Drag the tiles to the correct boxes to complete the pairs.

Match each subtraction of complex numbers to its simplified difference.

Drag The Tiles To The Correct Boxes To Complete The Pairs.Match Each Subtraction Of Complex Numbers To

Answers

Answer 1

Here are the complex numbers with their simplified differences

(7 -3i) - (6 - 4i) = 1 + i

(4 + 3i) - (6 +2i) = -2 - i

(4 + 5i) - (3 - 4i) = 1 + 9i

(5 + 4i) - (9 + i) = -4 + 3i

A complex number is when a real number and an imaginary number are added together

Complex numbers are usually in the form : a + bi

where a and b are real numbers and i is an imaginary number

An example of a complex number:

in this complex number : (7 -3i)

7 and 3 are real numbers while i is the imaginary number

How to simplify complex numbers

In order to simplify these set of complex numbers, remember that when there is a bracket in mathematics it signifies multiplication.

Here are the set of rules that guide multiplication :

1. When a negative value is multiplied by a positive value, the value becomes a negative value

For example, -1 x 1 = -1

2. When a positive value is multiplied by a positive value, the value remains a positive value

For example, 1 x 1 = 1

3. When a negative value is multiplied by a negative value, the value becomes a negative value

For example,-1 x -1 = 1

Solution to the questions:

Using the above information, the complex numbers can now be simplified

1. (7 -3i) - (6 - 4i)

this above equation becomes :

7 - 3i - 6 + 4i

add like terms together

7 - 6 - 3i + 4i  = 1 + i

2. (4 + 3i) - (6 +2i)

this above equation becomes :

4 + 3i - 6 - 2i

add like terms together

4 - 6 +3i - 2i = -2 - i

3. (4 + 5i) - (3 - 4i)

this above equation becomes :

4 + 5i - 3 + 4i

add like terms together

4 - 3 + 5i + 4i  = 1 + 9i

4. (5 + 4i) - (9 + i)

this above equation becomes :

5 + 4i -9 -i

add like terms together

5 -9 + 4i - i  = -4 + 3i

In order to solve for complex numbers remember that a bracket in mathematics means that a multiplication operation should be carried out. Also, pay cognisance to the rules guiding the multiplication of negative and positive numbers

Here is a similar question and answer on how to solve for complex numbers : https://brainly.com/question/1459664?referrer=searchResults


Related Questions

Red maple trees can reach heights up to 80 feet. What is the height of the maple tree shown below?

Answers

Answer:

h = 54.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 35 = h/95

95 sin 35 = h

h=54.48976

Rounding to the nearest tenth

h = 54.5

Answer:

Step-by-step explanation:

[tex]sin 35/h = sin 90/95\\n=54.48976145\\54.5[/tex]

b) What is the 4 times of the sum of 3and9?

Answers

Answer:

108

Step-by-step explanation:

sum is a fancy word for add so 3+9=27 and 27*4=108

I’m confuse about the question I don’t know you mean in equation but 4(x+3)= 9

lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies. She then had 3/7 of the container of sugar left. How much sugar was in the container at first

Answers

Answer:

At the beginning, there were 2,678.26 grams of sugar in the container.

Step-by-step explanation:

Since Lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies, and she then had 3/7 of the container of sugar left, to determine how much sugar was in the container at first, the following calculation must be performed:

880 + 1 / 10X = 3 / 7X

880 + 0.1X = 0.4285X

880 = 0.4285X - 0.1X

880 = 0.3285X

880 / 0.3285 = X

2,678.26 = X

Therefore, at the beginning there were 2,678.26 grams of sugar in the container.

An absolute value function has
A. Curved lines that only increases and decreases.
B. Straight lines that do both increase ,decrease, or stay constant on the same graph
C.Straight line that do both increase and decrease on the same graph
D. Straight lines that only increase or decrease
E. Curved lines that do both increase and decrease on the same graph

Answers

C, absolute function is basically a V shaped graph.

Find the probability of 3 success for the binomial experiment with 7 trial and the success probability of 0.3. Then find the mean and standard deviation. Write the formula substitute
the values.

Answers

Answer:

[tex]P(x=3)=0.2269[/tex]

Mean=2.1

Standard deviation=1.21

Step-by-step explanation:

We are given that

n=7

Probability of success, p=0.3

q=1-p=1-0.3=0.7

We have to find the probability of 3 success for the binomial experiment  and find the mean and standard deviation.

Binomial distribution formula

[tex]P(X=x)=nC_xp^{x}q^{n-x}[/tex]

Using the formula

[tex]P(x=3)=7C_3(0.3)^3(0.7)^{7-3}[/tex]

[tex]P(x=3)=7C_3(0.3)^3(0.7)^{4}[/tex]

[tex]P(x=3)=\frac{7!}{3!4!}(0.3)^3(0.7)^{4}[/tex]

[tex]P(x=3)=\frac{7\times 6\times 5\times 4!}{3\times 2\times 1\times 4!}(0.3)^{3}(0.7)^{4}[/tex]

Using the formula

[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]

[tex]P(x=3)=0.2269[/tex]

Now,

Mean, [tex]\mu=np=7\times 0.3=2.1[/tex]

Standard deviation, [tex]\sigma=\sqrt{np(1-p)}[/tex]

Standard deviation, [tex]\sigma=\sqrt{7\times 0.3\times 0.7}[/tex]

Standard deviation, [tex]\sigma=1.21[/tex]


Can someten help me find the answer?

Answers

answer is B that’s because if you use shadow clone jutsu, your chakra drains a lot more than the rest

Answer:

D

Step-by-step explanation:

It subtracts.

Use the figure to find x.

Answers

Answer:

Step-by-step explanation:

The sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 30° angle is (12√6)÷2 = 6/√6.

The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.

The sides of a 45-45-90 triangle are in the ratio 1:1:√2

The hypotenuse is 3√2, so the side opposite the 45° angle is 3.

x = 3

if the volume of a cube is 2197cm3, find the height of the cube​

Answers

Since it’s a cube all sides are equal

Y+10 like terms from expression 2

Answers

Answer:

y+10=2

y=-8

Step-by-step explanation:

y=2-10

y=-8

solve above question​

Answers

The probability of getting head is 3/4 or simply 0.5

I need help with this

Answers

Answer: A
When put in y=mx+b it is y= 2/3x+4

Please help …………………….

Answers

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The blanks are trying to lead you through the process of finding the point of interest.

__

The horizontal distance from T to S is 9 . (or -9, if you prefer)

The ratio you're trying to divide the line into is the ratio that goes in this blank:

Multiply the horizontal distance by 2/3 . (9×2/3 = 6)

Move 6 units left from point T.

The vertical distance from T to S is 6 .

Multiply the vertical distance by 2/3 . (6×2/3 = 4)

Move 4 units up from point T.

__

Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).

two interior angles of a trapezium sum up to 250 degrees If the remaining angles are equal find the value

Answers

9514 1404 393

Answer:

  each is 55°

Step-by-step explanation:

The sum of angles in a trapezium is 360°, so the sum of the remaining two angles is 360° -250° = 110°. Each of those two equal angles will be ...

  110°/2 = 55°

Please help!!! Find the domain of the function y = 2 cot(5∕8x).
A) All real numbers except odd integer multiples of 8π∕5
B) All real numbers except 0 and integer multiples of 8π∕5
C) All real numbers except 0 and integer multiples of 4π∕5
D) All real numbers except odd integer multiples of 4π∕5

Answers

Answer:

Function 

Step-by-step explanation:

) Domain is defined as the set of possible values of x where function is defined.

For domain, 

So, 

The value of x is define as 

The domain of the function is all real numbers except 

The range is defined as all the y values for every x.

So, The range of the function is all real numbers.

2) The general form of the cot function is 

Where, Period is 

On comparing, B=3

So, The period of the given function is 

3) Vertical asymptote is defined as the line which approaches to infinity but never touches the line.

The vertical asymptote is at  where function is not defined.

The two vertical asymptote is

Put n=0,

Put n=1,

So, The two vertical asymptote are 

Answer:

B.)

Step-by-step explanation:

took test

Write each set in the indicated form.
If you need to use "
…" to indicate a pattern, make sure to list at least the first four elements of the set.

Answers

Answer:

a. Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}

Or

{y | y is a natural number and 11 < y < 16}

b. Rooster form: {3, 4, 5 ,6, ...}

Step-by-step explanation:

a. Rooster form: {12, 13, 14, 15}

All four numbers are natural numbers, therefore we would write this set of numbers in set builder form such that they will all have the same property. Thus:

Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}

Or as

{y | y is a natural number and 11 < y < 16}

b. Set-builder form: {y | y is a natural number and y > 2}

Since natural numbers are positive integers, this tells us that all values of the set are not less than or equal to 2. Therefore, they are integers that range from 3 and above.

Thus:

Rooster form: {3, 4, 5 ,6, ...}

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that
Rn(x) → 0.] Find the associated radius of convergence R.
f(x) = 8(1 − x)^−2
show step by step including finding the derivatives.

Answers

Recall that for |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

Differentiating both sides gives

[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=0}^\infty (n+1)x^n[/tex]

and multiplying both sides by 8 gives the series for f(x) :

[tex]f(x)=\displaystyle \frac8{(1-x)^2} = \boxed{8\sum_{n=0}^\infty (n+1)x^n}[/tex]

and this converges over the same interval, |x| < 1, so that the radius of convergence is 1.

Samir estimates the value of Three-fifths times 16.1. Which estimate is reasonable?

3
9
12
15

Answers

Answer: 9

Step-by-step explanation:

[tex] \frac{3}{5} \times 16.1 = 9.66[/tex]

HELP!!!!
Which of the following is the absolute value of 6 − 3i?

A) 3i√3

B) 3√5

C) 3√5i

D) 3√3

Answers

Answer:

B

Step-by-step explanation:

We want to find the value of:

[tex]\displaystyle |6-3i|[/tex]

Recall that given a complex number z in the form:

[tex]z=a+bi[/tex]

The absolute value of z will be given by:

[tex]\displaystyle |z| = \sqrt{a^2+b^2}[/tex]

We have the complex number:

[tex]6-3i[/tex]

Thus, a = 6 and b = -3.

Then its absolute value will be:

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

Evaluate:

[tex]\displaystyle |6-3i|= \sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex]

Hence, our answer is B.

The following data points represent the number of remote controllers each student in Tria's video game club owns.

Sort the data from least to greatest.

0

0

7

7

4

4

2

2

0

0

1

1

8

8

0

0

10

2

2

5

5

Find the interquartile range (IQR) of the data set.

Answers

Answer:
Data set (Least -> greatest)
0,0,0,0,0,0,1,1,2,2,2,2,4,4,5,5,7,7,8,8,10

IQR = 6

Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained.

Do You Support? Number Of
YES 40
NO 60
NO OPINION 50

a. The value of the chi-square test statistic equals _____?
b. The number of degrees of freedom associated with this scenario is _____?

Answers

Answer:The correct answer is  They wanted to impede the sale of alcohol.

Step-by-step explanation:

They had beliefs that alcohol was against Christianity and that it ruins families and since it ruins families it should be prohibited. They eventually managed to win enough support and ban all alcohol which lasted for a few years before the prohibition ended.

what is 24 subtracted from 8

Answers

Hi!

8 - 24 = -(24 - 8) = -16

Answer:

-16

Step-by-step explanation:

8-24=-16

Muhammad lives twice as far from the school as Hita. Together, the live a total of 12 km
from the school. How far away drom the school does each of them live?

Answers

Answer:

Muhammad lives 8 km away from the school.

Hita lives 4 km away from the school.

Step-by-step explanation:

First of all, find a number that, when you double that number and add both numbers, you will get 12. That number is 4. So double 4 and get 8. Then add both to get 12.

Find the area of the sector formed by central angle
θ
in a circle of radius
r
if

θ
=
2
;
r
=
6

m

Answers

Answer: 0.2pi

Step-by-step explanation:

1. Find the area of the entire circle

2. Set up a proportion that compares the relationship of the Area of sector and the Area of circle to the Arc measure and the circle measure

3. Solve!

Serkan teacher regularly buys 75 TL of gasoline in his car every week.
At the end of the 13th week, how much is the total gasoline expenditure made by the serkan teacher?
A)390 B)420 C)900 D)975

Answers

Answer:

d

Step-by-step explanation:

75 per week,

after 13 weeks, 75*13 = 975

The product of 86 and the depth of the river

Answers

Answer:

Step-by-step explanation:

Are you trying to find a variable expression? the product of 86 means multiplication so 86*n or 86n. Other than that I dont understand the question.

21 × 6 ÷ 7 + 12 - 15​

Answers

Answer:

15

Step-by-step explanation:

By order of operations, multiplication and division are done first, then the addition and subtraction. Remember, multiplication and division have the same precedence, as does addition and subtraction.

21*6 = 126

126/7 = 18

18 + 12 = 30

30 - 15 = 15

Answer:

15

Step-by-step explanation:

21 × 6 ÷ 7 + 12 - 15​

= 126 ÷ 7 + 12 - 15

= 18 + 12 - 15

= 30 - 15

= 15

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What percentage of MBA's will have starting salaries of $34,000 to $46,000

Answers

Answer:

The correct answer is "76.98%".

Step-by-step explanation:

According to the question,

⇒ [tex]P(34000<x<46000) = P[\frac{34000-40000}{5000} <\frac{x- \mu}{\sigma} <\frac{46000-40000}{5000} ][/tex]

                                       [tex]=P(-1.2<z<1.2)[/tex]

                                       [tex]=P(z<1.2)-P(z<-1.2)[/tex]

                                       [tex]=0.8849-0.1151[/tex]

                                       [tex]=0.7698[/tex]

or,

                                       [tex]=76.98[/tex]%

Which theorem accurately completes Reason A?

Answers

hich theorem accurately completes Reason A

Each minute Garret is able to run 124 meters. If he has already run 328 meters, what will his total distance be after 11 minutes?
A. 1,692 meters
B. 2,244 meters
C. 3,674 meters
D. 4,972 meters

Answers

Answer:

A.

Step-by-step explanation:

124 * 11 = 1364

1364 + 328 = 1,692

If u= 70% and o=5%, what % of scores fall within 3 standard deviations from the mean?

Answers

Answer:

"85%" is the right answer.

Step-by-step explanation:

Given:

[tex]\mu = 70[/tex] (%)

[tex]\sigma = 5[/tex] (%)

As we know,

The 99.7% observation fall within the 3rd standard deviation, then

⇒ [tex](\mu \pm \sigma ) = (70-(3\times 5)) \ to \ (70+(3\times 5))[/tex]

                [tex]=(70-15) \ to \ (70+15)[/tex]

                [tex]=55 \ to \ 85[/tex] (%)

Thus the above is the correct solution.  

Other Questions
Simplify: y^-3 a) 3/yb) - 1/y^3c) -3yd) 1/y^3 Randwick Medical Centre provides wide range of hospital services. The hospitals board of directors has recently authorized the following capital expenditure:TshsNeonatal care equipment900,000CT scanner 800,000X-ray equipment650,000Laboratory equipment1,450,000Total3,800,000The expenditures are planned for 1st October 2018, and board wishes to know the amount of borrowing, if any on that date. Jesusson the management accountant has gathered the following information to be used in preparing an analysis of future cash flows:Billings for the first six months of 2018 made in the month of service are as follows;MonthActual Amount (Tshs)January 4,400,000February 4,400,000March4,500,000April 4,500,000May 5,000,000June 5,000,000July 4,500,000August5,000,000September 5,500,000October5,700,000November 5,800,000December 5,500,00080% of the hospitals billing are made to health insurance fund (NHIF) the remaining 20% of billing are made directly to patients. Historical patterns of billing receipts are presented below:NHIF billing (%)Direct patient billing (%)During month of service 5020During month following service2040During second month following service2030Uncollectable1010The planned purchases for 2018 are presented in the following schedule:Month Amount (Tshs)April 1,100,000May1,200,000June1,200,000July1,250,000August 1,500,000September1,850,000October1,950,000November2,250,000December1,750,000Additional information:All purchases are on credit, and account payable are paid in the month following the purchaseSalaries expected to be Tshs 1,500,000 each month and are paid in the month of service.The hospitals monthly depreciation charges are Tshs 125,000Interest expenses of Tshs 150,000 are incurred on the last day of each quarter ( 31 March, 30 June, 30 September and 31 December.Investment income is expected to continue at the rate of Tshs 175,000 per month.The hospital has a cash balance of Tshs 300,000 on 1st July 2018 and has a policy to maintaining a minimum end of month cash balance of 10% of current month purchases.The hospital uses a calendar year reporting period.RequiredPrepare a cash budget for the last two quarter of 2018 (July to December). Can someone help me out Suppose a program written in language L1 must be executed on a machine running a program running in language L0. What important operation must take place Which of the following is not a data visualization technique? The number seventeen and seven thousand in decimal form is name the dynasty rural over China The organisms native to an area will impact the types of soil found in that area.Please select the best answer from the choices providedT FHELP ASAP LeoParticipo en la lectura dirigida del texto Las nuevas tecnologias y su impacto en el consumo de radiopara desarrollar en una plenaria:1. Cul es el mensaje?2. Qu lugar ocupan las nuevas tecnologias en la sociedad? The blue team scored two more than five times the number of points,p, scored by the red team Write an expression for the problem which of the following is not a type of light microscope?A. transmission electron microscope B. phase contrast microscope C. bright field microscope D. stereo microscope HELP PLEASE! Write an equation with variables on both sides that has a single solution "-1." Explain how to find that solution Find x.A. -2B. 4C. 2/2D. 6/2 What is ADO.net???????? can someone please help me solve this? List six examples of aggressive behavior when communicating. An exponential function fx) is reflected across the y-axis to create functiong(x). Which is a true statementregarding fa) and g(x)?The two functions have no points in commonThe two functions have the same initial valueThe two function have opposite output values of each other for any given input valueThe graph of the two functions would look exactly the sameIntro Convert 13pi/6 to a degree measure A=390B=2450.44C=30D=780 What is patronage? A. Finding the perfect person for a job based on their skills B. Keeping people separated due to their race or gender C. Giving the oldest applicant the job D. Rewarding loyal political supporters with jobs or money I7. The total cost to rent a truck is $100 and $0.20 per km.a. Determine an algebraic model for the relationship between total cost and distance driven. Use C torepresent total cost (S) to rent the truck and d to represent distance driven (km).