(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form

Answers

Answer 1

Answer:

Step-by-step explanation:

9+12i+3zi+4zi²-(9-6i+3zi-2zi²)

= 9+12i+3zi+4zi²-9+6i-3zi+2zi²

= 18i+6zi²

= i(18+6zi) or 6i(3+zi)

i hope this is the anwer you're looking for


Related Questions

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

What is the equation of the following graph

Answers

Answer:

y=1 is the equation! :))

Step-by-step explanation:

Evaluate the expression for z = 3.

z2

Answers

Answer:

6

Step-by-step explanation:

z=3

z2= 3*2 = 6

Good luck

At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Winner is paid :

Monthly pay while on tour = $5000

Pay per CD sold =. $2

A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.

(Monthly pay * number of months) + (pay per CD * number of CD's)

Earning = 5000m + 2n

B) How much will the winner earn after the first month if 500 CDs are sold?

m = 1, n = 500

5000(1) + 2(500) = $6000

C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?

m = 3

74000 = 5000(3) + 2n

74000 = 15000 + 2n

74000 - 15000 = 2n

59000 = 2n

n = 59000 / 2

n = 29500 CD's

D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

n = Gold = 50000 ; m = 6

5000(6) + 2(50000)

30000 + 100000 = 130,000

Please help me idk this

Answers

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41

Use the graph to find the midpoint between O and H.
(4, -1)


(-2, 8)


(8, -2)


(-1, 4)

Answers

Answer:

(-1, 4)

Step-by-step explanation:

-5+3/2 = -1

6+ 2/2 = 4

(-1, 4)

a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

Answers

Step-by-step explanation:

hope this helps you!! :))

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

To know more about angle click here

https://brainly.com/question/7116550

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Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?

Answers

The percentage is 70%

MARKING BRAINLIEST, PLEASE HELP.

In order for the picture frame to fit together where both pairs of opposite sides are parallel, what must the sum of x and y be?

Answers

Answer:

360 degrees

Step-by-step explanation:

a rectangle has a total of 360 degrees and all the x and y values are at the corners so...

5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes

Answers

the answer is (x,y) = (4/51 - 8/51)

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

what is the explicit formula for this sequence? -8, -3, 2, 7

Answers

Answer:

an+9n-11

Step-by-step explanation:

2÷5 × -4 what Is the answer please? ​

Answers

Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has

$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for

writing the check?

Answers

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

plz help i dont know the answer

Answers

Answer:

Im not 100 percent sure but I think you have to do this

Step-by-step explanation:

Add all numbers together to find total students

Then add the students in Chemistry and Physics and both together

Then find what that number is in percent to the total students

Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12

Answers

The fitness gram pacer test is a multistage aerobics test

Please help Math answers

Answers

Answer:

on example 1, both are right triangles.

For the following right triangle, find the side length x.​

Answers

Answer: 37

Step-by-step explanation:

Use A squared plus b squared equals c squared.

1. 35 squared is 1,225.

2. 12 squared is 144.

3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?

Well the square root of 1,369, that's 37.

What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%

Answers

Answer:

its answer C 2.1%

Step-by-step explanation:

Will Give Brainliest if Correct

Answers

Answer:

(a) 0

(b) -3/26

Step-by-step explanation:

(a)

We essentially plug 1 in for x and 2 in for y.

Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]

So, the answer for part (a) is 0.

(b)

Again, we're now plugging in 1 for x and 5 for y:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]

So, the answer for part (b) is -3/26.

Evaluating Rational Expressions

Step-by-step explanation:

So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.

Solution of a:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]

Answer of a:

[tex]0[/tex]

Solution of b:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]

Answer of b:

[tex]-\frac{3}{26}\\[/tex]

What Is 2+4? I need to know.

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6! Hope this helps have a great night!!!!

Step-by-step explanation:

May I plz have brainliest?

Please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................

A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?​

Answers

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.


(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.

Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math

Answers

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

what is the answer to

-6+n=6
How do you solve it

Answers

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

You have to leave the n by its self so u have to do the opposite of the sign -6 =6 so add the 6 to the other side which gives you 12 so n=12

The price of Stock A at 9 A.M. Was ​$14.67. Since​ then, the price has been increasing at the rate of ​$0.08 each hour. At noon the price of Stock B was ​$15.17. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Price of Stock A at 12 : 00 A.M. is :

A = 14.67 + 0.08×3

A =  $14.91

Price of Stock B at 12 : 00 A.M. is :

B = $15.17

Let, after x hours price are same :

[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]

At, 1 : 13 P.M both stocks have same prices.

Hence, this is the required solution.

$1000, 2%, 9 months what is the simple interest​

Answers

Answer:

principal =1000

time=9

rate=2%

or simple interest = p×t×r/100

= 1000×9×2

=Rs.18000

Answer:

$180

Step-by-step explanation:

Turn 2% to 0.02 then make the formula

1,000*0.02*9=180

A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybrid car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline?

Answers

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

Please help i’m having a hard time answering it

Answers

So we know 5ft to 1cm then
4x5=20ft
6x5=30ft

Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response.

Answers

Answer:

The answer is "More accurately is the left hand".

Step-by-step explanation:

In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.

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