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

Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles

Answers

Answer:

4.5hours - 4h30 min

Step-by-step explanation:

Doing the math: 225 miles : 50 miles per hour = 4.5 hours

Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min

a glass has a radius of 3. a rectangular tray dimensions are 36 by 24. how many glasses can fit on the tray

Answers

Answer:

24.

Step-by-step explanation:

The diameter of the glass = 3*2 = 6.

So 36/6 = 6 glasses can be fitted along the length,

- and 24/6 = 4 can be fitted along the width of the tray.

So the number of glass that can fit on the tray = 6*4 = 24.

Find an equation of a line with a slope of 6 and having the point (3,5) on the line. Will mark brainliest!

Answers

The equation should be:
Y=6x-13

2. You may submit your answer to question l in essay form here.
(0 points)
If you are unable to submit your answer to question 1 in audio form, you may submit your
answer here.
How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
Prepare your response to this question. When you are ready, you may submit your response as
an audio recording or as a written essay. Be sure to include the following:

Answers

Answer:

I hope this helps

Step-by-step explanation:

Drwa the staright line y = 2x-3

Answers

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

You would start at -3 on the number line and then move up 2 units and 1 unit right since your slope is 2/1

Mrs.bowlin Organise the markers and two sets of staff were nine markers in each is that how many sets of markers did Mrs. Bowlin create

Answers

Answer:

18 sets of markers

A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)

Answers

Answer: 500 i think

Step-by-step explanation:

If 8 km = 5 miles, convert 350 miles into km.

Answers

Answer:

560 is your answer... I hope it helps

Uhm what the person said ^^

Find the nth term for 17,12,7,2

Answers

Answer:

22-5n

Step-by-step explanation:

im stuck on this problem can someone help me? (see photo) ​

Answers

Answer:

I'm thinking the anwer is B

Step-by-step explanation:

I remember doing this problem before :)

3+14 multiplied by a number X

Answers

Answer:

x(3+14)

Step-by-step explanation:

That is how you would write that expression.

Answer:
X(3+14)
Explanation: that’s just it that’s how you do it

solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in

Answers

Answer:

not clear enough

Step-by-step explanation:

y=-2x + 7
y = 5х – 7
Find the solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

y = -2x + 7 y = 5х – 7

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

please help i dont understand this!

Answers

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Step-by-step explanation:

The top line is the payment amount.

The bottom line is the 2% fee.

Let's do the middle columns first.

For any payment amount, the fee is 2%.

To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.

2% as a decimal is 0.02

To find 2% of a number, multiply 0.02 by the number.

The second column has payment amount of $23.50

We need to find 2% of $23.50

2% of $23.50 = 0.02 × $23.50 = $0.47

The third column has payment amount of $64.00

We need to find 2% of $64.00

2% of $64.00 = 0.02 × $64.00 = $1.28

Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.

Let the amount be x.

The fee is 2% of x, so the fee is

0.02x

We set the expression equal to the actual fee and solve for x.

The first column has a fee of $0.25

0.02x = $0.25

x = $0.25/0.02

x = $12.50

The 4th column has a fee of $1.64

0.02x = $1.64

x = $1.64/0.02

x = $82

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Find the x-intercept of y=1/2x-4

Answers

the x intercept is 8

Answer:

X=1/2

Step-by-step explanation:

Y=mx+b

find out of the common factor.
30 and 60​

Answers

Answer:

GCF of 30 and 60 is 30.

Step-by-step explanation:

find the value of x that makes A||B <2= 2x+10 <4=4x+80

Answers

Answer:

2

Step-by-step explanation:

this is the correct answer

estimate the solution of the equation to the nearest while number

7.8 ÷ n = 38.2

n≈35
n≈30
n≈30
n≈20
n≈25

Answers

N=20 “, hope that helped you

PLEASE HELP!!!!! I NEED THE ANSWER SOON
Two systems of equations are shown:



System A System B

3x + 2y = 3 −x − 14y = 1

−2x − 8y = −1 −2x − 8y = −1



Which of the following statements is correct about the two systems of equations?


A.)The value of x for System B will be one-third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.


B.) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.


C.) They will have the same solution because they represent the same lines when plotted on the coordinate axes.


D.)They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

Answers

C. They will have the same solution because they represent the same lines when plotted on the coordinate axes

A backyard swimming pool has two fill pipes and a drain pipe. The pool fills in 9 hours with the first fill pipe. Draining the pool with the drain pipe takes 1 hour longer than filling the pool with the second fill pipe. If all three pipes are open at once, the pool can be filled in 8 hours. How many hours would draining the pool take with the two fill pipes closed?

Answers

I believe the answer is 1? sorry if i’m wrong

you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price

Answers

g = 64.99 - 4.98

Step-by-step explanation:

If g is the original price then if you subtract the difference between the original price and the current price.

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Answer:

See below

Step-by-step explanation:

Missing reasons are:

2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSS

Answer:

2. Reason: Vertical angles theorem

3. Reason: Definition of vertical angles

4. Reason: Third angle theorem

5. Reason: Given

6. Reason: Given

7. Reason: Definition of bisect

8. Reason: SSS

Hoped this helped.

You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)

Up River:
ft:
min

Down River:
ft:
min

Answers

You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.

The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,

28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.

423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.

for more visit https://brainly.com/question/25552839

10 x f(7) +9 x g(-1)=

Answers

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about "-39°C." If the temperature of a block of mercury starts at "-54°C." and increases by 22°C, does the mercury melt?
Explain your answer! Please make sure it’s valid.

Answers

Yes, the Mercury will melt

-54 °C + 22 °C = -32 °C

The very minimum temperature for Mercury to melt is -38 °C, so that additional few degrees will only speed up the process of Mercury melting.

What is 2.4 divided by 1.2?

Answers

Answer:

Your answer should be 2.

The answer would be 2

can someone help me with this problem?

Answers

Answer:

B) f^-1(x)=3-5x

Step-by-step explanation:

y=3-x/5

rearrange the equation so you have x variable on the left side

5y=3-x

+x     +x

5y+x=3

-5y      -5y

x=3-5y

so answer is b)

f^-1(x)=3-5x

HELP PLEASE ITS HARD

Answers

Answer:

the answer to your question is 9cm² for the Area

the answer is 9 cm square

Can someone pls help me...

Answers

It is not a function and that is becuase a vertical line would pass through it twice

Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it up The shelf hits the ceiling. Why does it hit the ceiling

Answers

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

Learn more here:

https://brainly.com/question/9702103

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