Find all polar coordinates of point P where P = (9,pi divided by 5).

Answers

Answer 1

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n


Related Questions

How would I find the size of angle x

Answers

Answer: the answer would be 7

Step-by-step explanation:

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write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Answers

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (-3,-6) and (2,-2). So, the equation of line is

[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]

[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]

Subtract 6 from both sides.

[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]

Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].

I need help plz answer this

Answers

Answer: A. (5)(5x+2y)

Step-by-step explanation:

There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?

Answers

Answer:

7:4

Step-by-step explanation:

11-7=4

7:4

The ratio of old books to the new books is new : old = 7 : 4.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, There are 11 books on a shelf, and 7 of these books are new.

So, The number of old books are (11 - 7) = 4.

So, In the self there is 7 new books and 4 old books.

Therefore the ratio of new books to old books,

new books : old books = 7 : 4.

learn more about proportion here :

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Helppp !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Hahhahaha

What’s the Coefficient in 3+2x

Answers

Answer:

2

Step-by-step explanation:

The coefficient is the number attached to the variable. In this instance, it is two.

Answer:

A coefficent is: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression...(e.x. 4 in 4x).

Step-by-step explanation:

What is the value of s?
units

Answers

15^2+8^2=x^2. So x is either -17 or 17. But put in 17 for the more accurate answer

what is the missing term in the quadratic expression below?

(2x-3)(x-4)=2x^2+____ -12

Answers

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor f(x)=x^3+2x^2-x-2. f(x)=x3+2x2−x−2 f ( x ) = x 3 + 2 x 2 - x - 2.

what is -8 + x = 13
i don't get this i need help

Answers

Answer:

21

Step-by-step explanation:

this is because you take 13 and minus it by -8 like this:

13--8=x(21)

Logan invested $80,000 in an account paying an interest rate of 1\tfrac{1}{4}1 4 1 ​ % compounded monthly. Leah invested $80,000 in an account paying an interest rate of 1\tfrac{7}{8}1 8 7 ​ % compounded continuously. After 17 years, how much more money would Leah have in her account than Logan, to the nearest dollar?

Answers

Step-by-step explanation: 5.6+3.7=8.13-13=0

How to do this question plz ​

Answers

9514 1404 393

Answer:

  22%

Step-by-step explanation:

If Denver gets 2/19 of the food, then Engle and Fido share the remaining 17/19 of the food.

If Engle and Fido share their food in the ratio of 6:2, then Fido's share is 2/(6+2) = 2/8 = 1/4 of the portion they have.

Fido's share of all the food is then (1/4)(17/19) = 17/76.

As a percentage of the whole, that is ...

  17/76 × 100% ≈ 22%

symplify the expression 3⁴÷3⁹. Select all that apply.​

Answers

Answer:

C and D

Step-by-step explanation:

When you divide exponents with the same base, you just subtract the exponents.

3^4 / 3^9

4-9 = -5

3^-5

That can be rewritten into 1/3^5 and 1/243.

How many 9 digit numbers have their first and last digits even?

Answers

There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).

Answer:  200,000,000.

we have 9 spaces we need to fill in

There are 10 total numbers(0–9)

There are 5 even numbers(0,2,4,6,8)

fill from left to right

u cannot start with 0 so pick another number 2,4,6,8 any of those

4*10^7*5= 20*10^7 = 2*10^8

200,000,000.

Represent the following expression as an algebraic expression where a number is the letter x ; a number is subtracted from 4

Answers

Answer:

4-x

Step-by-step explanation:

since x is a number given and it should be subtracted from 4.

I just need help wit this quick question

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A triangle is acute if its largest angle is acute.

A triangle is obtuse if its largest angle is obtuse.

A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.

Answer:

Step-by-step explanation:

Yes they do contradict

Acute means less than 90 while obtuse means more than 90.

Both can't exist for the same triangle at the same time.

74+(-91)x27=?

answer​

Answers

Answer:

[tex] - 2383[/tex]

Step-by-step explanation:

[tex]74 + ( - 91) \times 27 \\ 74 + (- 2457) \\ - 2383[/tex]

The result of your answer is -2383

2 (MC) Explain how the Quotient of Powers was used to simplify this expression. (2 points) 25 = 22 By finding the quotient of the bases to be 1 4 and cancelling common factors F O By finding the quotient of the bases to be 1 4 and simplifying the expression O By simplifying 8 to 23 to make both powers base two, and subtracting the exponents O By simplifying 8 to 23 to make both powers base two, and adding the exponents 3.(MC)​

Answers

Answer:

Explain how the Quotient of Powers was used to simplify this expression. (2 points) 25 = 22 By finding the quotient of the bases to be 1 4 and cancelling common factors F O

Step-by-step explanation:

By finding the quotient of the bases to be 1 4 and simplifying the expression O By simplifying 8 to 23 to make both powers base two, and subtracting the exponents O By simplifying 8 to 23 to make both powers base two, and adding the exponents 3.(MC)​

If -3c/4=24, what is the value of c/2?

Answers

Answer: look it up lol

Step-by-step explanation:

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PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!

Answers

Answer:

The slope is -4

-4/1=-4

Hope this helped

Answer:

-4

Step-by-step explanation:

To find slope, subtract the y's and x's in the same order. We put y's on the top and x's on the bottom. The points are (-3, -4) and (-2, -8).

The y's are -4 and -8. The x's are -3 and -2.

-4-(-8)=4

-3-(-2)  -1

The slope is -4.

Hope this helps you...have a great day (~ ̄▽ ̄)~

A youth club organizer is plannning a day trip for the club members. The cost of the trip is $330 and club has already saved $75. the price of a ticket for the trip is $x and there are 21 people going on the trip. give an inequality in terms of x to determine the price of each ticket if the cost of the trip is to be completely funded​

Answers

Answer:

Step-by-step explanation:

330 = 21x + 75

The price of a ticket for the trip $x is 12.14 dollars.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the cost of the trip is $330 and the club has already saved $75. the price of a ticket for the trip is $x and 21 people are going on the trip.

Therefore,

The cost of the trip = is $330

The club has already saved = $75.

the price of a ticket for the trip = $x

Thus, the equation becomes as;

330 = 21x + 75

Solving;

21x = 330 - 75

21x = 255

x = 12.14

Hence, the price of a ticket for the trip $x is 12.14 dollars.

Learn more about equations here;

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Pls help me this is so hard can someone help me.

Answers

Answer: 4x+8=12

Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader

what the slope of(7,3) (6,-2)​

Answers

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[tex]slope = \frac{ - 2 - 3}{6 - 7} \\ [/tex]

[tex]slope = \frac{ - 5}{ - 1} \\ [/tex]

[tex]slope = 5[/tex]

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What is the predecessor and successor of 9,852

Answers

Answer:

Predecessor: 9851

Successor: 9853

Step-by-step explanation:

The predecessor of a number is 1 less than it.

The successor of a number is 1 more than it.

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Answer:

which one of these is a valid for balance

5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?

Answers

Answer:

25 times

Step-by-step explanation:

If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish

The proportion is therefore 5/12

In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.

Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years

To check if we are correct, we check the proportion to see if it still evaluates to 5/12

25/60= 5/12 when reduced to lowest terms

Please help !!! I’m confused

Answers

6x-21=105

+21. +21

6x=126

×=21

21y=75

Divide 21 from 75

Y= 3.6

what is the answer to (3^4)^4​

Answers

Answer:

3^16

Step-by-step explanation:

A 3-foot rain barrel is being filled from the runoff of a roof. The barrel has already collected 2.75 feet of water. For
every additional inch of rainfall into the barrel, the level of water in the rain barrel rises by 0.75 inch.
What is the y-intercept of the linear model representing the change in height of water, in inches, based on the
rainfall, in inches?

Answers

ssssssssssssssssssssssssssssss

Brain teaser I will give lots of points for THIS!!!

Answers

Answer:

46???

Step-by-step explanation:

apples: 10

bananas: 6

oranges: 6

soo im guessing 10 + 6 x 6 = 46?????

A coat factory had seven coats. If they wanted to put them into two boxes, with t same number of coats in each box, how many extra coats would they have left over?​

Answers

Answer:

1

Step-by-step explanation:

7 cannot be split into an even number so take one away and you have 6 which can be split into 3 coats per box, with 1 left over.

Rosita is designing a quilt for her bed. She will use 5/8 of the quilt pieces for the background. What percentage of the quilt will be used for the background

Answers

5/8 = 0.625
To turn a decimal into a fraction, move the decimal point two spaces to the right.

0.625 = 62.5%

62.5% of the pieces are used for the background
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