Given z1 =9+9/3i and z2 = 2+/3i, what is z2-z1?


8+7/3i


-7-8/3i


7+ 10/3i


-7+ 10/3i

Answers

Answer 1

Answer:

z2 - z1 = 7/3i

Step-by-step explanation:

Given the following complex number:

z1 = 9+i/3i

z2 =  2+i/3i,

Taking the difference

z2 - z1 = 9+i/3i - (2+i))/3i)

z2-z1 = (9+i-(2+i))/31

z2 - z1 = 9+i -2-i/3i

z2-z1 = 9-2/3i

z2 - z1 = 7/3i

Note that the complex number given was not properly written and the ones used were assumed. Same procedure an be used for other complex numbers that might be given.


Related Questions

Determine which transformation took place from f(x) to g(x).

Translation.
Rotation.
Reflection.

Answers

Answer:

mali aaudina so sorry and again please don't asked me

What are the steps to the answer

Answers

For just solving the equation...

Multiply both sides of the equation by 4
-x-8=4x+12
Switch the variable and the constant
-x-4x=12+8
Collect terms
-5x=20
Divide both side by -5
x=-4

The table shows some values of x and y that satisfy the equation y=acosx + b

Answers

Answer:

By an online search, i found that the table is:

x = 0°       30°         60°    90°    120°      150°       180°

y= 10     4+3*√3        7       4       1        4 -3*√3      -2

Where x is in degrees.

And we want to find the value of y, when x = 45°.

And our equation is:

y = a*cos(x) + b

Notice that we have two variables in our equation, a and b, then we need to choose two of the points in the table to write equations.

I will choose te points

x = 0°, y = 10

and

x = 90°, y = 4

Now we can replace these values in the equatio to get:

10 = a*cos(0°) + b

4 = a*cos(90°) + b

We know that:

cos(0°) = 1

cos(90°) = 0

(because of those relationships is that i choosen these points)

Replacing that in the equations, we get:

10 = a*1 + b = a + b

4 = a*0 + b = b

From the second equation, we get:

b = 4

Now we can replace this in the first equation to get:

10 = a + b = a + 4

10 - 4 = a = 6

Then our equation is:

y = 6*cos(x) + 4.

Now we want to find the value of y when x = 45, to do it, we just replace the value of x in that equation:

y = 6*cos(45°) + 4 = 6*(√2/2) + 4 = 8.24

If the number of medical school applicants was estimated to be 35,505,900 in January 2016, and the number of students admitted to medical schools was estimated to be 4% of the applicants, calculate the number of successful applicants.

Answers

Answer:

1,420,236

Step-by-step explanation:

According to the problem, computation of the given data are as follows,

Total number of applicants = 35,505,900

Applicants admitted = 4% of total number of applicants

So, Number of successful applicants = Applicant admitted percent × Total number of applicant

By putting the value, we get

Number of successful applicants = 35,505,900 × 4%

= 1,420,236


[tex] \frac{x { + 1}^{2} }{x - 2 {3}^{3[/tex]

Answers

Answer:

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

write an expression with a constant of -4 and a coeffiecient of 2

Answers

Answer:

2x^2 - 4

Step-by-step explanation:

- A "constant" in an equation is a number that stands alone, with no attached variable or exponents.

- A "coefficient" is a number placed before a variable that is multiplying with the variable. For example, 2 would be the coefficient of 2xy, because it is the number you are multiplying "xy" by.

The equation for bryce's running rate is y=5x and for Laila it is y=8x. Who is running faster?

Answers

Answer:

8x

Step-by-step explanation:

Answer:

I think it is 8x

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Jamari has a Rubiks Cube and the volume is 64 inches The length on one side is
(Blank) inches because (blank)

Answers

4 inches because 4 cubed is 64.


Which option gives the correct equation and description for the line that passes
through the points A(2, -1) and B(2,0).
O A vertical line with the equation x = 2
A horizontal line with the equation y = 2
A horizontal line with the equation x = 2
A vertical line with the equation y = 2​

Answers

Answer:

Step-by-step explanation:

No matter what the value of y is, x = 2. That's exactly what the answer is.

The line is vertical and the equation is x = 2.

A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from the starting location?

Answers

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

Answer:

D

Step-by-step explanation:

183.60

8. (01.05 MC)
Which of the following equations represents the greatest value of x? (5 points)
Equation 1 Equation 2 Equation 3 Equation 4
x2 = 35 x3 = 64 = 125 x2 = 38
x3 =
Equation 1
Equation 2
Equation 3
Equation 4

Answers

equation 4 is the greatest

Answer:
Option C - Equation 3
Step-by-step explanation:
We have given the following equations:
Equation 1
when we solve the equation 1 we get, x= 4.89
Equation 2
when we solve the equation 2 we get, x= 4
Equation 3
when we solve the equation 3 we get, x= 5.29150
Equation 4
when we solve the equation 4 we get, x= 5
From above data Equation 3 has the greatest value of x.

Marcus has different songs on his iPad 84 of the songs he downloaded were free of this number represents 24% of the total number of songs on his iPod how many songs does he have on his iPod

Answers

Answer:

84-24%=63.84

Step-by-step explanation:

Line p has a slope of 6/7. Line q is perpendicular to p . What is the slope of line q

Answers

Answer:

The slope of line q is -7/6

Step-by-step explanation:

To find the slope of a perpendicular line, you need to find the opposite reciprocal. So, flip the fraction (7/6) and then take the opposite, (-7/6).

Hope this helps!

what is this question?
10x – 8x + 2 + 10=

Answers

Answer:

x=-6

Step-by-step explanation:

So you can write this as 10x-8x+2+10=0

Now you have to solve this equation for x

2x+12=0

2x=-12

x=-6

Trey has 75 in his saving account. Each month he deposits 25 into the account. Which expression shows the amount of money that Trey deposits in 3 months.

Answers

Answer: 75 + 25(3)

Step-by-step explanation:

From the question, we are informed that Trey has 75 in his saving account and that each month he deposits 25 into the account.

The expression that shows the amount of money that Trey deposits in 3 months would be:

= 75 + 25m

where, m = number of months

= 75 + 25(3)

= 75 + 75

= 150

help me please. its due soon

Answers

Answer: y = 11

Step-by-step explanation:

first, i collected the like terms.

7y + 9 = 4y + 42

then, i moved the terms.

7y - 4y + 42 - 9

then, i collected the like terms and calculated it.

3y - 33

finally, i divided both sides.

y = 11

Answer:

y = 11

Step-by-step explanation:

-5y + 12y + 9 = 4y + 42

Add like terms on the left side, -5y + 12y.

7y + 9 = 4y + 42

Subtract 4y from both sides.

3y + 9 = 42

Subtract 9 from both sides.

3y = 33

Divide both sides by 3.

y = 11

7th grade math help me please :)

Answers

Answer:

8x+10y cannot be simlified because they do not have a common variable

so until you find the value for x and y u cannot simplify

Answer:8 x+ 10 y can not be simplified .

Step-by-step explanation:

Explanation:This is because the term are not the same.8x has the term x while 10 y has the term y.

Write in slope-intercept form.

Answers

It’s currently in point-slope form. To convert...

y-7=-3/4x-(15/4)
y=-3/4x-15/4+7
y=(-3/4)x+(13/4)

-6p - 20 = -2p +4(1 - 3p)

Answers

Answer:

6

2

0

=

2

+

4

(

1

3

)

6

2

0

=

2

+

4

(

3

+

1

)

2

Distribute

6

2

0

=

2

+

4

(

3

+

1

)

6

2

0

=

2

1

2

+

4

3

Combine like terms

6

2

0

=

2

1

2

+

4

6

2

0

=

1

4

+

4

4

Add

2

0

20

20

to both sides of the equation

6

2

0

=

1

4

+

4

6

2

0

+

2

0

=

1

4

+

4

+

2

0

5

Simplify

Add the numbers

Add the numbers

6

=

1

4

+

2

4

6

Add

1

4

14p

14p

to both sides of the equation

6

=

1

4

+

2

4

6

+

1

4

=

1

4

+

2

4

+

1

4

7

Simplify

Combine like terms

Combine like terms

8

=

2

4

8

Divide both sides of the equation by the same term

8

=

2

4

8

8

=

2

4

8

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

Solution

=3

Step-by-step explanation:

please give me brainliest

James is following this recipe to make flapjacks.
James uses 660 ml of syrup.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
60 g sugar
110 ml syrup
200 g oats
120 g margarine
30 g sultanas

Answers

8 flapjacks needs 110 ml of syrup
660/110 = 6
8 x 6 = 48
James is making 48 flapjacks

Phil has 50 nickels and dimes worth $4.15. Write a system of equations that could be used to determine the number of nickels and dimes that Phil has.​

Answers

Answer:

~~~~~~~~

Step-by-step explanation:

X + Y = 50. Subtract the first equation (X + Y = 50) from this one: Y = 33. Thus Phil has 33 dimes, and 17 nickels.

A group of 169 students needs to be seated in a square formation for a yearbook photo. Solve the equation 169 = s 2to find how many students should be in each

Answers

Answer:

13 students per row

13 rows total

(169\13=13)

Find the x and y values? I'm not really sure how to get y but I can seem to get the x value.

Answers

Y is the same as the X value.

They are vertical angles which are congruent.

Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.

SO you have 71 + 5x -26 = 180

Simplify:

5x + 45 = 180

Subtract 45 from both sides:

5x = 135

Divide both sides by 5:

x = 135 / 5

x = 27

Now you have x solve what that angle equals:

5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees

The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,

so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.

The answers are:

x = 27

y = 109

Find −39÷(−13) help me

Answers

Answer:

3.

Step-by-step explanation:

- / - = +

-39 / -13

= 3

Stuck on this test answer all four

Answers

Answer:

8.) u=12.37

16.) p=75

17.) m=52

18.) n=112

Step-by-step explanation:

u-2.07=10.3

u=12.37

5=p/15

p=75

m/26=2

m=52

n/16=7

n=112

...........................

Answers

Answer:

3

Step-by-step explanation:

There are 48 students in Mrs. Mitra's computer class. At present, the ratio of the number of students to the number of computers in her class is 4 : 1. How many MORE computers does she need to buy to make this ratio 3 : 1?

A. 1 B. 3 C.3 D. 6

please give expiation also




 ​

Answers

Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

Learn more here: https://brainly.com/question/20516142

omg these 3 questions - giving brainliest!!!!!

Answers

The common factor of the first is 16
For the second it is 65.52
And for the third it is 2.265

Answer:

1=1, 2, 4, 8,

2=65.52

3=2.265

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!!!!!!!
There are approximately 33,600 species of fish in the world. About 32,928 species of fish come from the world's three largest oceans and of these, 23,520 species of fish come from the Pacific Ocean.

What is the probability of selecting a species of fish that comes from the Pacific Ocean given that a species of fish is selected from those coming from the world's three largest oceans?

A. 32,928/33,600
B. 23,520/32,928
C. 23,520/33,600
D. 9,408/32,928

Answers

Answer:  B. [tex]\dfrac{23520}{32928}[/tex]

Step-by-step explanation:

Let A = Event that species of fish comes from the Pacific Ocean .

B =  Event that species of fish comes from world's three largest oceans.

To find : P(A |B)

Formula : [tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Here,

[tex]P(B)=\dfrac{32928}{33600}\ \ \ [Probability =\dfrac{favourable\ outcomes}{Total outcomes}][/tex]

[tex]P(A\cap B)=\dfrac{23520}{33600}[/tex]

[tex]P(A|B)=\dfrac{\dfrac{23520}{33600}}{\dfrac{32928}{33600}}=\dfrac{23520}{32928}[/tex]

Correct option : B. [tex]\dfrac{23520}{32928}[/tex]

Answer:

B.

Step-by-step explanation:

geometry b final exam

In a pet shop, there are generally 14 dogs for every 3 cats. How many cats would you expect if there were 98 dogs?

someone plz help me I have until 11:59pm

Answers

Answer:

21 cats

Step-by-step explanation:

98/14=7   7x3=21

Answer:

21 cats

Step-by-step explanation:

98/14=7

7 times 3=21

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