Write the equation of direct variation that includes the point (-2, 4).

# Write the equation of direct variation that includes the point (-2, 4).

• MATH

What is the area of the circle x^2 + y^2 – 8x – 6y = 0?

We can write the given equation of the circle, x^2 + y^2 – 8x – 6y = 0 as x^2 + y^2 – 8x – 6y = 0 => x^2 – 8x + y^2 – 6y = 0 => x^2 – 8x + 16 + y^2 – 6y +9 = 16 + 9 => (x…

• MATH

Write the equation of direct variation that includes the point (-2, 4).

If there is a direct variation between two variables, when one variable goes up so does the other and when one goes down so does the other. If we denote the two variables as X and Y, their relation…

• THE PORTRAIT OF A LADY

After her visit to Ralph in England in The Portrait of a Lady by James, discuss whether Isabel…

In Henry James’ novel, The Portrait of a Lady, Isabel comes to England having lost her family, in order to live with the Touchett family. Isabel is an American woman with a strong, independent…

• SCIENCE

physics why can’t we see objects of dimension greater than 3 ?

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• HISTORY

Why did the Federalists fall from power in the late 1790s?

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• FRANKENSTEIN

As seen in Mary Shelley’s Frankenstein, what contradictory ideas about science are raised during…

Chapter three of Mary Shelley’s Frankenstein offers readers a look at Victor’s professors and their thoughts on science. Victor, mostly self-educated, finds his own studies contrasting with the…

• GUIDE TO LITERARY TERMS

I need examples of signifier/signified, synchronic/diachronic, langue/parole, and…

These terms, as you know, are all from the linguistic theories of Ferdinand de Saussure. As I understand it, enotes editors aren’t supposed to answer a string of questions, so I’ll give…

• AN OCCURRENCE AT OWL CREEK BRIDGE

What is the summary to the short story “An Occurrence at Owl Creek Bridge” by Ambrose Bierce?

This is a great psychological tale set in the midst of the Civil War. The main character is called Peyton Farquhar, who is a wealthy Confederate planter who has been lured by a Union spy into…

• ELEGY WRITTEN IN A COUNTRY CHURCHYARD

What could be some possible analysis points of “Elegy Written in a Country Churchyard”?

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• ROSENCRANTZ AND GUILDENSTERN ARE DEAD

How would you characterize Rosencrantz and Guildenstern: Existential hero or existential faillure?

Judging by the point in Act 3 when they read the letter that condemns them to their deaths and yet they do NOTHING to change that fate, I would have to say that they are existentially dead….

• ENOTES HELP

I am a member, and eNotes answered my other question on Peter the Great. How can I get to the…

The URL link you list with your Question certainly does go to a less useful page than eNotes likes to offer; nonetheless, on the page of your previous question, the URL link there, in the Source…

• FRANKENSTEIN

Compare Mary Shelley’s reaction to her creation to Victor Frankenstein’s reaction to his. Are…

While it is called a “hideous progeny,” I think that Shelley has a different approach to her novel than Victor to his creation. I don’t see her as abandoning it with the zeal and intensity that…

• THE GLASS MENAGERIE

How does the playwright develop Tom’s character in The Glass Menagerie?

Tom is a character that faces a serious dilemma in this play. How can he achieve the escape from his mother and sister that he desires without causing pain to both himself and to them? Tom seems to…

• TEACHERS

Teachers, what kind of environment do you like to have in your classroom?Teachers, what kind of…

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• THE LOTTERY

What were some of the literary devices used in “The Lottery”?

ome of the literary devices that come to mind are the following: 1. Foreshadowing. When the story opens boys are gathering rocks into piles. At the end of the story, we realize the purpose of…

• THE GLASS MENAGERIE

In the end of the play, why is Laura the victim of the whole tragedy? (Besides the abandonment…

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• ROMEO AND JULIET

What is your personal opinion about the Prince’s banishment on Romeo?Do you think this ruling is…

In Act I Scene I, Prince Escalus states “If ever you disturb our streets again, Your lives shall pay the forfeit of the peace.” Here he is telling both families that if they continue to fight, they…

• THE RED BADGE OF COURAGE

I need 3 examples of personification from chapters 2 and 5 of The Red Badge of Courage

In Stephen Crane’s naturalistic work, The Red Badge of Courage, the main character, Henry Fleming, worries about forthcoming battle, apprehensive about how he will handle himself in battle. One…

• MATH

convergenceseries

Supposing that you want to talk about the convergence of series, I’ll emphasize the definition of an absolutely convergent series. A series “Sum an”, for n = 1 to n = infinite is absolutely…

• MATH

Discuss Discuss arithmetic of complex number. Is it special?

No, it is not special, as long as you keep in mind that the complex numbers have the following form, called rectangular form: z = x + iy, where x is called the real part of the number and y is…

• ONE HUNDRED YEARS OF SOLITUDE

What is the significance of the title relative to the story?

The novel involves how various characters find solitude. Each member of the Buendia family winds up in solitude. Jose Arcadio Buendia finds solitude through his obsession with inventions and…

• ESSAY LAB

What are properly written research question goals and objectives?What difficulties may be…

When tackling a large assignment such as a research paper, it is always a good idea to start with preminary questions and goals that guide your research. I call these “guiding questions.” You…

• HISTORY

What was the larger purpose of Lyndon Johnson’s “Great Society?”

The larger purpose of Pres. Lyndon Johnson’s “Great Society” was to use government programs to fix the most pressing problems that faced American society. Pres. Johnson wanted to fix all of these…

• GREAT EXPECTATIONS

How does Dickens use other characters to emphasize Pip’s character traits?

Dickens uses Estella Havisham, the adopted daughter of the rich Miss Havisham, to demonstrate Pip’s constant wantings for a richer, better life. It is through her anatoginizing of Pip and her…

• TO KILL A MOCKINGBIRD

In many novels there’s a character who appears rarely but is referred to by many other characters…

This is an excellent question. In Harper Lee’s To Kill a Mockingbird, the character of Boo Radley is responsible for developing a number of themes in the story. If you refer to eNotes’ section on…

• HISTORY

Was the dramatic growth of population in the eighteenth century due to decreasing death rate or…

This is a difficult question to answer because of the lack of really good records of births and deaths from this period and those periods before it. However, the most common explanation is that…

• THE CALL OF THE WILD

Who is Hal?

One of Buck’s masters during his life is Charles, who wants to use Buck and his other dogs to go in search of gold but does so in complete ignorance and with a massive lack of preparation. Hal is…

• LITERATURE

Describe the mood that Lisa Fugard evokes in her story “Night Calls.”

This great story concerns one man’s struggle to accept the death of his wife as viewed by his daughter. You will want to consider how the father as a character is described and in particular how…

• HISTORY

How were early industrialization and growing sectional tension of America connected?The time…

The most important way in which industrialization helped cause sectional tension was by tying the eastern and western parts of the North together very strongly. This made these areas “Siamese…

• MATH

Write the equation of the circle whose center is (4,-3) and radius is 7.

Given the center of the circle is ( 4, -3) and the radius is 7. We need to find the equation of the circle. We know that the equation of the circle is given by: (x-a)^2 + ( y-b)^2 = r^2 where (…

• KATHERINE MANSFIELD

Loneliness in “An Ideal Family”Could it be that it is Mr. Neave’s age what makes him so lonely,…

Loneliness is of course an excellent theme of this great short story. However, it appears that the loneliness of Mr. Neave is mostly to do with his age. He is isolated by his tiredness, and the way…

• JOHNNY TREMAIN

In Johnny Tremaine, what does Johnny see happening among the salt marshes as he was riding out…

I assume that you are asking about what happens at the end of Chapter IX. In that episode, Johnny goes out riding and comes across a group of British soldiers out to carry out an execution. As he…

• MATH

Find the vertex of the parabola with equation y=2(x-4)^2-8.

Y= 2(X-4)^2 – 8 We will expand the bracket: ==> y= 2(x^2 – 8x + 16) – 8 ==> y= 2x^2 – 16x + 32 – 8 ==> y= 2x^2 – 16x + 24. ==> a= 2 b= -16 c = 24 Now we will determine the…

• MATH

What is the time during which a boat can use the harbor in the following case?A small natural…

The depth of water is given by the function d (t) = 4sin (pi t/8) + 12. Now, at 6:00, the depth of water beyond the barrier is 12 m and the barrier is visible to a height of 0.5m. For a boat with a…

• MATH

Find the inverse of g(x)=sqrt of 3x+1.If g(x)=sqrt of 3x+1, find g^-1(x). [inverse]

g(x) = sqrt(3x+1) We need to find the inverse of g(x). First we will assume that y= g(x). ==> y= sqrt(3x+1) Now we need to isolate x on on sides. Let us square both sides: ==> y^2 = (3x+1)…

• MATH

Please could you explain it steps by steps? A small natural harbour in Cornwall is protected…

Given the function : d(t) = 4sin( pi*t/8) + 12 Where d is the depth in metres and t is the time in hours. At the initial time ( 6:00 or t=0) the depth is 12 meters. We need to find the depth at…

• THE LOTTERY

How do the symbolic associations of the black box add universal human meaning to the story?

I think that the black box helps to add universal meaning to the story because it is the element that holds or contains the violence that is associated with “the tradition” in the village. The…

• HISTORY

What was the president’s name in 1942?

I assume that you are asking who was the president of the United States in 1942. If that is what you are asking, the answer is that the president in that year was Franklin Delano Roosevelt. He is…

• GRAMMAR

Can you please tell me some good resources to practice English grammar and vocabulary for my…

There are some on-line possibilities for practicing English for ESL exams. UsingEnglish.com is a reliable source for English help. Along with a dependable Glossary of English Grammar Terms, they…

• MATH

What are the x intercepts for the rational function y = (2×2-10x-6)/ (2×2-x-3).

y = (2x^2 – 10x – 6) / (2x^2 – x – 3) We need to determine the x-intercept. x-intercept is when the curve meets the x-axis. Then, y value will be 0. Then we need to find the x-coordinate. ==> 0…

• ALEXANDER POPE

Compare and contrast Alexander Pope’s understanding of poetry with John Donne’s.

Donne was a metaphysical poet. Critics (such as Pope and Samuel Johnson) used “metaphysical” in a derogatory way citing that Donne dealt too much in philosophical ideas and that his preoccupation…

• SILAS MARNER

In Silas Marner, in what ways is Godfrey a changed person?

It is in Chapter 15 that we appreciate how lucky Godfrey actually is. Molly, his former wife, has died, leaving him free to marry Nancy, Dunstan has disappeared for good removing another worry from…

• SILAS MARNER

In Silas Marner, describe Silas’ efforts to discipline Eppie.

We are told in Chapter 14 about the attempts of Silas to discipline Eppie as she grows up and gets into the kind of mischief that all children do. When she first wanders off and gets all dirty, he…

• MATH

What are the y-intercepts of y = 2×2-10x-6/ 2×2-x-3.

To find the y-intercept of a rational function we need to equate all the x in all the terms to 0 and see what the value of y is. Here y = (2x^2 -10x -6 )/ (2x^2 – x – 3). Substituting x with 0…

• SCIENCE

obtain a slide of the protonema portion of the moss life cycle.What relationship does it show to…

Most kinds of plants have two sets of chromosomes in their vegetative cells and are said to be diploid, i.e. each chromosome has a partner that contains the same, or similar, genetic information….

• HISTORY

Which German state dominated a united Germany?

The best answer to this question has to be Prussia, assuming that you are talking about the German state as it was unified in the late 1800s. During that time, the Prussians clearly came to…

• HISTORY

Identify the terms in the Treaty of Versailles.

There were, of course, very many terms in the Treaty of Versailles. Let us look at some of the more important ones: German war guilt clause. This clause forced Germany to admit guilt for the war…

• HISTORY

What changed in history from the time of the early Republic to Cicero?Original: What changed in…

The failure of the Roman Republic was caused by a series of social changes that gradually culminated in making the Republic ungovernable. The first major change was the acquisition of an empire….

• WHEN YOU COMIN’ BACK, RED RYDER?

Who is the protagonist and antagonist in When You Comin’ Back, Red Ryder?

Do not forget that the protagonist in a story is the main or principle character and the antagonist is that character’s enemy or the character who presents opposition to the protagonist. Because…