100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi

Answers

Answer 1

Answer:

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

Answer 2

Answer: This is what I turned in and it was right :)

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi


Related Questions

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot

Answers

Answer:

Option A

Step-by-step explanation:

Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?

A: 8 2/3 - 4 5/12

B: 2 3/12 + 2 1/3

C: 6 5/9 - 2 1/4

D: 3 1/4 + 1 4/9
NO LINKS!!!

Answers

Answer:

The Answer is A. :)

Step-by-step explanation:

Please help this is my last points
Answer with explanation please
Please I need it now

Answers

Answer:

im going to guess cause i barely see 120

Step-by-step explanation:

Answer:

Three sets of supplementary angles

1 & 4 = 180º

2 & 5 = 180º

3 & 6 = 180º

Total = 540º

Sum of angles in triangle = 180º

Therefor sum of exteriort angles

540 - 180 = 360º

What is 216/162 written as an improper fraction in simplest form?

A.6/4

B.4/3

C.3/2

Answers

Answer:

4/3

Step-by-step explanation:

216 / 162

= 108 / 81

= 12 / 9

= 4 / 3

Answer:

The improper fraction is 4/3 because when you read the sentence and listen to the teacher it will tell you the answer because of your teacher giving you the answers you will get 100% on your assignment or Quiz.

Step-by-step explanation:

Brainliest Plz

Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C

Answers

Answer:

imagine cheating on your star assessment but same tho the answer is c

Step-by-step explanation:

because i solved it on paper

Answer:

Step-by-step explanation:

C

It takes 39 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?

Answers

Answer:

0.1

Step-by-step explanation:

Create a probability model for the outcome of performing 2 spins. What is the probability of NOT landing on yellow or red at all?

Answers

Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.

Creating a square model of the two spins :

Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)

___ R ___ B ___ G ___ Y

R_ RR __ RB __ RG __ RY

B_ BR __ BB __ BG __ BY

G_ GR __GB __ GG __GY

Y_ YR __ YB __ YG __ YY

Sample space = = 16

Combinations without red and yellow :

{BB, BG, GB, GG} Number of selections without red or yellow = 4

Recall :

Probability = required outcome / Total possible outcomes

P(without Red or Yellow) = 4/16 = 1/4

Hence, the probability of not landing on yellow or red at all is 1/4.

Learn more : https://brainly.com/question/14605518

It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.

How long did it take Jada to put the puzzle together?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

1 3/4 brainliest please

Step-by-step explanation:

Answer:It took Jada 1 3/4 hours to put the puzzle together.

Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.

Dashawn solves the following system of equations using the elimination method.

3x−4y=36
5x+2y=8

What value does he correctly determine for x?

Enter you answer in the box.

Answers

Answer:

x = 4

Explanation:

3x - 4y = 36

5x + 2y = 8 ( multiply all by two )

3x - 4y = 36

10x + 4y = 16

13x = 52

Divide by 13

x = 4 hope this helps

Answer: x = 4

Step-by-step explanation: the dude is correct

which of these tables represents a function? HELP ASAP

Answers

Where’s your picture?

PLS HELP WILL MARK YOU BRAINLIEST!!!

Answers

[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]

[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]

[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]

[tex]\\ \sf\longmapsto 3x^2-2[/tex]

Answer:

The answer is B

Step-by-step explanation:

3x - 2x^2 + 3 -(-5x^2 + 3x + 5)

3x - 2x^2 + 3 + 5x^2 - 3x - 5

= 3x^2 - 2

What are the types of polygons?

Answers

Answer:

Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon

Answer:

1.Regular Polygons.

2.Irregular Polygons.

3.Concave Polygons.

4.Convex Polygons.

5.Trigons.

6.Quadrilateral Polygons.

7.Pentagon Polygons.

8.Hexagon Polygons.

Step-by-step explanation:

helppppppp




plwaseeee

Answers

first blank one is 5.58, 2nd blank one is 6.08 hope i got it right

it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.

Answers

Answer:

Our equation: y = 200x/3 + 100

Step-by-step explanation:

The trend line is linear.

y = mx + b

=> b = y-intercept = 100

=> m = slope = rise/run

=> 400/6 = 200/3

=> Slope = 200/3

Our equation: y = 200x/3 + 100

Hoped this helped.

10 feet long and 5 feet wide. What is its area?

Answers

Answer:

50 square feet

Step-by-step explanation:

Length x width

Answer:

50

Step-by-step explanation:

10 times 5 = 50

Find the indicated probability.
The following table show the results of a clinical trial for an allergy drug.

Answers

I’m pretty sure the answer is c but not quite sure I’ve had this before

Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?

Answers

49 because she can stack more ty

HELP * PICTURE INSERTED*

Answers

Answer:

9m^2

Step-by-step explanation:

Area of triangle = 1/2 ×base×height

=1/2(2/3m ×27m)

Area of triangle =9m^2

Find the gradient of the line passing through (0,2) and (3,5)

pls i need for hwk

Answers

Answer:

The gradient is 1

Step-by-step explanation:

m, gradient= (y2-y1) ÷ (x2-x1)

The cost of renting a video game is $4 per a day, plus a $3 rental fee. If jonathan has $12 to spend, what is the maximum number of days he can rent the video game?.

Answers

Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

can 22.75 be rounded off to 23.5?
(im not smart pfft)​

Answers

Answer:

No

Step-by-step explanation:

22.75 can be rounded to:

22.8

23

20

Answer:

no only 22.8

Step-by-step explanation:

(ASAP) helpp i need to get this done 3m

Answers

3(a-4) + 1= 9 - a

3(a-4) = 8 - a

3a-12 = 8 - a

4a = 20

a=5

I hope this helps! :)

Answer:

a=5

Step-by-step explanation:

3(a-4)+1=9-a

3a-12+1=9-a

   3a-11=9-a

   3a+a=9+11

       4a=20

         a=20÷4

           =5

How do I factor . X2 { squared } -9x+28?

Answers

it is not factorable

If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.

Answers

Volume: h • pi r^2

Volume: (7.5) • pi (2)^2

Volume: 94.247796

Just round to your teacher’s liking

Answer:

The volume of the cone is approximately 31.43 cm³

Step-by-step explanation:

We know that:

Volume of cone: πr²h/3h = 7.5r = 2

Work:

πr²h/3=> π x r² x h/3=> 22/7 x 2² x 7.5/3=> 22/7 x 4 x 2.5=> 22/7 x 10=> 220/7=> 31.43 (Rounded to nearest hundredth.)

Hence, the volume of the cone is approximately 31.43 cm³

Hoped this helped.

[tex]BrainaicUser1357[/tex]

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Givens

m = 1/4

y2 = 4

y1 = 1

x2 = 2

x1 = x

m = (y2 - y1) / (x2 - x1)

Solution

1/4 = (4 - 1) / (2- x)                Simplify

1/4 = 3 / (2 - x)                      Cross multiply

2- x =12                               Subtract 1 from both sides

-x = 12 - 2

-x = 10                                 Multiply by -1

x = -10

Check

1/4 = (4 - 1) / (2 - - 10)

1/4 = 3/(2 + 10)

1/4 = 3 / 12

1/4 = 1/4

Odd as the answer is, it does check.

Some people use this rule to work out
how many hours' sleep each night
young children need.
tract the child's age in years from 30,
ten divide the result by 2
Sanjay is 8 years old.
Use the rule to work out how many
hours' sleep he needs.

Answers

Sanjay needs 11 hours of sleep

What is the slope intercept equation from the graph?


Please help thank u

Answers

Answer:

the desired equation is y = (-3/2)x + 3

Step-by-step explanation:

Two points through which the graph passes are (0, 3) and (2, 0).  (0, 3) is the y-intercept.  Thus, the slope-intercept equation y = mx + b becomes

y=mx + 3.  Borrowing the coordinates of (2, 0) and substituting them into this last result, we get

0 = m(2) + 3,

which, after having been solved for m, gives us m = -3/2

and so the desired equation is y = (-3/2)x + 3.

8x - 2y = 4 and x + 4y = -12

Answers

x = -12 - 4y

y = -3 - (x/4)

There you go! :D

Other Questions
Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames Which statement is true in the question below? Decide if the following sentence is grammatically CORRECT or INCORRECT.Die Frau und der Mann gehen gern ins Theater.O correctO incorrect Solve 100N up 90N down for net force Lu was tempted to vape because all of her friends were doing it. However, she reminded herself that it is illegal. Breaking the law would be the wrong thing to do. What stage of moral development would Kohlberg MOST likely say Lena is demonstrating? A. Post-conventional B. Ethical conventional stage C. Preconventional stage D. Conventional stage which kind of policy was the troubled asset relief program? I NEED HELP PLEASE I WILL GIVE BRAINLIEST Pretend you are a citizen of the Republic of Texas. Give two pros for annexation to the United States and two cons for annexation to the United States. Now that you have reviewed the pros and cons, what do you think would be the better choice? .5 sentences Can anyone solve this from 1 to 3? Find the perimeter. Simplify your answer. give 20 examples for a parable 40 pts & Brainliest to first Correct. PLZ HELP ASAP from william shakespeares Sonnet 55:what two things are being compared in these lines: Not marble, nor the glided monuments of princes, shall outlive this powerful rhyme;how long will both the poem and the speakers beloveds memory survive: so, till the judgement that yourself arise, you live in this, and dwell in lovers eyes. Using the equation R(x) = x - 2,000 What would be the y value when x is 70,000?72,00068,00074,00050,000 The mutation shown in the sequence below can be categorized as which type?Original DNA sequence:A T A C G G T A G C A AT A T G C C A T C G T TMutated DNA sequence:A T C G G T A G C A AT A G C C A T C G A A(1 point)insertion mutationdeletion mutationchromosomal mutationsubstitution mutation Can someone answer this with a short clip of singing a song for 100 points and Branielist. PLLLSSSSS ACTUALLY DO ITTTT ples help me! What type of textual evidence should you look for in a story to help you draw conclusions about a character or narrators point of view? A. Plot details that develop the authors main idea B. Evidence of what the character or narrator thinks C. Descriptions of the character or narrators appearance D. Other characters thoughts about the character or narrator 14. How do the metaphors of warmth and light in lines 3-4 of Passage 4 help the reader understand the lost love that the speaker is trying to forget? A. Warmth represents her thoughts, and light represents her feelings. B. Warmth and light represent the emotional and intellectual facets of her love. C. Warmth and light suggest opposites attracting. D. Warmth and light help the reader understand her heartache and memories. 1 32 multiplied by 0.32 when rounded to the nearest hundredths who was officially titled the king of rock and roll?