cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

Answer 1

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i


Related Questions

A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.

Answers

Let b = number of bracelets and n = number of necklaces

6b + 16n = 178 Weight of gold
n = b + 7 More necklaces than bracelets

Answer:

6b+16n=178

n=b+7

Step-by-step explanation:

Let b=the number of bracelets made

Let n=the number of necklaces made

System of Equations:

6b+16n=178

n=b+7

ahhh help its PLATO
'la

Answers

Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

What is another name for the line GI in the image below?

Answers

Answer:

Line m

Step-by-step explanation:

The line is labeled with an m.

If X = 13 units, Y = 15 units, and h = 11 units, what is the area of the parallelogram shown above?

Answers

Answer:

the area of the parallelogram = base times the height

For the given parallelogram :

x = 8 units, y = 13 units, and h = 11 units

1) If x is the perpendicular to h

So, the base = 8 and the height = 11

So, the area = 8 * 11 = 88 square units

2) If y is the perpendicular to h

So, the base = 13 and the height = 11

So, the area = 13 * 11 = 143 square units

Step-by-step explanation:

PLEASE please help me! this is due tonight. thank you

explaining your answer = brainliest/ five stars

the perimeter of this square is 48 cm. c = ___ cm

Answers

Answer:

c = 12

Step-by-step explanation:

If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12

Brainliest pls

A bike trail is 5 25 miles long. Rosie rides her bicycle on the bike trail 6 days a week. How many miles does Rosie ride per week? Choices are A. 30 2/5 miles B. 30 4/5 miles C. 32 2/5 miles D. 32 4/5 miles Thanks <3

Answers

C, 32 2/5 that’s what I get

Select the FOUR equations that are equivalent to 2(x+3)−2=16.

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

D x+3=9x plus 3 is equal to 9

E 2x=122 x is equal to 12

F 2x=15

Answers

Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

4x + 5 = 3x + 4??????????

Answers

4x + 5 = 3x +4

4x - 3x = 4-5

x = -1

value of x is equal to -1

Answer:

x = -1

Step-by-step explanation:

4x + 5 = 3x +4 (subtract 3x from both sides)

-3x        -3x

=1x         =0

rewrite: x + 5 = 4 (subtract 5 from both sides)

                  -5  -5

                  =0  =-1

Therefore x = -1 (Please mark brainliest hope i helped :)

Sally is three times as old as Sam. The sum of their ages is 84. How old is Sally?

Answers

Answer:

Sally is 63

Step-by-step explanation:

Represent Sally's age by x and Sam's by  y.

Then x = 3y and x + y = 84.

Substituting 3y for x in the second equation, we get:

3y + y = 84, or 4y = 84, or y = 21.  Since Sally is 3 times as old as Sam, we multiply 21 by 3:  Sally's age is 3(21 years) = 63 years

Pls only help if you know the correct answer! Thanks! :)

Answers

Answer:

Line C.

Step-by-step explanation:

Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.

p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, how much did he gain after 3 years ? Find it.​

Answers

Answer:

P earned $ 718.85.

Step-by-step explanation:

Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:

16,000 x 0.12 x 3 = X

1,920 x 3 = X

5,760 = X

16,000 x (1 + 0.12 / 1) ^ 3 = X

16,000 x 1.12 ^ 3 = X

16,000 x 1.404928 = X

22,478.85 = X

22,478.85 - 16,000 = 6,478.85

6,478.85 - 5,760 = X

718.85 = X

Therefore, P earned $ 718.85.

Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9

Answers

Answer:

[tex]n=9[/tex]

Step-by-step explanation:

[tex]3n-18=9[/tex]

[tex]3n+18=[/tex] +18

[tex]3n=27[/tex]

[tex]3(9)=27[/tex]

[tex]n=9[/tex]

Question 6
1 pts
If there are initially 12,000 bacteria in a culture, and the number of bacteria double
each hour, the number of bacteria after t hours can be found using the formula
N = 12,000 (24). How many bacteria will be present after 7 hours?
O 1,536.000
O 768,000
168,000
384.000
Previous
Next >

Answers

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

trust

b One of these numbers is the area of the outside curved surface of the cylinder, in cm', using
= 3. Which one?
A 15 B 30 C 1000 D 1500 E 3000

Answers

Answer:

B

[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]

o(d)'?
Which expression is equivalent to

Answers

Answer:

2nd Option:

[tex] \frac{1}{ {a}^{42} } [/tex]

Step-by-step explanation:

[tex] {( {r}^{ - 7}) }^{6} [/tex]

Since,

[tex] {( {a}^{x}) }^{y} = {a}^{xy} [/tex]

Then,

[tex] = {r}^{ (- 7 \times 6)} = {r}^{ - 42} [/tex]

Since,

[tex] {a}^{ - 1} = \frac{1}{a} [/tex]

Then,

[tex] = {r}^{ - 42} = \frac{1}{ {r}^{42} } [/tex]

Therefore,

2nd Option is correct.

At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?

Answers

Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?

Answers

Answer:

S = 62.5%

Step-by-step explanation:

Let the junior members be J.Let the senior members be S.

Given the following data;

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

[tex] S = \frac {5}{8} * 100 [/tex]

[tex] S = \frac {500}{8} [/tex]

S = 62.5%

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

answer this one for me thanks ppppp

Answers

Answer:

16.6 units

Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to help us solve this problem: [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides

It's safe to assume that x is the longest side in this triangle, making it the c value. Plug 14 and 9 into the equation as a and b and solve for x:

[tex]14^2+9^2=x^2\\196+81=x^2\\277=x^2\\x=16.6[/tex]

Therefore, the value of x is 16.6 units when rounded to the nearest tenth.

I hope this helps!

Which expression is equivalent to StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue?

Answers

Answer:

15

Step-by-step explanation:

Given :

StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue

THE ABSOLUTE value of any given number is the positive equivalent of that number ; hence ;

|8| = 8 ;

|-7| = 7

Hence,

|8| + |-7| = 8 + 7 = 15

Answer:

15

Step-by-step explanation:

Kevin's class just held a class election. 75% of the 28 students in the class voted. How many students voted?
THANKS, IM DESPERATE

Answers

Answer:

21

Step-by-step explanation:

75÷100×28=21

if its correct please mark as brainliest answer

Factor the following expression.
12x2 + 22x + 8

Answers

Answer:

The answer is 2(23x+4).

maybe - 2(2x+1) (3x+4)

The following is a parallelogram solve for the variables

Answers

X = 66 degrees. (Co interior angles are supplementary, add up to 180)

2y + 4 = y + 7
2y - y = 7 - 4
Y = 3

PLEASE HELP ME!!! I NEED THIS TO BE CORRECT THANK YOU

EXPLAIN UR ANSWER = BRAINLIEST


A trapezoid with an area of 54 cm² is dilated by a factor of 2/3.

The area of the dilated trapezoid is ___ square centimeters.

(this is just a word question!)

Answers

Answer:

The area of the image is equal to the area of the pre-image multiplied by the scale factor.

The area of the dilated trapezoid is __54*2/3=36_ square centimeters.

Help me with this problem !!!!!!!!!!

Answers

Answer:

Hi, your answer is y=[tex]-\frac{1}{2} x[/tex]-3

Step-by-step explanation:

We will use the slope-intercept formula which is

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

We will use two points in this case I'll use

(-2,-2) and (-8,1)

[tex]\frac{1-(-2)}{-8-(-2)}[/tex]=[tex]-\frac{3}{6}[/tex] which can be simplified as [tex]-\frac{1}{2}[/tex]

Your Y will be -3

which your final answer will be y=-1/2x-3

Hope this helps :)

Given
g(x) = 4x2 + 6
What is g(-3)

Answers

Answer:

[tex]g(-3)=42[/tex]

Step-by-step explanation:

Given:

[tex]g(x)=4x^2+6[/tex]

Let's substitute -3 for [tex]x[/tex]

[tex]g(-3)=4(-3)^2+6[/tex]

Now, let's solve

[tex]g(-3)=4(9)+6[/tex]

[tex]g(-3)=36+6[/tex]

[tex]g(-3)=42[/tex]

Hope this helps

g(-3)=42 or g(x)=42 or 42
(Not sure how your program would write the answer)
Basically what you do is input -3 into wherever there is an x. So the equation would become 4(-3)^2+6 which equals 42

Select the equivalent expression.

Answers

the equivalent expression is C

A warehouse has a height of 8\frac{1}{2}8 2 1 ​ meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 ​ meters. What is the volume of the warehouse?

Answers

Answer: [tex]20,706\ m^3[/tex]

Step-by-step explanation:

Given

The warehouse has the following dimension

Height is [tex]h=8\frac{1}{2}\ m[/tex]

[tex]h=\dfrac{17}{2}\ m[/tex]

Length is [tex]l=120\ m[/tex]

Width is [tex]w=20\frac{3}{10}\ m[/tex]

[tex]w=\dfrac{203}{10}\ m[/tex]

Volume of the warehouse is the product of height, length and width

[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]

Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].

Plz help ill give brainlyest

Answers

Answer:

your answer would be become 11 feet

John got $30 for weeding the garden. He used money to buy a $15.25 video game and three snacks that cost $1.25 each. He bought his friend a snack too. If he went home with 1/6 of the money he started with, how much did his friends snack cost? A $5.00 B $6.00 C $8.50 D $11.00 E $13.50 F $14.75

Answers

Answer:

B

Step-by-step explanation:

His friends snack was 6 dollars.

15.25+1.25= 16

16+1.25= 17.25

17.25+1.25= 19

1/6 of 30 is 5 because 5x6=30.

30-19=11

He has to have 5 left over so the snack was 6 dollars.

Pleaseee help ASAP !!!!!!!!!!!

Answers

Given:

The dimensions of base are 5 cm and 5cm.

The height of the pyramid is 3 cm.

To find:

The volume of the pyramid.

Solution:

The volume of a pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]                ...(i)

Where, B is the base area and h is the height of the pyramid.

The base area of the given pyramid is:

[tex]B=length \times width[/tex]

[tex]B=5 \times 5[/tex]

[tex]B=25[/tex]

Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get

[tex]V=\dfrac{1}{3}(25)(3)[/tex]

[tex]V=25[/tex]

Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.

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