Mathematics High School

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

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:

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.

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

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)

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.

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

which of these tables represents a function? HELP ASAP

Answers

Where’s your picture?

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]

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

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

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

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

Answers

x = -12 - 4y

y = -3 - (x/4)

There you go! :D

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

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

Answers

it is not factorable

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)

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.

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

(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

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

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 = 4² = 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

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

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.

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.

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:

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:

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:

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

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:

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