Given the points A(-2,5) and B(4,7)determine the middle point of AB.

# Given the points A(-2,5) and B(4,7)determine the middle point of AB.

• GEOMETRY2

Given the points A(-2,5) and B(4,7)determine the middle point of AB.

The mid point between the points (x1, y1) and ( x2, y2) is given by [(x1 + x2)/2 , (y1 + y2)/2] Here we have the points A(-2 , 5) and B( 4 , 7) The middle point has the coordinates [( -2+4)/2 ,…

• ALGEBRA1

What is x if 28^(4x-6)=1/784 ?

We have to find x given that 28^(4x-6)=1/784 28^(4x-6)=1/784 => 28^(4x-6)=1/28^2 => 28^(4x-6)=28^(-2) As the base is the same, we equate the exponent => 4x – 6 = -2 => 4x = 4 => x =…

• SHILOH

Discuss the relationship in the story “Shiloh” by Bobbie Ann Mason. Just a few short comments.

“Shiloh” by Bobbie Ann Mason presents three characters who are unable to communicate. Leroy, the husband, has suffered a leg injury in his truck driving. He now does nothing except work with…

• SOCIAL SCIENCES

What would Marx see as the basis for people’s ideas and values?

To Karl Marx, the basic cause of people’s ideas and values is the “base” of their economy. To Marx, everything about a society other than its “base” is a “superstructure” that is built on and…

• SILAS MARNER

In Silas Marner, what contributions do Godfrey and Nancy make to Eppie’s wedding?

Godfrey and Nancy felt guilty because they still believed that they should have kept Eppie as a baby and raise her themselves. Godfrey also knew that money was not going to be able to make up for…

• A HUNGER ARTIST

How do the events of “A Hunger Artist” match up with the flat, matter-of-fact tone in which it is…

This is an excellent question. Of course, the point of view of this challenging short story is third person limited, which helps create the detached tone that you refer to. From the very start of…

• BEOWULF

How is Grendel’s mother finally defeated in Beowulf?

Beowulf and Grendel had a horrid final battle in which each put the most of each in order to defeat the other. What we do know is that right on the most poignant moment in the story Beowulf saw a…

• CALCULUS

What is the antiderivative of y=x/square root(x^2-9) ?

We have to find the antiderivative of y = x / sqrt ( x^2 – 9) Let u = x^2 – 9 => du / dx = 2x => x dx = du/2 Int [ x / sqrt ( x^2 – 9) dx] => Int [(1/2)*(1/ sqrt u) du] => Int [ (1/2)*…

• THINGS FALL APART

Please summarise Chapter Eleven of Things Fall Apart.

This chapter features the oral nature of the myths and fables that are such a part of Ibo tribal life. It begins with Ekwefi telling Ezinma a fable about the Tortoise. During an intense famine, the…

• TRIGONOMETRY1

Prove the identity cotx*sinx=cosx/(cos^2x+sin^2x)

We have to prove that cot x*sin x = cos x /((cos x)^2 + (sin x)^2) Now we know that (cos x)^2 + (sin x)^2 = 1 Also, cot x = cos x / sin x So cot x*sin x = (cos x / sin x)* sin x = cos x cos x…

• CALCULUS

How to determine the indefinite integral of e^square rootx/square rootx (substitution or parts) ?

We have to find the integral of e^ sqrt x / sqrt x. Let u = sqrt x => du/dx = 1/2* sqrt x => 2* du = dx / sqrt x Int [ (e^ sqrt x / sqrt x) dx] => Int [ e^u * (dx/sqrt x)] => Int [ e^u…

• CALCULUS

What is the extreme point of the curve 3x-6x^2?

We have to find the extreme point of the curve y = 3x – 6x^2. To do that we find the first derivative of 3x – 6x^2 and equate it to zero. This is solved for x. Now y = 3x – 6x^2 y’ = 3 – 12x 3 -…

• MONSTER

In Monster, why is it said that it is best to cry at night while someone is screaming?

Steve states that the best time to cry is at night because, normally, someone is being attacked and if the noise of the attack is loud enough no one would be able to hear you cry. Steve is fearful…

• A GOOD MAN IS HARD TO FIND

How are the style and tone of the narrator’s voice different than that of the characters in “A…

This is a very interesting question to consider. When we think of tone we need to examine the diction or word choice and the action that a story contains. In a sense, this great story is a mix of…

• ALGEBRA1

What are solutions of simultaneous equations 1/x=(y-1)/y 3/x=(2y-1)/y

We have to solve the equations 1/x=(y-1)/y and 3/x=(2y-1)/y 1/x=(y-1)/y => x = y/(y – 1) Substitute x = y/ (y – 1) in 3/x=(2y-1)/y => 3/x=(2y-1)/y => 3 /[y/ (y – 1)] = (2y-1)/y => 3(y -…

• TRIGONOMETRY1

Prove the following identity: cos4x – sin4xcot2x = -1

We have to prove that cos 4x – sin 4x * cot 2x = -1 cos 4x – sin 4x * cot 2x = -1 use cos 2x = (cos x)^2 – (sin x)^2 and sin 2x = 2 sin x cos x and cot x = (cos x)/(sin x) => (cos 2x)^2 – (sin…

• TRIGONOMETRY1

Prove the following identity: (1+ sin x + cos x) / (1+ sin x – cos x) = cot x/2

We have to prove that (1+ sin x + cos x) / (1+ sin x – cos x) = cot x/2 Now sin 2x = 2 sin x * cos x and cos 2x = 2 (cos x)^2 – 1 (1+ sin x + cos x) / (1+ sin x – cos x) => [1+2*(sin x/2)*(cos…

• TRIGONOMETRY1

Prove the following identity: cos x + cos 2x + cos 3x = cos 2x(1 + 2cos x)

We have to prove : cos x + cos 2x + cos 3x = cos 2x(1 + 2cos x) We know that cos A + cos B = 2 * cos (A + B)/2 * cos (A − B)/2 Now cos x + cos 2x + cos 3x => 2 * cos (4x / 2) * cos (2x / 2) +…

• TRIGONOMETRY1

What is the trigonometric form of z=6+8i?

The given form of the complex number is the rectangular form: z = x + y*i. The trigonometric form of a complex number is: z = |z|(cos a + i*sin a) |z| = sqrt(x^2 + y^2) cos a = x/|z| sin a = y/|z|…

• ALGEBRA1

What is the common difference of an A.P. if the first term is 2 and C(a8,a2)=C(a8,a5 +(2)) ?

We’ll re-write the terms of the arithmetical progression: a8 = a1 + 7d, where a1 is the first terms and d is the common difference. a8 = 2 + 7d a2 = a1 + d a2 = 2 + d a5 = a1 + 4d a5 = 2 + 4d…

• THE UNKNOWN CITIZEN

Why is a monument being erected by the State (the government) to the Unknown Citizen?…

The monument being erected for the Unknown Citizen is probably similar to the Tomb of the Unknown Soldier and other monuments praising those who have fallen and died in the line of duty. It should…

• ALGEBRA1

Verify if the function is odd or even? y=17x^3-12x^2

A function is odd if f(-x) = -f(x) and even if f(-x) = f(x) Here we have f(x) = y= 17x^3 – 12x^2 f(-x) = -17x^3 – 12x^2 f(x) = 17x^3 – 12x^2 -f(x) = -17x^3 + 12x^2 So we see that f(-x) = -17x^3 -…

• GUIDE TO LITERARY TERMS

Identify and explain the four elements of drama that don’t exist in short stories or novels.

The answer to this question depends on if the play is being read or if it’s being staged. The latter is its intended purpose, so I’ll focus on “live drama” versus “fiction.” 1. Live drama uses a…

Describe management and leadership theoretical models.

I think that different theoretical models bring out different aspect of leadership qualities. In the end, I think that individuals select a leadership model that is more suited to their own…

• SHAKESPEARE’S SONNETS

What 3 colours are referenced in Shakespeare’s poem? What do they symbolize?Sonnet 12 by…

Nothing escapes time. The only way to fight the inevitability of time is to procreate. And nothing ‘gainst Time’s scythe can make defence Save breed, to brave him when he takes thee hence….

• ROMEO AND JULIET

Summarize the main plot points from Acts 1 & 2Romeo and Juliet

As a five act play, Romeo and Juliet has a clear division of plot. Act I provides the exposition and Act II has the rising action. Here are some key features of these acts: ACT I The feud is…

• SHAKESPEARE’S SONNETS

In “Sonnet 12” by Shakespeare, how does he show the passing of time in the poem?

A key theme in Shakespeare’s sonnets is the passing of time and its inevitable impact on the beauty of the person addressed in these poems. The speaker seems concerned and deeply saddened by the…

• TRIGONOMETRY1

If sin B=1/4, pi/2 < B < pi, find the exact value of sin 3B

We know that sin 3x = 3 sin x – 4 (sin x)^3 Now sin B is given as 1/4. sin 3B = 3 sin B – 4(sin B)^3 => 3* (1/4) – 4(1/4)^3 => 3/4 – 1/16 => (12 – 1)/16 => 11/16 Therefore sin 3B = 11/16

• ARISTOTLE

Explain the role of catharsis in a tragedy?Explain why catharsis is important in a tragedy.

Catharsis refers to a purging of emotions, purification and sometimes a renewal resulting from pity, sorrow, sympathy or even laughter. Catharsis applies to the experience of a character or the…

• ALGEBRA1

What is the multiplicative inverse of 6-3i?

The multiplicative inverse of a term x is given by y such that x*y = 1. Now we have to find the multiplicative inverse of 6 – 3i Let it be x + yi (6 – 3i)(x + yi) = 1 => x + yi = 1/(6 – 3i)…

• TRIGONOMETRY MATH

Given sinx=1/4 and cosx=3/4 what is sec2x ?

We are given that sin x = 1/4 and cos x = 3/4. We have to find sec 2x. sec 2x = 1/ cos 2x cos 2x = (cos x)^2 – (sin x)^2 => (3/4)^2 – (1/4)^2 => (9 – 1)/ 16 => 8/ 16 => 1/2 So sec 2x = 2

• ALGEBRA1

What is x if 11^(5x-6)=1/11^(-x-10)?

We have the equation 11^(5x-6)=1/11^(-x-10) to solve for x. 11^(5x-6)=1/11^(-x-10) => 11^(5x – 6) = 11^[-( – x – 10)] => 11^(5x – 6) = 11^(x + 10) as the base is the same we can equate the…

• REFERENCE

who is biggest emperor between parents and teacher ??

I would say neither. Without a strong working bond between the 2, then the bond between the teacher and student is doomed for failure. I am a teacher in the Public school system in NY, and have…

• PHYSICS

How can the distance traveled during the first 10 second for the graph provided be found? The…

The velocity of an object is the change in displacement per unit time. The instantaneous velocity is the change in displacement divided by the duration of time taken with the duration of time…

• ALGEBRA1

What kind of equation is z^4-3z^2+2=0 ?

The equation you have given is z^4 – 3z^2 + 2 = 0. Here you can replace z^2 = x to get a quadratic equation in x which can be solved. z^4 – 3z^2 + 2 = 0 => x^2 – 3x + 2 = 0 => x^2 – 2x – x +…

• SCIENCE

Kindly tell me what do we mean by high polar orbits and low polar orbits?For example…

The orbit of a satellite going around the earth is described in reference to its orbit compared to the earth’s equator. If a satellite is orbiting the earth in an east-west direction it is called a…

• ALGEBRA1

We have to solve (x+57)/6=x^2 (x+57)/6=x^2 => x + 57 = 6x^2 => 6x^2 – x – 57 = 0 The roots of a quadratic equation ax^2 + bx + c = 0 are given by [-b + sqrt (b^2 – 4ac)]/2a and [-b + sqrt…

• REFERENCE

Where can I find a few good articles about SMOKING on college campuses?

Do your articles need to come from scholarly sources, or are popular media acceptable sources? Either way, you can find the sources you need with a good internet search, using Google or another…

• YOUNG GOODMAN BROWN

What is Hawthorne’s point in Young Goodman Brown?

If you are referring to the main idea or the lesson to be taught from Young Goodman Brown you can conclude that Hawthorne wanted to send a message to those who call themselves “holier than thou”….

• YOUNG GOODMAN BROWN

Who was corrupted in the story of Young Goodman Brown and how do you know this?

In the story, Young Goodman Brown is corrupted because he goes to meet with the devil. This could be literal or metaphoric, real or a dream. Meeting with the devil is not necessarily bad, but Brown…

• ALGEBRA1

What is the sum of the cubes of the roots of equation x^2=7-5x?

By definition, the roots of an equation, substituted in the equation, cancel out the equation. We’ll move all terms to one side: x^2 + 5x – 7 = 0 We’ll substitute x1 and x2 in the original…

• YOUNG GOODMAN BROWN

Were all the townspeople devil worshippers as Young Goodman Brown thought?

This is not clear. We never know if Young Goodman Brown actually experienced all of this or if it was a dream. Hawthorne did this deliberately. The story is about the duality of humanity. We all,…

• THE INTERLOPERS

Some literary critics claim that there is an element of cruelty to Saki’s stories. Do you think…

Unfortunately, you asked two questions, so I had to edit out the second one. This is an interesting question, and I suppose to some extent the answer depends on your perspective on life. In “The…

Please discuss the significance of three speeches by Satan in John Milton’s Paradise Lost.

Satan’s speeches in Milton’s Paradise Lost are interesting not only for what they say about the different topics he discusses but also for what they reveal or imply about Satan himself….

• MISS BRILL

What does the fur mean to Miss Brill?

The fur symbolizes Ms. Brill’s inner view of herself. It is fragile, hidden away, untouched, and unique. It is also different, and a bit unapproachable. She is quite fond of her fur, and she refers…

• HEALTH ISSUES

In the practice of yoga, pranayama is the ancient art and formal practice of controlling the breath. The basic technique includes settling the body and the mind in a quiet place and in a position…

• HUNGER OF MEMORY

What does Richard Rodriguez mean by the term “scholarship boy” in The Hunger of Memory?

The term that Rodriguez uses in his narrative helps to bring out several elements in both his character and the world he inhabits. The idea of a “scholarship boy” can be seen as economic. Simply…

• GO, LOVELY ROSE

What does the poem gain by apostrophe?

Poets use apostrophe so the speaker can address an abstract idea, quality, imaginary person or non-human object. This is a kind of extended personification because the speaker supposes that the…

• AS YOU LIKE IT

AS you like it Act 3 scene 2 How does Rosalind rule Orlando’s life??

When Orlando meets Rosalind, he does not recognise her in her disguise as Ganymede. Rosalind proclaims that she has the power to cure Orlando of his love-sickness if he visits her every day and…

• LITERATURE

How does the generic approach help in understanding a literary text?

Your question is good, but the phrasing struck me as a little odd at first. “Generic” is a word, of course, and it’s clearly an adjective form of the word “genre” (which, as you know, refers to the…