How do you compare complex numbers with real numbers?

Answers

Answer 1

Complex numbers and real numbers cannot be directly compared as they are from different number systems.

Complex numbers have both a real and an imaginary component, whereas real numbers only have a real component. However, you can compare the magnitudes (absolute values) of complex numbers with real numbers.

The magnitude of a complex number is the distance from the origin in the complex plane, represented by the absolute value or modulus of the complex number, which is always a positive real number. By comparing the magnitudes of complex numbers, you can determine which one is larger or smaller.

For example, the magnitude of 3 + 4i is 5, and the magnitude of 2 + 3i is 3.5. Therefore, 3 + 4i has a larger magnitude than 2 + 3i.

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Related Questions

Someone plz help me I will give brainliest:)

Answers

"If we leave now," she said. "We'll be right on time."

"Do you have dear Mr. Henshaw? Alice, ask the clerk."

Blvd.

add ness to strange making it strangeness

I think that the broken tv is the subject

Answer:

1) "If we leave now" she said, "We'll be right on time.

2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.

3) blvd.

4) Er (Strang-er)

5) Television

Step-by-step explanation:

Hope this Helps!!

:D

Write a function rule to describe this statement-

A model is %60 of the size of the real item.

Answers

Answer:

let the size of the real item be x

then the size of model as prodived will be =

60% of X

60/100 × X

=3X/5 .

someone please help ​

Answers

Answer:

x = 4√3, or approximately 6.93

Step-by-step explanation:

This is a right triangle with hypotenuse 13 and side lengths x and 11.  According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or

x^2 + 121 = 169, or

x^2 = 48.

x must be a positive quantity.  Thus, x = +√48 = + √3·√16 = +4√3

Thus, x = 4√3, or approximately 6.93

If the length of a basketball court is 32 meters and the width is 9 meters, what is the diagonal of the basketball court? Round to the nearest tenth, if needed.

A. 33.2

B. 23

C. 30.7

D. 41

Answers

do 32 times 9 and i think you get the right answer

Answer:

the answer is a

Step-by-step explanation:

The art club is designing a rectangular mural for the school hallway. Three
corners are located at (-1,-1),(-1, 1), and (4.1) on a coordinate plane. Find the
fourth vertex and graph the rectangle on the coordinate plane below.
Fourth vertex:

Answers

Answer:

The coordinates are (50, 103)

Step-by-step explanation:

The three hallways are AB, BC, CD.

The co-ordinate of D is (50, 75).

The school's flagpole is 28 meters right of the point D.

Hence the y-coordinate for the flagpole will be same as D, that is 75.

The x-coordinate will be (28 + 75) = 103.

The location of the school's flagpole will be represented by (50, 103)

The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as S

Let the rectangle be represented as ABCD

The coordinates of A = A ( -1 , -1 )

The coordinates of B + B ( -1 , 1 )

The coordinates of C = C ( 4 , 1 )

So , the length of the rectangle = 4 units

The width of the rectangle = 2 units

So , the area of the rectangle S = 4 x 2 = 8 units

And , the 4th vertex of rectangle D = D ( 4 , -1 )

Hence , the coordinate D of rectangle is D ( 4 , -1 )

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The length and breadth of a rectangular room are 5m and 3.2m. Find the cost carpeting the room at the rate of $500 per square metre

Answers

The answer is 800 bc it is

Find the solution of the system of equations.

6x+y=30

−2x−5y=18

Answers

Answer:

Step-by-step explanation:

6x + y = 30

-6x - 15y = 54

-14y = 84

y = -6

6x - 6 = 30

6x = 36

x = 6

(6, -6)

i am finding the volume of a shape, the area is 20mm and the length is 5cm what is the answer?​

Answers

Answer:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.

Different Ways to Find Volume

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...

Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...

Solve for Volume by Displacement.

Step-by-step explanation:

A(n)______ contains variables,numbers, and at least one operation.

Answers

Answer:

algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.

Step-by-step explanation:

Answer:

expressions

Step-by-step explanation:

this is how a definition in a textbook would be written. they just put a blank in

Which linear inequality best represents the graph?

Answers

Answer:

[tex]3x - 4y \geqslant - 12[/tex]

Step-by-step explanation:

[tex]3x - 4y \geqslant - 12[/tex]

[tex] - 4y \geqslant - 3x - 12[/tex]

Y <= 3/4X +3

Marsha went shopping at Best Buy and spent $75.25. If the sales tax was 8.75%, how much was her total bill?

Answers

Answer:

The answer is 81.834375

Step-by-step explanation:

Hope this helps

Answer:

$81.83

Step-by-step explanation:

Amount spent: £75.25

Sales tax: 8.75%

1% of 75.25 = 0.7525

0.7525 x 8.75 = 6.584375

75.25 + 6.584375 = 81.834375

As this question involves money it needs to be rounded to 2 decimal places:

$81.83

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and one 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink?

Answers

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

HELP PELASE ASAPppppp

Answers

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 11, 20, ...

Answers

Answer:

arithmetic, 9, 1.8181818181818

Step-by-step explanation:

it is arithmetic, because it is adding by 9 every time.

I don't know what they mean by simplist form, but thats what 20/11 equals.

Answer:

yes yes wainth inde Windows

Write the equation of the line that passes through (4, -6) and (8, 10)

Answers

Answer:

Line equation: y=4x−22

Slope: 4

Intercept: -22

Step-by-step explanation:

Your store cost on a dozen eggs is $0.75, and your retail price is $2.99. You are having a promotion that discounts the
eggs 10%. What is your margin on the discounted eggs?

Answers

Answer:

$1.94

Step-by-step explanation:

The Margin on the discounted eggs is $2.392.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Store cost on a dozen eggs is $0.75,

and retail price is $2.99.

The amount of discount is 10%

Discount given on $2.99

= 10% of 2.99

= 0.1 x 2.99

= 0.299

Cost of eggs after discount =2.99-0.299= 2.691

So, The discounted eggs costs $2.691.

Hence, The difference in store cost and discounted cost = 2.691- 0.299                      

                                                                                               = $2.392

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What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.

Answers

The answer is 20 degrees

Answer:

the anwser is (60-50)

Step-by-step explanation:

took the test

Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16

Answers

Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

4*m + 4*4

Factor out 4

4(m+4)

An arc is 70.7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle

Answers

Answer:

36.008 or 36

Step-by-step explanation:

Use the equation for the length of any circular arc  

s = r(radians)  

s - length of a circular arc

r - radius  

radians - radian measure of the central angle  

Then, set-up the equation:  

s = r(radians)

70.7m = r(5pi/4)  

Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:  

r = 70.7m x 4/5pi  

then solve for r  

r = 282.8/5pi = 18.004  

The radius is half the diameter therefore just multiply the radius by 2  

d = 18.004 x 2  

= 36.008 or 36  

The diameter of the circle is 36 meters.

What is an arc?

The arc is a portion of the circumference of a circle.

We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.

We have to determine the diameter of the circle

For the length of the circular arc, use the equation.

⇒ 70.7 m = R(5π/4)  

Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:

⇒ R  = 70.7 m × 4/5π

⇒ R = 282.8/5π

∵ π = 3.14

⇒ R = 282.8/5(3.14)

⇒ R = 18.004  

Since the radius is equivalent to half the diameter, simply double the radius by 2.  

⇒ D = 18.004 × 2  

⇒ D = 36.008 ≈ 36  

Hence, the diameter of the circle is 36 meters.

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Sandy has 10 roses, 2 daisies, and 8 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Answer: The greatest number of flowers that could be in a bouquet = 2

Step-by-step explanation:

Given: Sandy has 10 roses, 2 daisies, and 8 tulips.

Each bouquet has the same number of flowers and the same type of flower.

The greatest number of flowers that could be in a bouquet = GCD (10,2,8)

Since 10=2 x 5, 8 = 2 x 2 x 2

GCD (10,2,8) =2

Then, The greatest number of flowers that could be in a bouquet = 2

Drop the answer- or i'll drop ur ip peanuts :) <3

Answers

Step-by-step explanation:

-18x -14 = - 68

=> -18x = -68 + 14

=> -18x = -54

=> 18x = 54. ['-' on both sides gets cancelled]

[tex] = > x = \frac{54}{18} [/tex]

=> x = 3 (Ans)

Solve: 1/3(9x + 12) = 15

Answers

Answer:

Do u still need help

Step-by-step explanation:

Answer:

x = 11/3  

Step-by-step explanation:

1/3 (9x + 12) = 15

3x + 4 = 15

3x = 11

x = 11/3

can some one write a system for all of these? it would really help me rn :(

Answers

Answer: 36 and 56

Step-by-step explanation: the sum of two numbers translates into x + y = 92

If the difference would be 0 then the numbers would be equal.

Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.

Let’s make x bigger so x-y=20. You can go two ways with this.

Either x=20+y because when passing one term from one side to the other you can change the sign.

Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.

Let’s go with y=x-20.

Now we replace this in the other relation:

X + Y = 92

X + (x-20) = 92

X + X - 20 = 92

2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56

Y = x - 20 ==> y = 56 - 20 ==> y = 36.

If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.

Hope this helps☺️

Which angle in the graph is vertical to ABI?

Answers

the angle that is vertical to ABI is EBH

Which relation is a function?


{(3, 4), (3, 3), (1, 2), (1, 5)}

{(1, 4), (1, 3), (1, 2), (1, 1)}

{(1, 3), (2, 6), (3, 9), (4, 12)}

{(3, 4), (2, 4), (5, 1), (3, 5)}

Answers

Answer:

the 3rd one

Step-by-step explanation:

because it's in a pattern

Answer:

3rd.

Step-by-step explanation:

Five friends share 6 snacks equally.
How many fruit snacks will each friend get?

Answers

Each friend gets one and one fifth. (1 1/5)

Answer:

A

Step-by-step explanation:

Can someone explain how to do this?

Answers

i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!

you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.

Plzzzzz help need fast if cannn plzzz

Answers

Answer:

D) 2.1

Step-by-step explanation:

HOPE IT HELPS YOU

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

Answer: 2.1 I think please don’t be mad if I’m wrong

Step-by-step explanation:

‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5

Answers

Answer:

C

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

Raon has a pitcher that holds three and seven-hundredths liters of orange juice.

If he divides the juice equally into ten glasses, how many liters of juice will be in each glass?


Choose all the correct answers

0.307

3 x 1 x 7 x 1/100


3 x 1/10 + 7 1/1000


3 x 100 + 7 x 1/ 1000


3.07


3 x 1/10 + 7 x 1/100

Answers

Answer:

A

Step-by-step explanation:

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