast is the distance between them changing at that moment? How would the marketing strategies differ by the (a) Delayed Full Nest 1 and (b) Empty Nest II stages of the Household Life Cycle (HLC) for purchasing a cell phone. (assume each stage is the target market) Here are the meanings of some of the symbols that appear in the statements below. means "is a subset of." C means "is a proper subset of." means "is not a subset of." is the empty set. For each statement, decide if it is true or false. Statement True False X {c, f, h, j, n} = {c, f, h, j, n} {2,4} C {1, 2, 3, 4, ...} {11, 13, 14, 16} C {p, q, r, s, t, u} {p, r, u} O O ? The assignment is related to the study of communicationmethods used by two company and provide your suggesions on it withexamples. The first step to pinpointing your ideal pricing strategy is to establish your pricing objectives. The strategy you choose can make or break your business, as the price of your product or service directly affects the revenue of your company. Therefore, it is critical to consider which one will best help you achieve your business goals. Some things to take into account when figuring out your pricing objectives are whether you want to maximize short or long term profits, achieve market stabilization, increase market share, etc.After you have arrived at your pricing objectives, you can begin pinpointing the pricing strategy that will best complement your product or service.Snowpeak Ski Resort offers a price for a lift ticket that is barely over its marginal cost, but the high equipment rental fee keeps generating big profits. What pricing strategy is being used by the management? price discrimination pricing in two parts bundles of goods cross-subsidization Compare and contrast important market considerations for your the USA market and India's market against those in the domestic market. Explain the similarities, differences, and considerations for conducting business between the two markets, such as general legal and regulatory requirements, monetary and management logistics, and mode-of-entry considerations Which of the following item(s) are fully tax deductible1. vacation expenses of a business owner2. principal paid back on a credit card used for business lunches3. Workers compensation premiums4. membership dues paid to the local chamber of commerce5. all of the above6. 1. 2. & 3.7. 3. & 4. is the amount of calcium that enters the cardiac myocytes from the extracellular space sufficient to induce contraction of the myofibrils? Rank the following from greatest to smallest in terms ofindustry asset size in 2019.I. BanksII. Savings institutionsIII. Credit unionsIV. Finance companiesMultiple ChoiceA. IV, I, II, IIIB. I, Sketch the following and then find the sum of the vertexangles.a. A hexagonb. An octagonc. A dodecagon.