Find all polar coordinates of point P where P = ordered pair 4 comma negative pi divided by 3.

Answers

Answer 1

Answer:

[tex](4,-\frac{\pi}{3}+2n\pi)[/tex] And [tex](-4,-\frac{\pi}{3}+(2n+1)\pi).[/tex]

Hope this helps you out!

Answer 2

Answer:

All the polar coordinates of point P are [tex]P(4,-\frac{\pi}{3})=(4,2n\pi-\frac{\pi}{3})[/tex] and [tex]P(4,-\frac{\pi}{3})=(-4,(2n+1)\pi-\frac{\pi}{3})[/tex], where n is any integer and θ is in radian.

Step-by-step explanation:

It a polar coordinate is given as P(r,θ), then all the polar coordinates of point P  are defined as

[tex]P(r,\theta)=(r,2n\pi+\theta)[/tex]

[tex]P(r,\theta)=(-r,(2n+1)\pi+\theta)[/tex]

Where, n is any integer and θ is in radian.

The given point is

[tex]P(4,-\frac{\pi}{3})[/tex]

So, all the polar coordinates of point P  are defined as

[tex]P(4,-\frac{\pi}{3})=(4,2n\pi-\frac{\pi}{3})[/tex]

[tex]P(4,-\frac{\pi}{3})=(-4,(2n+1)\pi-\frac{\pi}{3})[/tex]

Therefore all the polar coordinates of point P are [tex]P(4,-\frac{\pi}{3})=(4,2n\pi-\frac{\pi}{3})[/tex] and [tex]P(4,-\frac{\pi}{3})=(-4,(2n+1)\pi-\frac{\pi}{3})[/tex], where n is any integer and θ is in radian.


Related Questions

If 38 12-m – 82m, what is the value of m?

Answers

Answer:

[tex]m=-\frac{26}{83}[/tex]

Step-by-step explanation:

Since you are asking for the value of [tex]m[/tex], it is reasonable to assume that we are dealing with an equation here and you forgot to type the equal sign. Given that, I assume our equality is [tex]38=12-m-82m[/tex]. Let's solve it step-by-step:

Step 1. Subtract 12 from both sides of the equation

[tex]38-12=12-12-m-82m[/tex]

[tex]26=-m-82m[/tex]

Step 2. Combine like terms (m terms)

[tex]26=(-1-82)m[/tex]

[tex]26=-83m[/tex]

Step 3. Using the reflexive property of equality: if a = b, then b = a

[tex]26=-83m[/tex]

[tex]-83m=26[/tex]

Step 4. Divide both sides of the equation by -83

[tex]\frac{-83m}{-83} =\frac{26}{-83}[/tex]

[tex]m=-\frac{26}{83}[/tex]

We can conclude that the value of m is [tex]-\frac{26}{83}[/tex].

Next time be more careful writing your question :)

What is the length of each side of the larger square

Answers

Answer:

The larger square is 6 cm on a side

Step-by-step explanation:

Let x = the side of square 1

Let y = side of square 2

A= s^2

Area of square 1 = x^2

Area of square 2 = y^2

The total area of both squares = x^2 +y^2 = 45

We know that y = 2x

Substituting in

x^2 + (2x)^2 = 45

x^2 +4x^2 = 45

5x^2 = 45

Divide each side by 5

5x^2/5 = 45/5

x^2 = 9

Take the square root of each side

sqrt(x^2) = sqrt(9)

x = 3

y = 2x = 2(3) = 6

The larger square is 6 cm on a side

Evaluate 4x power of 3 +4x when x=3

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{Evaluate:\ }\bf{4x^3+4x}\text{ if x = 3}[/tex]

[tex]\text{If we know what the x-value is then replace the x with 3}[/tex]

[tex]\bf{4(3)^3+4(3)}[/tex]

[tex]\bf{4(3)^3+12}[/tex]

[tex]\text{4 = 4}[/tex]

[tex]\bf{3^3=27}[/tex]

[tex]\text{4(3) = 12}[/tex]

[tex]\text{4(27) + 12}[/tex]

[tex]\text{4(12)=108}[/tex]

[tex]\text{108 + 12 = 120}[/tex]

[tex]\boxed{\boxed{\text{Answer: 120}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Pick the correct graph to each category based on the slope of the graph.

Answers

Answer:

Slope 0: second graph

slope less than 0: fourth graph

slope undefined: fifth graph

slope greater than 1: third grpah

Step-by-step explanation:

Answer:

slope 0: second on the red line on top

less than 0: 4th graph \

undefined:5th graph |

greater than 1: first one /

Step-by-step explanation:

Answer all questions on there plz 100 points come on

Answers

this is the answer to question one

3:1:2 = 90:30:60

and the answer to the second one

Answer: The answer to the cube one is 13 times 13 which gives u 169 and one of those is red so the ratio is 1 red cube to 168 black cubes or 1:168

A circle has its center at (1,4) and a radius of 2 units what is the equation of the circle

Answers

Answer: x² + y² - 2x - 8y + 13 = 0

Step-by-step explanation:

the equation of the circle is in the form (x - a)² + (y - b)² = r²

where (a,b) is the center of the circle and r is the radius

      hence the equation is

                         (x - 1)² + (y - 4)² = 2²

                         x²-2x+1+y²-8y+16= 4

                         x²+ y² -2x- 8y + 17 =4

                         x² + y² - 2x - 8y = -13

                          x² + y² - 2x - 8y + 13 = 0

PLS HELP I WILL GIVE BRAINLIEST

Answers

So, you just have to recognize the line splitting the circle in half, line LJ.  So, if JC (arc) is 94, then do 180-94=86.  ∠LJC is an inscribed angle, so it's half of 86, which is 43°.

43° is your answer.


The point-slope form of the equation of the line that passes through (-9, -2) and (1.3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?

Answers

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

y-3=1/2(x-1).

To get from point slope to slope intercept, distribute the slope

y-3 = 1/2 x -1/2

Then add 3 to each side

y-3+3 =1/2 x -1/2 +3

y = 1/2x +2 1/2

Or if we want the last term as an improper fraction

y = 1/2x + 5/2

can you answer the first question

Answers

Answer:

The solution is incorrect and the equation has 1 solution

Step-by-step explanation:

Malia subtracted 6 instead of dividing by 6.

correct solution:

6x=48

x=48/6

x=8

Please help me?

take 20% of ten more than fifty, divided it by three, and then square it what number do you get?

Answers

The answer is 16, good luck

Maybe 2??? tell me if right.

A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm

Answers

Answer:

13.6

Step-by-step explanation:

"A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm"

Down to the nearest .1 centimeter means round to the nearest .1, so the solution is 13.6cm

Final answer:

A ruler that can measure to the nearest 0.1cm would be able to accurately measure a wire of 13.58cm up to 13.5cm. The remaining 0.08cm cannot be measured accurately by this ruler.

Explanation:

In this context, the term 'precision' refers to the smallest measurement that can be reliably marked by an instrument. Given that the ruler can measure to the nearest 0.1 centimetre, the most precise measurement the ruler can make is till decimals of one place. Therefore, for a wire measuring 13.58cm, the ruler will be able to precisely measure till 13.5cm. The wire's length of '0.08cm' beyond '13.5cm' cannot be accurately measured with this ruler as it doesn't have markings to measure in this range.

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Jesse has a bottle of lemonade one third has been drunk he shares it between himself and his three friends what fraction of the full bottle do they each get?

Answers

Answer:

1/9

Step-by-step explanation:

1/3 times 1/3 = 1/9

The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %

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 ,

Jesse has a bottle of lemonade

The lemonade is 1/3 empty

So , the amount of lemonade left in the bottle is = 1 - 1/3

                                                                                = 2/3

The number of friends Jesse shares the lemonade with = 3 people

So , the total number of people = 4 people

Now , the equation will be

Total lemonade each person get =
Amount of lemonade left in the bottle / total number of people

Total lemonade each person get = ( 2/3 ) / 4

                                                       = 2/12

                                                       = 1/6

                                                       = 0.1667

Hence , The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %

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Ms. Chloe has 5 cups of popcorn, which she is serving as a snack to a group of children. Each serving is 1/4 of a cup. How many children can get a serving of popcorn as a snack?

Answers

20 children can get a serving of popcorn

Since each serving is 1/4 of a cup, each cup can provide for 4 children. Since there are 5 total cups, multiplying 5 by 4 will give you 20.

The answer is 20 because first you have to set up a division equation. It would be 5 divided by 1/4.You can’t divid with a fraction so you must change it into a multiplication sentence. The new equation would now be 5 times 4/1 and the answer would be 20. Therefore, Ms.Chloe can freed 20 children.

5 - _________a0 = 14

Have no idea how to attempt this problem, and have told math teachers I cant figure it out, but they are not helping. Please help if you can. Thanks in advance.

Answers

Answer:

Final answer is  [tex]a_0=-9[/tex]

Step-by-step explanation:

Given equation is [tex]5-a_0=14[/tex]

Now we need to solve the given equation [tex]5-a_0=14[/tex] for the unknownd variable  [tex]a_0[/tex] .

We can do that by isolating [tex]a_0[/tex]

To isolate [tex]a_0[/tex], let's subtract 5 from both sides

[tex]5-a_0-5=14-5[/tex]

[tex]-a_0=9[/tex]

multiply both sides by -1

[tex]-a_0(-1)=9(-1)[/tex]

[tex]a_0=-9[/tex]

Hence final answer is  [tex]a_0=-9[/tex]

Brainliest + 20 Points!

I need help I'm struggling..

The ratio of side lengths for two similar cubes is 2/5

Show your work or explain how you got your answers.

a.The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube

Answers

Answer:

The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

and

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the smaller cube

y ----> the perimeter of the larger cube

[tex]z=\frac{x}{y}[/tex]

in this problem we have

[tex]z=\frac{2}{5}[/tex] ----> scale factor

substitute

[tex]\frac{x}{y}=\frac{2}{5}[/tex]

What is the median from the following set of data:1,2,3,3,3,8,8,11,15?

Answers

Answer:

3

Step-by-step explanation:

The median is the # in the middle, and since 3 is used 3 times, it´s the most used # and is in the middle

[tex]\huge{\boxed{3}}[/tex]

The median is the middle number when the numbers are arranged least to greatest, which they already are.

Take numbers away two at a time, one from the front and one from the back.

1,2,3,3,3,8,8,11,15

2,3,3,3,8,8,11

3,3,3,8,8

3,3,8

This means that the median is [tex]\boxed{3}[/tex]

5.
(07.04A)

The graph represents function 1, and the equation represents function 2:

Function 1
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 4.

Function 2
y = 8x + 12

How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)

A:=3

B:=4

C:=5

D:=8

Answers

D. is the answer.

your welcome hunty

Answer:

Step-by-step explanation:

Actually, none of the posted possible answers is correct.  The slope of the horizontal line is zero, whereas the slope of the given equation is 8.  There is no number which, when multiplied by 0, results in a non-zero product.

However, if we are ADDING instead of multiplying, then the correct number is 8, because 0 + 8 = 8.

which number is 13 prime, composite, or nither

Answers

13 is prime because there is only 1 factor 1 and 13.

Answer:

prime

Step-by-step explanation:

If f(x)=x+7 and g(x)=1/x, what is (f•g)(x)?

Answers

Answer:

Step-by-step explanation:

(f•g)(x) = f(g(x)) = f(1/x) = 1/x +7

The length of a rectangle is 45 inches more than the width. The perimeter is 346 inches. Find the length and the width.

Answers

Solution:

Perimeter of Rectangle = 346

Let Required length of breadth be x

Then, Length of Rectangle = 45 + x

Now, We have ;

Perimeter of Rectangle = 2(l+b)Perimeter of Rectangle = 2 ( 45 + x + x346 = 2 ( 45 + 2x )346 = 90 + 4x 346 - 90 = 4x 256 = 4x x = 256 ÷ 4 x = 64 inches

So, Length of Rectangle = x + 46

Length of Rectangle = 64 + 46

Length of Rectangle = 110 inches

Now, Breadth of Rectangle = 64 inches.

Answer:

Length = 109 inches and width = 64 inches

Step-by-step explanation:

Perimeter = 2(length + width)

Let the width of the rectangle be 'w' inches

Length of the rectangle would be = 45+w inches

2((45+w)+w) = 346

2(45+2w) = 346

90 + 4w = 346

4w = 346 - 90

4w = 256

w = [tex]\frac{256}{4}[/tex]

w = 64 inches

Length = 45 + 64 = 109 inches

Length = 109 inches and width = 64 inches

is this right? we are learning ‘applying systems of equations’

Answers

The system of equations is

X+y=70

X-y=36

Where x and y are the two numbers

X=36+y ( from second)

36+y+y=70;

2y=70-36;

y=17

X+17=70

X=70-17=53

Numbers are 17, 53.

Find the distance between the points given. (2, 2) and (5, 5) 3 3√2 7√2

Answers

Answer:distance=(3,3)

Step-by-step explanation:

5-2=3

Answer:

The answer is 3 square root 2.

Step-by-step explanation:

Using the distance formula and you will get 4.242...... and then you will get 3 square root 2.

Josh bought four books at a bookstore. Here are their prices (in dollars).
19.5
,
16.87
,
4.02
,
2
What is the total amount Josh paid at the bookstore?

Answers

Answer:

Step-by-step explanation:19.5+16.87+4.02+2

=42.39$

Find the value of 2 numbers if there sum is 12 and their difference is 8

Answers

Answer:

- 2 and 10 with the difference with each other is 8 and the sum is twelve

Step-by-step explanation:

PLLZZZ MARK AS BRAINLIEST PLZZZZZ

the ratio of the number of men to the number of women on a bus was 2:3 at a bus stop. 4 women got off and the ratio became 4:5. 1 How many men were on the bus? b. How many women were on the bus in the end?

Answers

Answer:

At the beginning

16 men and 24 women

In the end

16 men and 20 women

Step-by-step explanation:

Call x the number of men on the bus and call y the number of women on the bus.

We know that the initial ratio between men and women is 2: 3

And the final ratio is 4: 5

So

[tex]\frac{x}{y}=\frac{2}{3}\\\\y = \frac{3}{2}x[/tex]   (1)

After the 4 women are down, the proportion is:

[tex]\frac{x}{y-4}=\frac{4}{5}\\\\y-4 = \frac{5}{4}x\\\\y= \frac{5}{4}x +4[/tex]   (2)

Substitute the value of y in the first equation and solve for x

[tex]\frac{5}{4}x +4=\frac{3}{2}x\\\\-\frac{1}{4}x=-4\\\\x=16\ men[/tex]

Now solve for y.

[tex]y = \frac{3}{2}(16)\\\\y=24\ women[/tex]

Then at the end there were

[tex]y = 24-4 = 20[/tex] women

A circle is inscribed in a square with a side length of 12 cm. What is the area of the square not contained within the circle? Use π=3.14
.

Answers

The answer will be 48 is the area if the square

look at picture and plzz help answer is more than one option

Answers

Answer:

f(x) reflect over the x-axis, vertically stretch by a factor 3, and

shift down 1 unit ⇒ 2nd answer

Step-by-step explanation:

* To solve this problem you must to know some fact about

  transformation

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

- A vertical stretching is the stretching of the graph away from

 the x-axis

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each of its y-coordinates by k.

- A vertical compression is the squeezing of the graph toward

 the x-axis.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or compress is

 followed by a reflection across the x-axis.  

* Now lets solve the problem

- From the graph

∵ The line passes through the points (0 , -1) and (-1 , 2)

∴ The slope of the line = (2 - -1)/(-1 - 0) = 3/-1 = -3

∵ The graph intersect the y-axis at point (0 , -1)

∵ The equation of any line ⇒ y = mx + c , where m is the slope

   of the line and c is the y-intercept

∵ m = -3 and y-intercept = -1

∴ y = -3x - 1 ⇒ g(x) = -3x - 1

∵ f(x) = x

* From all the transformation above

# -3x means the graph reflected over the x-axis, vertically stretch

  by a factor 3

# -1 means shift down 1 unit

# g(x) = -3f(x) - 1

∴ f(x) reflect over the x-axis, vertically stretch by a factor 3, and

  shift down 1 unit

* The second answer

Find the next three terms in the sequence. 6, 11, 16, 21, . . .

A) 26, 31, 36


B) 31, 36, 41


C) 205, 525, 2625


D) 16, 11, 6

Answers

Answer:

a)26,31,36

Step-by-step explanation:

add by 5

26, 31, 36  next three terms in the sequence.

What is arithmetic progression?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Given

a = 6

d = 11-6 = 5

aₙ = a + (n-1)d

n = 5, 6, 7

a₅ = 6 + (5-1)5

a₅ = 6 +20 = 26

a₆ = 6 + (6-1)5

a₆ = 6 +25 = 31

a₇ = 6 + (7-1)5

a₇ = 6 +30 = 36

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the difference between 4 632 and 20 000 is what number?

Answers

u just divide 4,632 by 20,000

Answer:

-15368

Step-by-step explanation:

Elsa makes and sells candles. The function C = 2n + 125 represents her costs, in dollars, for producing n candles. Her revenue, or the amount she receives for selling n candles, can be represented by the function R = 4n. Which function represents Elsa’s profit, P, for selling n candles?Elsa makes and sells candles. The function C = 2n + 125 represents her costs, in dollars, for producing n candles. Her revenue, or the amount she receives for selling n candles, can be represented by the function R = 4n. Which function represents Elsa’s profit, P, for selling n candles?

Answers

ANSWER

P(n)=2n-125

EXPLANATION

Profit equals selling price minus cost price.

P(n)=R(n)-C(n)

The cost price is given by the function;

C(n)= 2n + 125

The selling price is represented by the function:

R(n)=4n

The function that represents the profit function is :

P(n)=4n-(2n+125)

Expand

P(n)=4n-2n-125

Simplify:

P(n)=2n-125

Answer:P = 2n – 125

Step-by-step explanation: Ur welcome <3

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