what is the modulus of the complex number -4+3i

Answers

Answer 1

The modulus of the complex number -4+3i is 5.

Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,

A complex number is a number of the form a + bi, where a and b are real numbers.

The modulus (z) of a complex number x + iy is given by:

z = √(x² + y²)

The modulus of the complex number -4+3i is:

[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]

Find out more on complex number at: https://brainly.com/question/2218826


Related Questions

given: 4x=12x+32 prove: =-4

Answers

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

Answer:

True, see attached photo, if this helped you please give Brainliest

Step-by-step explanation:

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

Answer:

I believe Descartes

Step-by-step explanation:

René Descartes was  one of the key figures in the Scientific Revolution of the 17th Century.  

Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6

Answers

Answer:

B: 6x+2

Step-by-step explanation:

hope this helps :)

The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.

The length of the patio is meters.

Answers

Answer:

6 1/2

Step-by-step explanation:

21 1/8 divided by 3 1/4

Put into improper fractions

169 / 8 divided by 13 / 4

Multiply by the reciprocal

169 / 8 x 4 / 13

= 6 1/2

how do i write 125 as a repeated multiplication of 5s

Answers

Step-by-step explanation:

Multiply 5 by itself until you get 125.

Will give brainly,5 stars,and thanks

Answers

Answer:

Give the person above me brainliest

Step-by-step explanation:

What is the slope of the line

Answers

The answer is 4/6 .

1. How many small squares are in Step 10?

Image below

A. 10
B. 11
C. 90
D. 110

Answers

Answer:

110 squares

Step-by-step explanation:

= 10 x 11

= 110 small squares.

From the question,

Step one : • • = 1(2) small squares

Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares

• • •

Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares

• • • •

• • • •

Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?

Answers

Answer:

Expected score with 1 hour of homework

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+6y=-42

Answers

Answer:

y = -1/2x + 7

Step-by-step explanation:

3x + 6y = 42.  Put everything except the y term on the right hand side, so subtract 3x from both sides.

6y = -3x + 42.  You want 1y by itself, so divide everything by 6.

y = -1/2x + 7

ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.

Answers

The slope of B'C' is 1 and it can be determined by using formula of scale factor.

Given that,

ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

We have to determine,

What is the slope of B'C'?

According to the question,

ABC is an isosceles right triangle in which,

Slope of AB = -1

And AB is perpendicular to BC.

When the two lines are perpendicular to each other then,

[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]

ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.

Length of Line segment A'B'= 1.8 × AB

So, the slope of the two-line Segment that is AB and A'B' are the same.

Slope of A'B'= -1

Length of Line segment C'B'= 1.8 × CB

So, the slope of the two lines that is CB and C'B' are the same.

The slope of B'C' is 1.

Hence, The required slope of B'C' is 1.

For more details Slope refer to the link given below.

https://brainly.com/question/8102490

Answer:

Slope of 1

Step-by-step explanation:

C.  1

Find the x and y-intercepts of y= 2/5x-12​

Answers

y intercept is -12
then find points when going 2 up on the y and 5 over right on the x axis

Please I need help asap

Answers

Answer:5/5 then 10-7 then 6/2

Step-by-sanation:

Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?

Answers

In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:

5184000 possible ways

in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:

[tex]24*24*10*10*10*9=5184000[/tex]

See more about possibilites at brainly.com/question/488013

The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.

Answers

Answer:

130% increase

Step-by-step explanation:

(322-140)/140(100)=130% increase.

(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)

cross multiply, and you get 130%.

Need help please. High school Geometry

Answers

Answer: last one

Step-by-step explanation:

 1. What do you think it means when the change is positive? Negative?

2. What do you think it means when the inventory is positive? Negative?

Answers

A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.

What is an inventory?

An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.

A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.

Learn more about inventory on:

https://brainly.com/question/1180423

Is squirrel?
??????????????????????????????????????????????????????????????????????????????????

Answers

Answer: yes squirrel is ?????

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

two more and that it 30 + 30 × 30 + 20 ÷ 20

Answers

Let's see

30+30×30+20/2030+30^2+131+900931

Done!

Plz answer ASAP. Find the volume of the same shape

Answers

Answer: 17m+19

Step-by-step explanation:

hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0

solve the problem by dividing it into full squares:
x²-8x-8=0​

Answers

this will be the answer

1: x=-4 or x=-3 and the second can be shown clearly

Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?

Answers

Answer:

62.273  

Step-by-step explanation:

sorry it took me a little while to translate i speak only english

Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true

Answers

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles. On the Venn diagram, which region(s) represent the intersection of Set A and Set B (Aâ©B)? II I and III I, II, and III I, II, III, and IV.

Answers

The intersection of sets is the point that represents the common point of multiple sets.

The region that represents the intersection of sets A and B is region II.

From the question, we understand that sets A and B have a common set element at II.

This means that region II is the intersection of both sets.

Hence, the region that represents the intersection of sets A and B is II.

Read more about set intersection at:

https://brainly.com/question/6779867

Answer:

II is the answer

Step-by-step explanation:

Edge 2022

I need help plzzzzz!!!!!!!!

Answers

Answer:

100.73

Step-by-step explanation:

Area of Rectangle=140

Area of Semi-Circle=39.27

Area of Rectangle-Area of Semi-Cirlce=100.73

PLEASE HELP
Classify each sequence as arithmetic, geometric or neither:

1.) -1/16, 1/4, -1, 4, -16, …
2.) -5, 10, -15, 20, -25, …
3.) 65, 52, 36, 26, 13, …

[] Neither
[] Arithmetic
[] Geometric

Answers

Answer:

1. ARITHMETIC

2. NEITHER

3. GOEMETRIC

#Carryonlearning

Someone help me with this math question?

Answers

Answer:

B and D

Step-by-step explanation:

B. D. Are the correct ones

What is the percent of change from 46 to 69?

Answers

Answer:

percent of change =0.5

Step-by-step explanation:

x1=46 x2=69

(x2-x1) / x1

69-46 = 23 / 46 = 0.5

Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.




The distance is about

miles.

Answers

The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)

The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.

We know the location of the stadium, [tex]S=(-6,6)[/tex]

The point of intersection can be obtained by solving the simultaneous equations

[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]

since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]

[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]

Substitute this value of [tex]x[/tex], into the equation for Pine avenue

[tex]y-2x-12\\=2(6)-12\\=0[/tex]

The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]

To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,

[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]

The distance is [tex]13.4miles[/tex]

Learn more about coordinate geometry here: https://brainly.com/question/15318780

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