Find a cartesian equation for the curve and identify it. r2 cos(2î¸) = 1

Answers

Answer 1

The Cartesian equation for the curve and identify it. r² cos(2 Θ ) = 1 is

x² - y² = 1.

What is a Cartesian equation?

A Cartesian equation for a curve is one that is only expressed in terms of x and y.

To find the Cartesian equation for the curve

Since,  [tex]\rm cos^2 \theta =2cos2\;\theta - 1[/tex], then

[tex]r^2cos2 \theta = 2^r2cos2 \theta\\\\ r^2=2(rcos \theta)2 -r^2 =2 \times 2 - (x^2+y^ 2) = x^2 - y^2,[/tex]

So the Cartesian curve is x² - y² = 1, which is a hyperbola having the lines y= ±x as asymptotes.

Thus, the Cartesian equation for the curve and identify it. r² cos(2 Θ ) = 1 is x² - y² = 1.

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Related Questions

Referring to the same number 7, if m

Answers

Answer:

7m

Explanation:

7.m

1. look at the illustration of the various positions of the moon in its orbit around the earth. for each position, draw the phase of the moon as seen from earth and label the lunar phase. in the table, fill in the approximate times of moonrise and moonset for the indicated lunar phases. explain how the times of moonrise and moonset were chosen.

Answers

The position of the moon, relative to the position of Earth and Sun, determines the times of moonrise and moonset.

What are the phases of moon?

The moon has total four primary phases, New moon, first quarter moon, Full moon, and third moon.

For each position, draw the phase of the moon as seen from earth and label the lunar phase.

The phase of the moon for each phase is drawn and attached in the below image.

In the table, fill in the approximate times of moonrise and moonset for the indicated lunar phases-

The table for the times of moonrise and moonset for the indicated lunar phases is shown in the second image.

Explain how the times of moonrise and moonset were chosen-

The phases of moon do not change at moonrise and moonset. It appears changing as both moon and earth are rotating.

Thus, the position of the moon, relative to the position of Earth and Sun, determines the times of moonrise and moonset.

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This excerpt is most directly related to which of these? a) japanese wartime atrocities, nazi concentration camps, and the holocaust b) concerns surrounding the soviet annexation of latvia, lithuania, and estonia c) the roosevelt corollary, imperialism, and foreign involvement in latin america d) concerns regarding the rise of fascism and military aggression in europe and the pacific

Answers

The excerpt is mostly related to; Concerns regarding the rise of fascism and military aggression in Europe and the Pacific

What is the Meaning of the Excerpt?

From the given excerpt as seen online, we see the statement being made that enduring peace cannot be bought at the cost of other people's freedom.

The statement above and others in the quoted text made in the question bother on fascism and military agression and as such, we can conclude that the excerpt is most directly related to Concerns regarding the rise of fascism and military aggression in Europe and the Pacific.

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The population of a particular country consists of three

Answers

Ethnic groups that’s the answer

A prism 5 feet tall whose base is a right triangle with leg lengths 6 feet and 7 feet

Answers

The volume of the right triangular prism, which is 5 feet tall is 105 ft³.

To calculate the volume of the prism, we use the formula below.

Formula:

V = Hbh/2...............Equation 1

Where:

V = Volume of the prismH = Height of the prismb = base of the triangleh = height of the triangle

From the question,

Given:

H = 5 fth = 6 ftb = 7 ft

Substitute these values into equation 1

V = (5×6×7)/2V = 105 ft³

Hence, the volume of the right triangular prism, which is 5 feet tall is 105 ft³.

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Complete question: What is the volume of a prism 5 feet tall whose base is a right triangle with leg lengths 6 feet and 7 feet

A ____ is a degree offered at a
university after you have obtained a bachelor's
degree.

Answers

A type of degree that is offered at a university after you have obtained a bachelor's degree is called master's degree.

What is a bachelor's degree?

A bachelor's degree can be defined as an academic degree that is formally awarded by a tertiary institution (university or college) to a student after the successful completion of his or her educational programme.

Generally, the second degree a graduate student obtains after the acquisition of a bachelor's degree (first degree) is referred to as a master's degree.

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Proctor and gamble were not an official sponsor of wimbledon. yet almost 25,000 cans of their pringles were distributed to spectators outside the wimbledon all england club. this is an example of?

Answers

Procter and Gamble is a multinational consumer services corporation. The distribution of the pringles outside Wimbledon is ambush marketing.

What is ambush marketing?

Ambush marketing is an advertising strategy that employs an ambushing strategy in an event. This marketing strategy uses public events to promote its services and products.

This strategy does not use money unlike, what sponsors do in advertising their products at events. P&G used this strategy in the Wimbledon match as they were not the official partners but associated themselves with the customers.

Therefore, P&G employed ambush marketing.

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How much will molly’s monthly payment be if she makes 36 monthly payments?

Answers

1. Loan needed by Molly = $25495 - $2500-$1500 = $21495 2. At 0% APR, monthly payment = $21495/36 = $597.08 3. Total Interest Molly.

The national organization for women wanted the us government to promote workplace equality by outlawing maternity leave. Awarding women settlements of back pay. Passing title ix. Allowing tax deductions for child care

Answers

Answer:

Title 9 I'm pretty sure

Explanation:

The national organization for women wanted the US government to promote workplace equality by allowing tax deductions for child care.

What is national organization for women?

The National Organization for Women (NOW) is a feminist organisation in the United States that was founded in 1966.

Its mission is to promote gender equality and women's rights, including reproductive rights, workplace discrimination, and violence against women.

NOW has been a key player in many of the most important women's rights movements in the United States, including the fight for the Equal Rights Amendment, abortion rights, and the fight against intimate harassment and assault.

In addition, the organisation has been involved in political advocacy, advocating for legislation that promotes women's rights and endorsing political candidates who support their agenda.

Thus, the National Organization for Women urged the United States government to promote workplace equality by allowing tax breaks for child care.

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What does tromp l’oeil arch mean? a. rounded arch b. secret arch c. fool the eye arch d. eye of the needle arch please select the best answer from the choices provided a b c d

Answers

The tromp l’oeil arch means to fool the eye arch (Option C). It is French for 'deceive the eye'.

What does tromp l’oeil arch mean?

Tromp l’oeil arch can be translated in the French language as 'deceive the eye' and involves an optical illusion.

The tromp l’oeil arch involves an optical illusion related to the shape of objects in tridimensional perception (3D).

The tromp l’oeil arch effect is well known in painting art and involves similarity for the viewer.

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Answer:

c

Explanation:

17.2 defining and evaluating the basic trigonometric functions answer key

Answers

An example of basic trigonometric functions question is find tan [tex]\frac{11\pi }{4}[/tex].

What are trigonometric functions?

The term trigonometric function is known to be made up of functions such as sine (sin), cosine (cos), tangent (tan), etc., that stands for the ratios of sides of all right triangles.

To solve for tan [tex]\frac{11\pi }{4}[/tex]

It will be  [tex]\frac{11\pi }{4}[/tex] = 2[tex]\pi[/tex] + [tex]\frac{3\pi }{4}[/tex]

θ = [tex]\pi -\frac{3}{4} \pi[/tex]

θ = [tex]\frac{\pi }{4}[/tex]

To know the right angle,

 θ = [tex]\frac{\pi }{4}[/tex] x 180/4 = 45⁰

tan θ = 1

Therefore,  tan [tex]\frac{11\pi }{4}[/tex] = -1

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A population of animals is split in half by a river. Before speciation is completed, the two halves are rejoined when a drought causes the river to run dry. How would this impact the two populations?

Answers

Answer:

The gene flow would increase.

Explanation:

Gene flow would increase between the two halves, and speciation would not occur.

Gene flow would increase between the two halves, and speciation would not occur

What is the average power developed by a motor as it lifts a 400

Answers

Answer:

4905 watts

Explanation:

it should be 4905 watts, my mistake if this is false.

Choose the best spanish word to complete the sentence. tú __________ el programa de computación. viste vió vieron visten

Answers

According to the context, the correct word to complete the sentence is "viste", viste el programa de computación.

How to complete Spanish sentences?

To correctly complete a sentence, the words must be ordered in a way that makes complete sense.

It is necessary to make the subject of the sentence agree with the verb, that is to say that the selected conjugation is the appropriate one for the verb in question.

In the sentence "tú viste el programa de computación", the verb "viste" coincides in meaning and conjugation with the subject.

Therefore, we can conclude that according to the context, the correct word to complete the sentence is "viste", viste el programa de computación.

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Answer: viste

Explanation: edge

How did the selective service act of 1917 contribute to the war effort? brainly

Answers

D.
It allowed the federal government to expand the military through the draft.

What can you most clearly determine about the story’s setting from this passage? the location described in the passage is a construction zone. the location described in the passage is a mountain with zinc houses. the location described in the passage is a wealthy area. the location described in the passage is war torn.

Answers

Answer:

The location described in the passage is war torn.

Explanation:

just got it RIGHT!!!

The option that tells about the story’s setting  is that the location described in the passage is war torn.

What is story setting?

The setting of a story is known to be the full scope in a scene or  any given story that tells the elements where a given story occurs.

Based on the passage, The option that tells about the story’s setting  is that the location described in the passage is war torn as it shows the way war ravages the place.

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Determine the ph of an hf solution of each of the following concentrations.

Answers

The pH shows the degree of acidity of alkalinity of a solution. The pH of the HF can be obtained from the ICE table.

What is pH?

The term pH refers to the hydrogen ion concentration of a solution. Recall that acids produce hydrogen or oxonium ion in solution.

The first step to determine the pH of the HF solution is to set up the ICE table as shown;

             HF + H2O  ⇄ H3O^+ + F^-

I

C

E

The values of the initial concentration of HF  as well as the Ka of HF are not given. If these two values are give, the pH can be obtained from;

Ka = [H3O^+] [ F^-]/[HF] Knowing that  [H3O^+] = [ F^-] = x

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To add emphasis to the idea that this object is different than other recent objects discussed, an audio version of this text could have a pause after "this suffragette." after "recent objects." before "mass consumption." before "this one is about."

Answers

In order to add emphasis to the idea that this object is different, an audio version of this text could have a pause before "this one is about."

What is text structure?

Text structure can be defined as a group of words that are used to describe how an author or a writer organizes his or her words in a literary work.

In this scenario, you should have a pause before "this one is about." when you are creating an audio version of the text in the excerpt, so as to add emphasis to the idea that this object differs from the other recent objects that were discussed by the writer.

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Answer: D

Explanation: On edge

Which equation describes the relation indicated by the table

Answers

Answer:

Answer: - (1/2)x + 2

Explanation: 1) Table

x    y

-2   3

0    2

4    0

6   -1

The first thing that you must probe is whether the relation is linear.

When the relation is linear the rate of change is constant.

The rate of change is Δy / Δx

2) Let's calculate that rate for all the points given:

x    y

-2   3

0    2 ---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2

4    0 ---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2

6   -1 ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2

So, we have shown that the relation is linear.

3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.

We already found m = -1/2

The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.

Therefore the equation is: y = (-1/2)x + 2.

A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim

Answers

Answer:

if the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001

Now you should be prepared to write a draft of your essay. think back to your prompt, and complete this checklist to make sure you’re ready. check all that apply to you. i know which side i am arguing. i’ve chosen evidence to support my claim. my evidence and reasons are appropriate for the task and purpose. my evidence and reasons appeal to logic by using facts, details, and statistics. i’ve identified a counterargument, and i know how i will respond to it. i have a strong outline.

Answers

Essay writing is given to students in order to test their writing, reading skills, and knowledge of a topic.

How to write an essay?

Based on the information given, the way to write the essay will be given. Firstly, it's important to decide on your topic.

Research should be done on the topic and create an essay outline. Set your argument in the introduction and develop it with evidence.

Finally, check the content, grammar, formatting, and spelling, of your essay.

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Answer:

You can put all of them it'll give you the score anyway

Explanation:

True or false: the south had fewer schools, lower literacy levels, and poorer basic services than the north in the early 20th century.

Answers

Answer:

True!

Explanation:

Which of these statements is true of the fourth amendment check all that apply

Answers

The true statement about the amendment includes:

its describes a fair process for searches and seizures.judge will not issue a warrant if he does not believe a causeits prohibits only "unreasonable" searches and seizures

What is the fourth amendment?

This is a legislation that that protected the people from unreasonable searches and seizures by the government.

Hence, by virtue of this, the Amendment describes a fair process for searches and seizures, all judge will never issue warrant once he do not believe there is probable cause and the Amendment prohibits only "unreasonable" searches and seizures.

Therefore, the Option B, D and E is correct.

Missing options "A police officer can search someone's home, so long as a judge is present, The Fourth Amendment describes a fair process for searches and seizures, A police officer may seize anything he or she finds suspicious, A judge will not issue a warrant if he or she does not believe there is probable cause, The Fourth Amendment prohibits only "unreasonable" searches and seizures."

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Answer: B.) The Fourth Amendment describes a fair process for searches and seizures.

D.) A judge will not issue a warrant if he or she does not believe there is probable cause.

E.) The Fourth Amendment prohibits only “unreasonable” searches and seizures.

Explanation: yas

There are six books in a stack, and each book weighs 5 n. The coefficient of friction between the books is 0. 2. With what horizontal force must one push to start sliding the top five books off the bottom one?

Answers

The answer would be 5N

In the context of the story, the excerpt is ironic because billy's father is actually a very good baseball player. named his son after a baseball player. stayed away from the playoffs. is more concerned about the family's vacation.

Answers

Answer:

named his son after a baseball player.

Explanation:

Both "the tiger" and "the lamb" convey similar messages, also called iambs. Parallelisms. Refrains. Themes

Answers

The similar messages conveyed by the poems titled "The Tiger" and "The Lamb" are called; Themes

What is the Theme?

A theme is defined as a main idea, an underlying message or meaning of a literary work that can be made direct or indirectly.

Now, the theme in both poems by William Blake titled "The Lamb” and “The Tiger” is creation and origin.

For example, in the poem “The Tiger”, the author is seen questioning how the same God could create such a gentle creature as the lamb and also a terrifying creature as the tiger.

Thus, we can say that both poems convey themes.

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Answer:

d - themes.

Explanation:

edge 2022

What is the compound interest on a three-year, $100. 00 loan at a 10 percent annual interest rate? $10. 00 $21. 00 $33. 10 $46. 41

Answers

Answer:

58.81 i think but i could be wrong

Based on the study presented in the video, what strategy would you recommend to maximize someone's feelings of happiness?

Answers

The video is not found here, but feelings of happiness can be maximized by viewing positive outcomes globally and compartmentalizing negative outcomes.

What are the negative outcomes?

The negative outcomes are results that may negatively influence our emotions and feelings such as happiness.

The best manner to maximize the feelings of happiness is by having a positive global vision of life.

For this purpose, it is required to compartmentalize negative outcomes in order to decrease their effects.

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For this question, we are concerned with the movement of an object along a path in the plane. we are assuming that the plane is a coordinate plane and the object starts at the point. as the object moves along the path, each point on that path has two coordinates. the coordinates depend on the distance traveled along the path. let us call this distance s, the length of the path from the origin to a point p on the path.

Answers

The value of s that will be able to yield the coordinate (4, 3) is 5.

How to find the value?

From the information given, in order to find the value of s, we'll use the Pythagoras theorem. This goes thus:

OA = ✓4² + ✓3²

OA = ✓(16 + 9)

OA = ✓25

OA = 5

Therefore, value of s that will be able to yield the coordinate (4, 3) is 5.

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There are 18 mathematics majors and 325 computer science majors at a college.

Answers

Answer:

5850

Explanation:

The objective is to find the number of ways that two representatives can be picked such that one is mathematics major and the other is computer science major.

Recall the following product rule:

If one task can be done in ways and another task can be done in ways, then the number of ways that the two tasks can be done in sequence is, .

Use the above product rule to find the required number of ways in this case since the first task is to pick a mathematics major and then the second task is to pick a computer science major.

Thus, the number of ways that two representatives can be picked such that one is mathematics major and the other is computer science major is,

5850

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