Review the graph of complex number z.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 6, 6).
What is the polar form of z?
6 StartRoot 2 EndRoot(cos(135°) + isin(135°))
6 StartRoot 3 EndRoot(cos(135°) + isin(135°))
6 StartRoot 2 EndRoot(cos(225°) + isin(225°))
6 StartRoot 3 EndRoot(cos(225°) + isin(225°))
Answers
9514 1404 393
Answer:
[tex]6\sqrt{2} (\cos(135^{\circ})+i\sin(135^{\circ}))[/tex]
Step-by-step explanation:
The angle to the point in the second quadrant is measured from the positive real axis (the x-axis). Second quadrant angles are between 90° and 180°, leaving the 135° choices as the only ones that make sense.
The magnitude of z is the root of the sum of the squares of its components:
|z| = √((-6)^2 +6^2) = 6√2
So, the polar form of z is ...
[tex]\boxed{6\sqrt{2} (\cos(135^{\circ})+i\sin(135^{\circ}))}[/tex]
this matches the first choice
Related Questions
Pls Help! Thank you a lot!
Answers
Answer:
D.
If im wrong im sorry
0.18 divided in 3 = 0.06 , its infinite so its D..
Nine hundred people who attended a movie were asked whether they enjoyed it. The table shows the results.
How many more children were surveyed than adults? Enter a numerical answer only.
Answers
Answer:
184
Step-by-step explanation:
I took the amount of children, 461, and subtracted the amount of adults surveyed.
461 - 277 = 184
A total number of 118 children were surveyed more than the adults
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Total number of people who were surveyed = 900 people
Total number of children who enjoyed the movie = 461 children
Total number of adults who enjoyed the movie = 277 adults
Total number of people who enjoyed the movie = 738 people
Total number of people who did not enjoy the movie = 162 people
Total number of adults who did not enjoy the movie = 114 adults
So ,
Total number of children who did not enjoy the movie =
Total number of people who did not enjoy the movie - Total number of adults who did not enjoy the movie
Total number of children who did not enjoy the movie = 162 - 114
= 48 children
Now ,
Total number of children who were surveyed is =
Total number of children who enjoyed the movie + Total number of children who did not enjoy the movie
And , Total number of children who were surveyed is = 461 + 48
= 509 children
Now ,
Total number of adults who were surveyed is =
Total number of adults who enjoyed the movie + Total number of adults who did not enjoy the movie
And , Total number of adults who were surveyed is = 277 + 114
= 391 adults
Therefore ,
Total number of children who were surveyed more than adults =
Total number of children who were surveyed - Total number of adults who were surveyed
Total number of children who were surveyed more than adults = 509 - 391
= 118 children
Hence ,
The total number of children who were surveyed more than adults is 118
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Write the expanded form of the expression. y(0.75+5)
Answers
Answer:
y x (0.75+ 5(
Step-by-step explanation:
You add the numbers in the parentheses which gets you to y(5.75) and then you just multiply to get 5.75y.
A store buys a 12 lb turkey for $15. They want to make a 35% profit on the sale/price of the turkey.
Write two expressions to represent this situation.
Use p as your letter/variable to represent the price of the turkey. Do not use spaces when typing in your expressions. please help i give brainliest! :]
Expression 1:
Expression 2:
Answers
Answer:
p:20
p:25
Step-by-step explanation:
The graphic below shows quadrilateral ABCD and its dilation, quadrilateral A’B’C’D’, with the origin as the center of dilation. The scale factor is .
Which statement about both quadrilaterals is true?
Quadrilateral ABCD is congruent to quadrilateral A’B’C’D’.
The corresponding angles of quadrilaterals ABCD and A’B’C’D’ are congruent.
The corresponding sides of quadrilaterals ABCD and A’B’C’D’ are congruent.
The corresponding angles of quadrilaterals ABCD and A’B’C’D’ are not congruent.
Answers
Answer:
The corresponding angles of quadrilaterals ABCD and A’B’C’D’ are congruent.
Step-by-step explanation:
One of the rules of dilation in geometry is that dilations, no matter what point you are dilating from, will change the angle. Dilations will only ever change the length of the sides.
solve for x: 5x - 3 = 4x + 2
Answers
Answer:
Original: 5x - 3 = 4x + 2
Subtract 4x from each side:
x - 3 = 2
Add 3 to each side:
Answer: x = 5
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST Mrs. Morales wrote a test with 18 questions covering spelling and vocabulary, Spelling questions W) are
worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible
on the test is 100
Part 1 out of 4
Write an equation in slope-intercept form to represent the number of questions on the test
The equation is y
Answers
Here's our data:
15 questions total
Total number of points: 100
Spelling questions are worth 5 and represented by x
Vocab questions are worth 10 and represented by y
Therefore:
x+y=15
5x + 10y= 100
So:
x+y=15
x= 15-y
5x +10y =100
5(15 -y) +10y =100
75 -5y +10y =100
75 +5y = 100
5y=25
y=5
x +y=15
x+5=15
x=10
There are 10 spelling questions and 5 vocab questions
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to the scenario it represents.
Answers
Answer:
im not sure but
Step-by-step explanation:
A goes in C, C goes in D, D goes in A, and B goes in B.
what is the meaning of life? (There is no specific answer to this question, the answer to this question would be a opinion on what life means)
Answers
Answer:
I think that you decide what the meaning to your life is. It really depends on what matters to you as a human being. I think that if your friends are the most important thing to you, then they are probably one of the things keeping you going. Thats why us as a populace value quality relationship over quantity relationships (how good of a relationship over how many relationships), its because deep down we know that we all need that one person or thing that can help us make this world a little less terrible. Stay strong
Step-by-step explanation:
Answer
A question so simple yet impossible to answer, "What is the meaning of life?" Since you asked, I'm going to answer this with my own words. The meaning of life, according to Psychology Today, is to live. It's probably true, but it isn't much of a meaningful answer. What does it mean to "live"? To live happily, to be grateful, what does it really mean? Life has a deeper meaning than this, I know it, well, kind of. Life has to have a deeper meaning, but how would we know what the answer is? This is really confusing, but the answer, for now, could be there is no meaning, which isn't really that good of an answer, but it could be true. But 'Im sticking with "the meaning of life is to live."
__________________________________________________________
Hope this helps! <3
__________________________________________________________
30 POINTS!!!!!
Please awnser all of the questions with the question its asking first. Thank you <3
( Giving Brainlyst )
(I think I'm going to be quitting for a while, so this is my last question for a while.)
EX. Q.What is 2+2?
A.4
Answers
Answer:
458133,3%Step-by-step explanation:
—Math150% x 30 = 150/100 x 30
= 450/10
= 45
45% x 180 = 45/100 x 180
= 405/5
= 81
2/6 x 100% = 100/3 %
= 33,3 %
follow my account^^
Answer:
45
81
33.3%
40%
62.5%
60 is 40% of 150
60 is 150% of 40
45
Pls help I really need it
Answers
Answer:
20
Step-by-step explanation:
Use the equation
45%x=9
Divide by 45% on both sides to get 20
find hcf of 300 and 3996 by division method
Answers
Answer:
12
Step-by-step explanation:
300÷12=25
3996÷12=333
Answer:the answer is 12
Step-by-step explanation:
Mary is planning a party for her brother. She has 36 prizes and 24 balloons. What is the greatest number of children who can attend the party so that each child gets an equal number of prizes and an equal number of balloons?How many prizes and balloons will each child get at the party?Solve the problem using the Distributive Property. Write the equation and show how distributive property was used, along with your final answer
Answers
Answer:
2 balloons and 3 prizes for each child for 12 children
Step-by-step explanation:
I dont really know how to show this in distributive property but thats the answer hope this helped
Answer:
2 balloons / 3 prizes for the 12 kids.
Step-by-step explanation:
I'm not sure on how to do this distributive property work, but i'm pretty sure, from doing my math, that this is the correct answer. Sorry i couldn't help you with this part ;(
Help me solve this please. ASAP
Answers
Several students measured a 25-mm-long nail and wrote the measurements shown in the table below. Whose measurement had the greatest percent error? Round to the nearest percent. (I need help ASAP!! Thanks!! <3)
Answers
Answer:
Step-by-step explanation:
The decibel level of the sound of a monster truck is
Further explanation:
Decibel is defined as a unit which is used to measure the relative loudness or intensity of the sound.
In the question it is given that the intensity of the sound of a monster truck is watts per square inch.
The formula which is used to calculate the decibel level of a sound is as follows:
Here, represents the intensity of the sound of a monster truck and represents the threshold intensity of hearing at .
The value of the threshold intensity of hearing at is watts per square meter.
This implies that the valiue of is watts per square meter.
The intensity of the sound of a monster is given in unit of per square inch.
The relation between per square inch and per square meter is as follows:
So, the intensity of a monster truck is converted into per square meter as follows:
This implies that the value of is watts per square meter.
Now, substitute the value of and in the equation .
The approximated value of the above equation is as follows:
From the above calculation it is concluded that the decibel level of the sound of a monster truck is .
Learn more:
A problem to complete the square of quadratic function brainly.com/question/12992613
A problem to determine the slope intercept form of a line brainly.com/question/1473992
Inverse function brainly.com/question/1632445
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Logarithms
Keywords: Logarithms, sound, intensity, power of sound, watts, decibel, decibel level, monster truck, logarithm function, unit, conversion of unit, square inch, square meter.
if Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles?
Answers
Answer:
24 times
Step-by-step explanation:
i took the quiz
Plz help with these first one gets brainliest
Answers
Answer:
A=(1,6) B=(1,6)
Step-by-step explanation:
Its the absolotle value between them.
Just made a question based on health I'm posting this in the math category so more people can see it since more people do math and barely anyone does health! Much appreciated ty pls check out the question I posted pls
Answers
2) help ASAP due in like 10min
Answers
Answer:
y=25x-5
Step-by-step explanation:
25x is the money you start with and 5 is a constant that you lose per game hence the negative/or subtraction sign
Branliest plsssss
The zoo charges a four dollar admission fee plus an additional two dollar fee for each exhibit you visit which equation below matches the problem situation above
Answers
The Mississippi River is 1,171 miles long. The Ohio River is 981 miles long. How much longer is the Mississippi River? Explain how you got your answer.
Answers
Answer:
Mississippi river is 190 Miles longer.
Step-by-step explanation:
when you subtract 1,171 by 981 you get the answer for your equation.
PLEASE HELP NEEDED FAST
Frederico's checking account balance is -$31, and Neela's checking account balance is -$527. How many times the balance of Frederico's checking account is Neela's checking account balance?
A.
-496
B.
496
C.
17
D.
-17
Answers
527-31= 496
496/16=17
John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.
John's share of the current cell phone bill is $147.50.
Which equation determines how many megabytes of data John downloaded?
A. 90+0.25x = 147.50
B. 90x+0.25 = 147.50
C. 22.5+0.25x = 147.50
D. 22.5x+0.25 = 147.50
Answers
Answer:
C
Step-by-step explanation:
90/4 is 22.5 so one brother pays $22.5 of the flat fee. Because we don't know the number of megabytes John used, and one megabyte is 0.25, that would make is 0.25x.
so the equation it 22.5+0.25x = 147.50
solve for x: 6 + 3x = x - 8
Answers
Answer:
-7
Step-by-step explanation:
6 + 3x = x - 8
6+2x=-8
2x=-14
x=-7
There are 14 apples and 26 oranges in a picnic basket. What percentage of the fruit in the basket is oranges?
Answers
The percentage of oranges in the basket is 65%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of oranges = 26
Number of apples = 14
The percentage of oranges.
= 26/40 x 100
= 65%
Thus,
There are 65% of oranges.
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Help me plz I have headache and cant think
Answers
Answer: y=9
Step-by-step explanation:
Simplifying
7y = 3y + 36
Reorder the terms:
7y = 36 + 3y
Solving
7y = 36 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
7y + -3y = 36 + 3y + -3y
Combine like terms: 7y + -3y = 4y
4y = 36 + 3y + -3y
Combine like terms: 3y + -3y = 0
4y = 36 + 0
4y = 36
Divide each side by '4'.
y = 9
Simplifying
y = 9
Answer:
9
Step-by-step explanation:
On the map of an amusement park on a coordinate grid, the skating rink is at (0.5, −1).
Coordinate grid shown from negative 3 to positive 3 on x-axis and negative 3 to positive 3 on y-axis. There are increments of 1 over 2 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis.
Which of these shows how to plot the point to mark the skating rink?
From the origin, move 1 unit to the left along the x-axis and 0.5 unit vertically down, and place the point.
From the origin, move 0.5 unit to the left along the x-axis and 1 unit vertically down, and place the point.
From the origin, move 1 unit to the right along the x-axis and 0.5 unit vertically down, and place the point.
From the origin, move 0.5 unit to the right along the x-axis and 1 unit vertically down, and place the point.
Answers
Answer:
The last option is correct. "From the origin, move 0.5 unit to the right along the x-axis and 1 unit vertically down, and place the point. "
Step-by-step explanation:
You can move 0.5 to the left to get to the coordinates x, and 1 unit down to the coordinates y.
Answer:
answer is d
Step-by-step explanation:
What is the constant of proportionality for the relationship shown in this table?
x 3 6 9 12
y 1 2 3 4
A.1/6
B.1/3
C.3
D.9
Answers
Answer:
3
Step-by-step explanation:
every time x goes up y multiplies by 3
What is the product?
(-2x-9y2)(-4x-3)
Answers
Answer:
8x^2+6x+36xy^2+27y^2
Step-by-step explanation:
Hello everyone !! I have a couple math questions need answered asap !!!
Here is the first one :
Dilate ∆FUN using the origin as the center of dilation and a scale factor of 1/2 to form ∆F'U'N'.
What are the coordinates of F' ?
I will give crown if there is two correct answers
Answers
Answer:
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 9
4 17
g(x) = 3x + 1
A) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
B) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
C) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
D) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Step-by-step explanation: