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

6x + 19y = –10 in slope intercept form

Answers

6x+19y=-10 in slope- intercept form is y=-6/19x-10/19

Answer:

y = (-6/19)x - 10/19

Step-by-step explanation:

Solving 6x + 19y = –10 for y, we get 19y = -6x - 10, or y = (-6/19)x - 10/19.

This is in slope-intercept form.

What are the coefficient terms and Constants of 10x + 5 + 3x + 1

Answers

Answer:

The Coefficients in this expression are 10 and 3, while the constants are 5 and 1.

Step-by-step explanation:

Coefficients = The number that is in front of the variable.

Constant = Any number without a variable.

(Variables are the letters that you may find in an equation or function.)

Hope this helps you :)

Answer:

The coefficient are 10 and  3

The constants are 5 and 1

Step-by-step explanation:

A coefficient is the number in front of any known term.

A constant is a number by itself.

So the coefficient are 10 and  3

The constants are 5 and 1

Davina received 50 votes, Binh received 40 votes. What is the ratio of Binh's votes to Davina's votes in simples form?

Answers

Answer:

The answer is 4 hope this helps

2.) Functions or Not a Function? Explain?


Answers

Answer:

answer

Step-by-step explanation:

Not a function.

When x repeats, it is automatically not a function. If y repeats, it is still a function.

The answer is that it is not a function. The reason why is because if there is a repeating x, it cannot be called a function

Confused help please

Answers

Answer:

130

Step-by-step explanation:

1 and 2 form a straight line, so they are supplementary. That means they add up to 180. So,

a1+a2=180

50+a2=180

a2=130

Answer:

it would be B.130

Step-by-step explanation:

considering an angle can only go to 180* subtract 50 from 180 and you get 130

lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees​

Answers

Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.

Since the amount of chocolate decreases as the number of attendees increase;

We use inverse variation to model the scenario :

y = k/x ; k = constant of proportionality

Taking any pair of points :

3000 = k/8

k = 3000 × 8

k = 24000

Hence, the constant of variation is 24000

The variation expression is y = 24000/x

This means that the total cost of organising the gettogether is to be shared equally among the attendees

Therefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.

Learn more :https://brainly.com/question/25480062

A cubed shaped water tank has a volume of 729 m3 , one of the walls on the inside will need to be painted, a gallon of paint will cover an area of 15 square meters, the paint can only be bought by the gallon (you can’t buy part of a gallon), how many gallons of paint will be needed to paint one of the walls?

Answers

Answer:  33 gallons

Step-by-step explanation:

The water tank is a cube, with one dimension of x meters. Its volume will be x^3.

X^3 = 729m^3

x = 9 meters.  The cube has 4 side walls and a top and bottom, for a total of 6 interior walls.  Each wall has an area of x^2, or 81 m^2.

(6 walls)*(81 ft^2) = 486 m^2

One gallon of paint will cover 15 m^2.  The conversion factor is (1 gallon/15 m^2)

(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons

I'm taking the ssat upper level on December 11th and really need help with the math section. Are there any tips or help that can be provided?

Answers

Answer:

1, Stay calm

2, be confident

3, if you know the type of questions they are gonna ask practiece those type of questions

Also good luck

pls help me with math no links pls thank you will mark you brainliest

18 points

Answers

Answer:

None of those are the correct answer. The answer is 10.3625

Step-by-step explanation:

So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

Answers

Answer:

8p -12

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose

Answers

Answer:

300 ft^2

Step-by-step explanation:

Multiply 30 by 10

The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, I have 80 feet of fencing.

Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.

∴ 2(l + b) = 80.

l + b = 40.

So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.

We know the product of the sum of two numbers is maximum when the difference between them is minimum.

∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.

Area = 21×19 sq feet.

= 399 sq feet.

learn more about rectangles here :

https://brainly.com/question/15019502

#SPJ5


Help me with this question

Answers

Answer:

Is it for a test

Step-by-step explanation:

Order from least to greatest.
595.05, 595.50, 595.005

Answers

Answer

  595.005, 595.05,595.50 that's from least to greatest. please let me have brainliest

Step-by-step explanation:

595.005 , 595.50 595.05

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,10,13,...

Find the 33rd term.

Answers

The 33rd term of the arithmetic sequence, 7,10,13.... is: 103

Recall:

An arithmetic sequence has a common difference, d, which is the difference between consecutive terms.nth term of an arithmetic sequence is found using: an = a + (n - 1)d, where, a is the first term and  d is the common difference.

The sequence, 7,10,13,... is an arithmetic sequence because:

13 - 10 = 10 - 7 = 3

Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.

Thus:

[tex]a_{33[/tex] = 7 + (33 - 1)3

[tex]a_{33[/tex] = 7 + (32)3

[tex]a_{33[/tex] = 103.

Learn more about arithmetic sequence on:

https://brainly.com/question/4450361

What is 13% of 50% of 329,500,000

Answers

First, multiply 0.5 and 329,500,000 to get 164750000. Then, multiply 0.13 and 164750000 to get the final answer which is 21417500

Answer:

21417500

Step-by-step explanation:

Calculate 50% of the given amount then 13% of result

50% of 329500000

= [tex]\frac{50}{100}[/tex] × 329500000

= 0.5 × 329500000

= 164750000

Then

13% of 164750000

= [tex]\frac{13}{100}[/tex] × 164750000

= 0.13 × 164750000

= 21417500

A baseball tournament begins with 128 teams. After each round of games, only half of the teams are left. How many teams will be left after three rounds of games?

Answers

Answer:

End of round 1:

128 ÷ 2 = 64

End of round 2:

64 ÷ 2 = 32

End of round 3:

32 ÷ 2 = 16

Step-by-step explanation:

Answer: 16

Step-by-step explanation: i think :)

help please its 100 points if u get this right! ty have a nice day !

Answers

Answer:

6 mm²

Step-by-step explanation:

1/2 x 3 x 4 = Area of triangle

=> 2 x 3 = Area of triangle

=> 6 mm² = Area of triangle.

Hoped this helped.

Answer:

It's 15

Step-by-step explanation:

whats the answer????

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).

so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?

I see for example (0, -6) and (4, -7).

to go from the first to the second point :

x changes by +4 units (from 0 to 4).

y changes by -1 unit (from -6 to -7).

the slope a is therefore -1/4.

and the first point i picked gives us also automatically the y-intercept (-6).

so, the line equation is

y = (-1/4)x - 6

Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²

hurry please im timed whoever gets the correct answer ill give brainliest

Answers

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

Simplify the following expression 5(3x + 7)

Answers

Answer:

15x + 35

Step-by-step explanation:

Simplify the following expression 5(3x + 7)

5(3x + 7)=

15x + 35

Answer:

15x + 35

Step-by-step explanation:

5×3x+7×5

=15x+35


Help please ASAP !

Answers

Tha last one PR=XY is not true.

It should be PR=XZ.

IS the square root of 16 rational or irrational and why?

Answers

Answer: It is rational because the square root of 16 is 4 which rational.

Would appreciate brainly <3

Answer:

Rational

Step-by-step explanation:

Because square root of 16 is a whole number, 4.

i think i did this problem wrong can someone help

Answers

Total area of the rectangle = 12 × 24 = 288

The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π

The area of the shaded region is then 288 - 72π.

The probability of picking a point in the shaded region is then

(288 - 72π) / 288 ≈ 0.215

PLEASEEEE HELPOOOOOOO

Answers

Answer:

The answer would be the purple line

and if I am wrong I think it is the red line

Step-by-step explanation:

Because our slope is -2 and the point is (-1,2)

the equation of the graphed line would be [tex]y = -2x[/tex] which is a linear equation

and the formula for the linear equation is [tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept and because we don't have a y-intercept the equation will look like y=-2x

Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6

Answers

Answer:

Ernest is six (B)

Step-by-step explanation:

e + 3e = 24

4e=24

[tex]\frac{4e}{4} =\frac{24}{4}[/tex]

e= 6

GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.

Answers

Answer:

26 degrees

Step-by-step explanation:

The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.

From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.

(soh cah toa)

[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]

Now, just plug in the 2 known values and solve for the unknown:

[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]

The angle is 26 degrees, and you can check that by doing it in reverse:

[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]

Question 1 Two autobody shops charge different rates for repairs. Bobby's Garage charges at a rate described by the equation 'R=250+22t". Sherie's Garage rate is described by the equation 'R=170+30t". In both cases, t' is the number of hours worked and R is the rate charged in dollars. How many hours must pass for the two shops to charge the same amount?​

Answers

Answer:

t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar

Step-by-step explanation:

I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)

" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"

2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.​

Answers

Answer:

i think the answer is 50 if not im sorry if there is another go for that one.

Step-by-step explanation:

I need help with this prom now please and thank youl

Answers

Answer:

cannot

not constant

Step-by-step explanation:

1st rate of change is 5 - (-1) / 4 - 2 = 6 / 2 = 3

2nd rate of change is  15 - 5  / 6 - 4 = 10 / 2 = 5

3rd rate is 29 - 15 / 8 - 6 = 14 / 2 = 7

cannot be modeled into a linear equation

rate of change is not constant

Last weekend, 15% of the tickets sold at Seaworld were discount tickets. If Seaworld sold 40 tickets in all, how many discount tickets did it sell? Use the percent proportion.

Answers

Answer:

6 tickets

Step-by-step explanation:

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