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

What are the values of AB and DE in parallelogram

ABCD?

AB=?

PLEASE HELP

Answers

Answer:

AB=12

ED=6

Step-by-step explanation:

AB=CD=12

BC=AD=26

ED=26-20=6

Jacob wants to enlarge a 4 in. By 6 in. Photo so that the longer side will be 14 in. How long will the shorter side be? (MUST SHOW WORK) HINT: Refer to your notes on Scale Drawings.

Answers

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?

Answers

Answer= 4/3 or 1.33

Explanation:

The required triangle is possible, the value of the tangent of ∠I is 1.33.

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.

In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.

Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:

HI² = HJ² + IJ²

5² = 4² + 3²

25 = 16 + 9

tan(∠I) = opposite/adjacent = HJ/ JI = 4/3

Rounding to the nearest hundredth, we get:

tan(∠I) ≈ 1.33

Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.

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Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?

2/5
1/48
4/5
1/3

Answers

Answer:

2/5

hope it helps

Thank you

Write the equations of two lines that are parallel to the line 3x+6y-5=0

Answers

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

How many times larger than
(15 + 10) is 8 x (15 + 10)?

Answers

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

Help plz I dont get it

Answers

Roxanne finished more of her to do list because if you take 5/6 and turn it into a decimal you get 0.83, while Quinn finished least because 7/9 is 0.77

convert the decimal number 356 to a Quinary number

Answers

Answer : Yes the answer to your question is 2411.

Explanation : how I got the answer

To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:

To convert integer 356 to quinary, follow these steps:

Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent quinary number.

356 / 5 = 71 with remainder 1

71 / 5 = 14 with remainder 1

14 / 5 = 2 with remainder 4

2 / 5 = 0 with remainder 2

Here is the answer to 356 decimal to quinary number:

2411

If the farm has 10,000 spinach plants, Describe a method that would produce a random sample and how many in your sample study?

Answers

Answer:

Take an even number of random samples from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100 spinach plants

Step-by-step explanation:

Given that the total number of spinach plants in the farm = 10,000

To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.

After determining these Take an even number of random sample from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100

Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39

Answers

Answer:

Option C

only there is p > -3

p < 6

Answer:

c

Step-by-step explanation:

What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?

Answers

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

Solve ay+b = cx for y

Answers

Answer:

y=cx-b/a

Step-by-step explanation:

ay+b=cx

ay=cx-b

y=cx-b/a

probability, please help i will give brainliest

Answers

Umm very unlikely because umm common sense

Can someone help me?It's urgent and thank you!

Answers

The correct answer is x=4.
First of all we need to cancel our square root but in order to do that we have to multiply everything to the power of 2:

([-8+3x)^2= 2^2

-8+3x=4

3x=4+8

X=12/3

Final answer:

X=4

I hope you understand my explanation so good luck and best of wishes!!

Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?

Answers

Firstly, 27 x 4.54
= $122.58

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

What is PEDMAS rule?

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

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Can 17, 9, and 11 be the side lengths of a triangle?

Answers

Answer:

No it cant

Step-by-step explanation:

You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.

Evaluate expression-What is the value of the expression when x=11 and y=7


A.4

B.128

C.49

D.14

Answers

Answer:

C. 49

Step-by-step explanation:

Start by filling in your values.

[tex]7^{2} + 99 / 11 - 9[/tex]

Solve using PEMDAS.

49 + 99 / 11 - 9

49 + 9 - 9

58 - 9

49

Answer:

[tex]c .\: \: 49[/tex]

Step-by-step explanation:

[tex] {y}^{2} + 99 \div x - 9[/tex]

[tex] {7}^{2} + 99 \div 11 - 9[/tex]

[tex] 49 +99÷11-9[/tex]

[tex]49+9-9[/tex]

[tex]58-9[/tex]

[tex]49[/tex]

Hope it is helpful...

pa help po............. ............​

Answers

Answer:

ΔABC

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

ΔXYZ

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

ΔNOR

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;

In triangle ΔABC, we have;

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

In triangle ΔXYZ, we have;

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

In triangle ΔNOR, we have;

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest​

Answers

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Please help me! I need to get this done but don't know how!

The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?

a. height: 19 in.
depth: 5 in.

c. height: 19 in.
depth: 7 in.

b. height: 21 in.
depth: 5 in.

d. height: 21 in.
depth: 7 in.

Answers

Answer:

Step-by-step explanation:

your answer would be b

Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?

Answers

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles

Answers

Sheeeseeeeeeeeeeeeeeeeeesh

The distance travelled by the Lucas will be equal to 105 miles.

What is an average speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

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math pls pls help help no trolls i really need this grade​

Answers

Answer:

The second one is 3 and the third one is 8

Step-by-step explanation:

Just trust me

What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48

Answers

Answer:

32

Step-by-step explanation:

m-án=16, when n = 8

Substitute the given side lengths into the equation for the Pythagorean Theorem.

Answers

Answer:

15 is the missing side (hypotenuse)h

Step-by-step explanation:

A^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

Frereise !
Calculate the coordinates of the intersection point of the two lines (4.) and ((,)
1) (d): y = 4x-2 and (d): y = 8v+6 2)(a); y .-2x + 7 and (d): y = 3x - 3
3)(y *d
4) (4): y
and (d): y -
1
1
1
3
4
5
Exercise 2
1) The straight line (d): y = 5x + 2 cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
2) The straight line (d): y = cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
3
5
.
: y
2​

Answers

Answer:

Mastong by skoger넞호오ㅗ노아ㅗ너너엉

Please help with my math! Question number 2

Answers

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%

Answers

Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern



A. All the numbers are odd


B.all the numbers are even


C.all the numbers are multiplies of 3

D. All of the numbers are prime

Answers

Answer is A. All numbers are odd.

Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)

Answers

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

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