Find the modulus of the following. |9+40i|

Answers

Answer 1

Answer:

41

Step-by-step explanation:

Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².

Given the complex number z = 9+40i

The modulus of the complex number z will be expressed as;

|z| = √9²+40²

|z| = √81+1600

|z| = √1681

|z| = 41

Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.

Answer 2

Answer:

|9+40i| = 41

|-10+24i| = 26

He should have used 13 instead of 13i.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Edge 2021


Related Questions

sarah is drawing a parallelogram abcd on a coordinate plane. the parallelogram has the coordinates A(-7,5) B(6,5) and D(-9,-2). which of the following coordinates should sarah use for point c?
A. (6,-3)
B. (4,-5)
C. (4,-2)
D. (6,3)​

Answers

C (4,-2) is the answer

Answer:

(4,-2)

Step-by-step explanation:

Okay, I figured out the answer...

You need to use the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex] formula.

We know that AB is parallel to CD....(so whatever answer ad is, then cd will have that same answer).

We also know that AD is parallel to BC...(so whatever answer ad is, then bc will be the same).

So we need to find AB, CD, AD, BC. We have to do CD and BC later because we don't have the c.

Find AB: [tex]\frac{5-5}{6-(-7)}[/tex]= [tex]\frac{0}{13}[/tex]= 0

Find AD: [tex]\frac{-2-5}{-9-(-7)}[/tex] = [tex]\frac{-7}{-2}[/tex]

So now that we have the basic ones, we know that AB is parallel to CD. Therefore CD should have the same slope of 0/13 or 0. SO we need to find numbers that combine with the x and y of AB. When they do combine, they should give a fraction of 0/13.

Find CD: [tex]\frac{-2+2}{-9-4}[/tex] ( we already had the -2...what number adds to -2 to make it zero?...positive 2.....Then, we already had -9 from the D coordinates. So what # adds/subs to -9 to make it 13 or -13...well 4 does. Remember to put the correct signs (-+) in the equation. Our answer is 4,-2). If we had to use positive two, then we take the opposite for our answer. We used -4, so we take the opposite for our answer. Then later on, you can plug in (4,-2) into BC to see if you were to get the slope of -7/-2. which you do.

Solve for C please help me if the answer is correct I will mark you as the best answer!?!!!?!!

Answers

Answer:

Option 1

Step-by-step explanation:

When you move the a2-2b to the other side of the equation, their signs change too.

Answer:

option 1 is correct..

Hope it helps

Marli worked 37 hours this week.
She earned $15 per hour. She spent $62 on a
birthday gift for her sister. How much money
does Marli have left?

Answers

Divide it:)) hope that helps

Answer:492

Step-by-step explanation:

What is the value of x in the equation - x - y = 30, when y = 15?

Answers

Answer:

X is 45

X-15=30

X=30+15

X=45

Step-by-step explanation:

i hope that hepled :)

Answer:

-15-y=30

Step-by-step explanation:

x + 27 = 93
what does x =​

Answers

Answer:

x=66

hope this helped :)

So if x + 27 = 93 just subtract 93 from 27 and you will get 76 which is x

1. How do you identify the terms in an expression? 2. How do you determine the coefficient of a term if you don’t see a number in the term?

Answers

i hope you have good luck!!

A term is an expression is a set of constants, variables, and exponents, while the coefficient of a term is the numerical value present in the term.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A term in an expression is a set of constant or numerical values, variables, and exponents. Each term of an expression is differentiated from others by a mathematical operation. For example, in the expression 2x²+6x-5, 2x², 6x, and -5 all three are terms and it is differentiated from others by the '+' and '-' operators.

The coefficient of a term is the numerical value present in the term. Let's understand this with the similar example above.

In term 2x², 2 is the coefficient.

In term 6x, 6 is the coefficient.

Hence, a term is an expression is a set of constants, variables, and exponents, while the coefficient of a term is the numerical value present in the term.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Hello i am a troll >:)

Answers

⊂_ヽ

\\ Λ_Λ

\( ˇωˇ)

> ⌒ヽ

/ へ\

/ / \\

レ ノ ヽ_つ

/ / GOT DAT

( (ヽ

| |、\

| 丿 \ ⌒)

| | ) /

ノ ) Lノ

(_/

( ✌︎'ω')✌︎

(((o(*゚▽゚*)o)))

What is the equation of a line that is perpendicular to y = -1/5x + 1 and passes through point (0, -2)?

Answers

Answer:

y = 5x - 2

Step-by-step explanation:

The slope will be 5, because that is the opposite reciprocal of the original slope, -1/5

Then, plug the slope and the given point into y = mx + b to find b:

y = mx + b

-2 = 5(0) + b

-2 = 0 + b

-2 = b

Then, plug the y-intercept and the slope into the equation:

y = 5x - 2 will be the equation

midpoint of AB with A(-3, 5) and B(1, 7).

Answers

Answer:

(- 1, 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(1, 7) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (- 3 + 1 ), [tex]\frac{1}{2}[/tex] (5 + 7) ] = (- 1, 6 )

The two lines shown intersect at the point (a,b). Find ab. Each unit square in the grid represents a distance of 1.

Answers

Answer:

(9/5, 8/5)

Step-by-step explanation:

First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.

y = 2x - 2

y = 1/3x + 1

Then you do 2x - 2 = 1/3x + 1

Then you do some maths and you get 9/5, and 8/5

Choose the number in which the digit 2 is ten times greater than the digit 2 in 426.

Answers

Answer: 237

Step-by-step explanation:

Ok we can write 426 as:

400 + 20 + 6

Then the 2 in 426 is in the place of the tens and represents a 20.

If we want a number with a 2 that is 10 times greater than 20, we have that:

10*20 = 200.

Then we should find a number with a 2 in the hundreds place, an example can be:

237

where we can write this number as:

237 = 200 + 30 + 7

and the 2 is in the hundreds place.

describe how you can tell by lookin at a graph of a function which variable is the input variable and which is the output variable

Answers

Answer:

The output variable will be on the y-axis, the input variable will be on the x-axis.

Step-by-step explanation:

To create a function, we must an equation in the form of

[tex]Y(x) = kx + b[/tex]

The x-axis of a graph will be what we change in the function. We will get a certain value ([tex]Y(x)[/tex]) that changes when the right side of the function changes. This means that the input of the function will be [tex]x[/tex].

The y-axis of a graph will be what the x-axis makes. In this case, it's [tex]Y(x)[/tex]. This is the output of the graph after given the input.  This means the output is [tex]Y(x)[/tex].

Hope this helped!

What is the value of 1-44|?

Answers

Answer:It would be positive 44

Step-by-step explanation:

Answer:

-43

Step-by-step explanation:

Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2​

Answers

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{(3 {x}^{2} + 2y)(5 {x}^{2} + y)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

Thenafter, Simplify

[tex] \dashrightarrow{ \sf{3 {x}^{2} (5 {x}^{2} + y) + 2y(5 {x}^{2} + y)}}[/tex]

[tex] \dashrightarrow{ \sf{15 {x}^{4} + 3 {x}^{2} y + 10 {x}^{2} y + 2 {y}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}[/tex]

Hope I helped!

Best regards! :D

Sarah has 8 cups of canned tuna for making tuna salad sandwiches. She uses 1/2 of a cup of canned tuna in each sandwich. what is greatest number of sandwiches she can make using 8 cups of canned tuna?

A. 1/8 B.2 C.1/16 D.16 please let me know thank you for your help!

Answers

The greatest number of sandwiches she can make using 8 cups of canned tuna is D...16 sandwiches.

Simplify:
(7y2 + + 3xy - 9) - (2y2 + 3xy - 5)

Answers

Answer:

[tex]\huge\boxed{\sf 5y^2 -4}[/tex]

Step-by-step explanation:

[tex]\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}[/tex]

Find the value of (x) 2x + 2(-3x-5)=26

Answers

Answer:

x = -9

Step-by-step explanation:

Solve for x:

2 (-3 x - 5) + 2 x = 26

2 (-3 x - 5) = -6 x - 10:

2 x + -6 x - 10 = 26

2 x - 6 x = -4 x:

-4 x - 10 = 26

Add 10 to both sides:

(10 - 10) - 4 x = 10 + 26

10 - 10 = 0:

-4 x = 26 + 10

26 + 10 = 36:

-4 x = 36

Divide both sides of -4 x = 36 by -4:

(-4 x)/(-4) = 36/(-4)

(-4)/(-4) = 1:

x = 36/(-4)

The gcd of 36 and -4 is 4, so 36/(-4) = (4×9)/(4 (-1)) = 4/4×9/(-1) = 9/(-1):

x = 9/(-1)

Multiply numerator and denominator of 9/(-1) by -1:

Answer: x = -9

The ratio table below shows the relationship between cups of sauce and servings of spaghetti. Spaghetti Cups of sauce Servings 1 2 2 4 ? 8 10 20 How many cups of sauce are needed for 8 servings of spaghetti? 3 4 6 8

Answers

Answer:

B. 4

Step-by-step explanation:

I need help on math problem ASAP giving brainlist

Answers

Answer:

i'm pretty sure its improper.

Step-by-step explanation:

:) I really hope this helps

i think improper not sure tho

preform the indicated opperation 5 1/6 - -2 2/3

Answers

Answer:

7 5/6

Step-by-step explanation:

Since you're a subtracting a negative, ti cancels each other out and ends up in addition. So it's 5 1/6+2 2/3. And to add fractions the denominators must be the same.

Thus, you multiple 2/3 * 2= 4/6. So 5+2=7.

And 1/6+4/6=5/6.

Therefore the answers is 7 5/6.

16 – 7 + 22–12 + 18-9

Answers

Answer:

16 - 7 + 22 - 12 + 18 - 9 = 28

Hope it helps :)

Which of the following contains examples of ALLITERATION? Question 2 options: “We real cool. We left school.” “We lurk late. We strike straight.” “My soul has grown deep like the rivers.” “I’ve known rivers; ancient, dusky rivers.”

Answers

Answer:

We lurk late. We stike straight.

Step-by-step explanation:

Alliteration is the repetition of the beginning sounds ir letters of words.

Ex: Lucy is lazily laughing.

Sally takes 2 5/6 minutes to drive from her home to the local shopping center. She spends 1/5 of this time waiting at traffic lights. Find the number of minutes she spends waiting.

Answers

Answer:

[tex]\dfrac{17}{30}[/tex] minutes.

Step-by-step explanation:

It is given that Sally takes [tex]2\dfrac{5}{6}[/tex] minutes to drive from her home to the local shopping center.

[tex]2\dfrac{5}{6}=\dfrac{2(6)+5}{6}[/tex]

[tex]2\dfrac{5}{6}=\dfrac{12+5}{6}[/tex]

[tex]2\dfrac{5}{6}=\dfrac{17}{6}[/tex]

She spends 1/5 of this time waiting at traffic lights.

Waiting time in traffic [tex]=\dfrac{17}{6}\times \dfrac{1}{5}[/tex]

                       [tex]=\dfrac{17}{30}[/tex]

Therefore, waiting time is [tex]\dfrac{17}{30}[/tex] minutes.

2x-3y=15 solve and show steps please!!

Answers

Solving for Y:

1) Subtract -2x from both sides: -3y=15-2x

2) Divide by -3 on both sides: y=-5+(2/3)x

Final Answer: y = (2/3)x-5

what is the value of x in the equation 2x + 5 = 21

Answers

Answer:

x=8

Step-by-step explanation:

2x + 5 = 21

Subtract 5 from each side

2x+5-5 = 21-5

2x= 16

Divide each side by 2

2x/2 = 16/2

x = 8

Answer:8

Step-by-step explanation:

2 times eight plus five is 21


Problem is in the picture. HELP asap please!! I’m so confused

Answers

Answer:

A  22w = 1540

B Width = 70 feet

Length = 700 feet.

Step-by-step explanation:

A.  If the width is w then the length is 10w.

Perimeter = 2* (length + width) so

2(10w + w) = 1540

22w = 1540.

B.  22w = 1540

w = 1540 / 22

w = 70 feet.

l = 70 * 10 = 700. feet.

If 10% of * =3, find 20% of *​

Answers

Answer:

6

Step-by-step explanation:

if the 10% is equal to 3 then 20% is

10/3 = 20/x cross multiply

60 = 10x

6 = x

Answer:

6

Step-by-step explanation:

I think the answer is 6 because if 10%=3 and 10 is half of 20, then 3 is going to be half of 6.

Hope this helps!

1.

Next

Expressions: Mastery Test

Select the correct answer from each drop-down menu.

Use the given expression to complete the statements.

58 - 8/3y + 13) - 1

In the first term, 5 is a

In the second term (3y + 13) is a

In the third term. -1 is a

Reset

Next

Answers

Complete question :

Select the correct answer from each drop-down menu.

Use the given expression to complete the statements.

5x - 8(3y + 13) - 1

In the first term, 5 is a

In the second term (3y + 13) is a

In the third term. -1 is a

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression : 5x - 8(3y + 13) - 1

In the first term :

5 a Coefficient, which is the numerical value which exists before and multiplying a variable usually in an algebraic expression. Hence since 5 exists before the variable x, then 5 is the Coefficient of x.

(3y + 13) is a factor in the expression 8(3y + 13), it was used to get a simplified form of the initial expression 24y + 104

-1 is a constant term in the algebraic expression as it has no variable attached to it

In the first term, 5 is a Coefficient,(3y + 13) is a factor in the expression 8(3y + 13)-1 is a constant term in the algebraic expression

Expression and equation

Given expression to complete the statements.

5x - 8(3y + 13) - 1

Given the expression : 5x - 8(3y + 13) - 1

In the first term, 5 is a Coefficient, which is the numerical value that exists before and multiplying a variable usually in an algebraic expression.

(3y + 13) is a factor in the expression 8(3y + 13), it was used to get a simplified form of the initial expression 24y + 104

-1 is a constant term in the algebraic expression as it has no variable attached to it.

Learn more on expression and coefficient here: https://brainly.com/question/17673900

Help!!! Help please! Any help is appreciated

Answers

Answer:

infinity

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Infinity and beyondddd

An item has a listed price of $80. If the sales tax rate is 7%, how much is the sales tax (in dollars)

Answers

Multiplying a listed price by the percent can get you the sales tax, and then you can add.

[tex]80*0.07=5.6[/tex]

(0.07 is 7% converted into a decimal)

[tex]80+5.6=85.60[/tex]

So the item is $85.60 after sales tax.

You may also notice that multiplying the listed price by 1.07 will get you the same answer, without the need to add the sales tax.

[tex]80*1.07=85.60[/tex]

Hope this helps.

頑張って!

Other Questions
who was sir Edward Burnett Prove the statement using the , definition of a limit. lim x 1 4 + 2x 3 = 2Given > 0, we need ---Select--- such that if 0 < |x 3| < , then 2 + 1 3 x 3 ---Select--- . But 2 + 1 3 x 3 < 1 3 x 1 < 1 3 |x 3| < |x 3| < ---Select--- . So if we choose = ---Select--- then 0 < |x 3| < 2 + 1 3 x 3 < . Thus, lim x 3 2 + 1 3 x = 3 by the definition of a limit. What are the advantages and disadvantages to capitalism We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need. As an object in motion becomes heavier, its kinetic energy _____. A. increases exponentially B. decreases exponentially C. increases proportionally D. decreases proportionally Really need help on this!! Choose the correct answer:A) The boy, with the blue shirt opened the door.B) The boy, with the blue shirt, opened the door.C) The boy with the blue shirt opened the door. During renaissance Italy cities became centers for structure of the federal government in the new jersey plan ? Describe the purpose of a scientific investigation. Why is the apostle Paul an important figure in the spread of Chrisianity? What is2+2?I been trying to figure it out, but Im stuck on this question From the list of substances, identify each as a strong acid, strong base, or neither a strong acid nor a strong baseDrag the appropriate items to their respective bins. Strong acid Strong base Neither a strong acid nor a strong baseHNO3 HCl NaCl Ca(OH)2 CH3COOH CH3NH2 CH3OH HF RbOH given the piece wise function show below, select all that are true Which unit would be most appropriate to describe the height of a house?A.meter B.centimeter C. Megameter D. Kilometer how did the us constitution address a weakness of the articles of confederation???? The region that includes parts of Israel, Syria, and Lebanon is called __________. A. Asia Minor B. Cyprus C. Sinai D. Palestine Which polynomial is in standard form?1 + 2x - 8x + OXO 2x2 +6x3-9x+ 126x3 + 5x-3x2 + 22x3+4x2 - 7x+5 Write these numbers in order of size,smallest first:a 8810 m, 8.9 km, 8901 m, 8.821 km,8812 m, 8.8 km 2. "three times the sum of a number and 7.