Determine the median of triangle ABC. The median starts from A and A(1,2), B(2,3) and C(2,-5).

# Determine the median of triangle ABC. The median starts from A and A(1,2), B(2,3) and C(2,-5).

• MATH

Determine the median of triangle ABC. The median starts from A and A(1,2), B(2,3) and C(2,-5).

Let D be the mid point of BC, Then the coordinates of D are (X cordinate of B+ Xcoordinate of C)/2 = (2+2)/2 = 2. Y coordinate of D = (Y cordinate of B+y coordinate of C)/2 = (3-5)/2 = -1….

• MATH

Which are x values in [0,2pi], for cos2x+cos3x+cos4x=0?

In order to find out which are x values, situated in the interval [0,2pi], we’ll try to solve the expression above, in order to find out the value of the unknown x. For solving the expression, it…

• MATH

Calculate (sin x)^2 + sin (2x)=0?

(sinx)^2+sin2x=0 We know that sin2x= 2sinx*cosx ==> (sinx)^2+2sinx*cosx=0 ==> sinx(sinx+2cosx)=0 Then sinx=0 or sinx+2cosx=0 First sinx=0 ==> x= n*pi , (n=0,1,2,…) For the other…

• MATH

Verify the identity sinx/(1-cosx)=(1+cosx)/sinx.

We need to verify that sinx/(1-xosx)= (1+cosx)/sinx We know that sin^2(x) + cos^2(x)=1 ==> sin^2(x)= 1-cos^2(x) ==> sin^2(x)= (1-cos(x))(1+cos(x)) ==> (sinx)(sinx)= (1-cosx)(1+cosx) Now…

• MATH

Which are solutions of equation lnx + ln(x+1)=2?

lnx+ln(x+1)=2 We know that lnxy= lnx+lny ==> lnx+ln(x+1) = lnx(x+1)=2 ==> ln(x^2+x) = 2 ==> x^2+x= e^2 ==> x^2+x-e^2=0 ==> x1=[-1+(1+4e^2)^1/2]/2 x2=[-1-(1+4e^2)^1/2]/2…

• THE CATBIRD SEAT

Why doesn’t Mr. Fitweiler believe Mrs. Barrows’ version of the story in Thurber’s “The Catbird…

As the main character in James Thurber’s short story, “The Catbird Seat,” Erwin Martin is an old fuddy-duddy who is a creature of habit and set in his ways. His boss, Mr. Fitweiler–though enamored…

• THE CATBIRD SEAT

What is the dominant point of view in the story “The Catbird Seat” by James Thurber? Why?

Although not a first-person narrative, “The Catbird Seat” is told from the point of view of Erwin Marin, the protagonist of the short story. It is done primarily because he is the man who has…

• IN ANOTHER COUNTRY

In what ways were the wounded soliders “in another country”? Were you in the same sitution, how…

We know that the narrator was wounded in his leg, and his ego was also wounded as he was the American soldier who got war medals “only for being an American”, and he began to feel the distance…

• THE CATBIRD SEAT

In “The Catbird Seat,” explain in detail how Mr. Martin and Mrs. Barrows are character foils.

A character foil is a person who contrasts with another character (usually the protagonist) in order to highlight various features of the main character’s personality. In this short story, Mr….

• MATH

The function f(x)=(2x+1)/(2x-1) has an inverse. Which is the inverse?

y=(2x+1)/(2x-1) Multiply by (2x-1 ==> y(2x-1)= 2x+1 ==> 2xy-y= 2x+1 Move x terms to the left side: ==> 2xy-2x=y+1 Factorize x: ==> x(2y-2)=y+1 ==> x=(y+1)/2(y-1) Then the inverse…

• THE COUP DE GRÂCE

Does the story’s Protagonist have more than one Antagonist?

you could have more than one antagonist in the story if you want to.

• IN ANOTHER COUNTRY

The tragedy in “In Another Country” is the Major’s attempt to adapt to normal life. What effort…

After the Major’s wife died unexpectedly, the Major’s shock was huge but bigger was his Stoicism. He did not show up at the hospital until three days later, wearing a black ribbon tied to his…

• CINEMA

Define “character foil” and name two from television.

Foil: Literally a “leaf” of bright metal placed under a jewel to increase its brilliance. (Holman & Harmon 198) Traditionally, a foil is a minor character who, through comparison and…

• THE LAGOON

Discuss Joseph Conrad’s short story “The Lagoon” as a story of moral dilemma.

“Lagoon” by Joseph Conrad presents a story of moral dilemma because the hero Arsat must choose between two moral values, differeing in goodnes only in the sense that one risks self and one rewards…

• THE CATBIRD SEAT

In terms of how suspense is developed in ‘‘The Catbird Seat,” discuss the use of…

In this humorous “mystery” a very prim and proper old man, Mr. Erwin Martin, works as a file clerk for a company called F & S, run by a Mr. Fitweiler. Mr. Martin is extremely organized,…

• HISTORY

What is the purpose of Juneteenth? How do people celebrate it?

Juneteenth is a holiday that is celebrated on June 19. 36 states in the United States observe it as an official state holiday. (This does not mean that it is a day off or anything like that,…

• IN ANOTHER COUNTRY

What do you think is the significance of the Major’ s interest in grammar in In Another Country?…

The significance of the Major’s interest in grammar is that grammar is the one part of language we can control. It is part of our monitor language (the other would be our natural language, the one…

• WUTHERING HEIGHTS

Why is madness often used in gothic literature? Im looking specificaly at Macbeth, Wuthering…

The Romantics believed in the Classical concept of nature. The natural world is like the Garden of Eden: a paradise, uncorrupted by mankind, the perfect synthesis of the divine, human, and…

• HEALTH ISSUES

Is it possible to get menopause confused with lymphomic cancer when first seeing signs, or…

Yes. Both menopause and lymphoma can have similar symptoms. Both can cause night sweats, and this appears to be the most prominent similarity. Fatigue is also symptomatic of both menopause and…

• REFERENCE

Dan Brown’s Digital FortressCan you describe the plot of this book? What do you think about the…

I haven’t read this book of Dan Brown’s, but I have read Angels and Demons, and The Davinci Code. I enjoyed them, but I liked The Davinci Code best. I loved the historical aspect he incorporated….

• HISTORY

What problems did the new territory west of the Appalachian Mountains pose for the new nation,…

To me, the main problem that this territory posed was the question of who would own it — which state or states would the various parts of the backcountry belong to? This was a problem for a couple…

• HISTORY

The American Revolution was successful because….?

In my opinion, it was succesful because the British people and government did not care as much about the outcome as the Americans did. This is similar to what happened to us in Vietnam. The…

• HISTORY

Many African Americans supported the struggle for American independence, but countless others did…

The ideals of the Enlightenment that fueled the American Revolution, i.e. that “all men are created equal” were, sadly, just that — ideals. They were lofty ideals on the part of the founding…

• JOHN MASEFIELD

In the poem Laugh and Be Merry, what is meant by ”the strong red wine of His mirth”?

This question is already answered …. but we may look at it in this way probably that … the red wine is the blood that God fills in us and wants us to be merry too like Him the way He was merry…

• SCIENCE

any topic of sciencei want to make a chart on any topic of science. i want the best and most…

The impressiveness of your chart is going to be directly related to how well you know your topic and how thoroughly and entertainingly you present it. What interests you? What topics do you know…

• THEIR EYES WERE WATCHING GOD

What themes does Hurston expose throughout Their Eyes Were Watching God?What are the main themes…

There are many possible themes present throughout this novel. I’ll focus on three here: the finding of one’s voice and self-identity the role and power of storytelling the ever-present influence of…

• MATH

What is the probability that the total of two dice will be greater than 8, given that the…

The probability of total of two dice is greater than 8. and we know that the first die is 6 then the options are: (6,3) (6,4) (6,5) (6,6) Then, we already have the first die 6, then the options for…

• POETRY

Compare and contrast between the Romantic period poets with the Victorian period poets.

Romantic period poetry is specialized for its advocacy of the common person as subject matter and common language as a fit language for poetry, as was propounded by Wordsworth in Preface to Lyrical…

• THE JILTING OF GRANNY WEATHERALL

In the end of the story we realize that Granny Weatherall had NOT achieved the spiritual redemption that she attempted to obtain by asking God for a sign to “another life”. This, however, was…

• ROMEO AND JULIET

At the start of I,2 Paris tells Lord Capulet that he is interested in marrying Juliet. How does…

I think you are asking how Lord Capulet responds to the request. I have changed your question to show that… What Lord Capulet does is he asks Paris if he might want to let things wait a little…

• TO AUTUMN

Show how relevant are the theme, technique, and imagery of Keat’s poem “To Autumn” to the…

John Keats’ “To Autumn” is an ode, which is a lyric poem that addresses and honors a subject–in this case, nature. Romantics, as you know, esteem nature. The poem also uses the metaphor of…

• MATH

If f : R -> R, f(x) = ( x-2 )^1/2 , x > 2 and f(x) = (2-x), x < 2 . The function is…

Supposing that you want to find out the nature of the function, we’ll give to x different values. We’ll try to prove that if x1 is different from x2, we’ll obtain f(x1)=f(x2). So we’ll plug in 2…

• MATH

Solve the equation [ x^2 + x + 1 ] = x + 1

Because you did not specified that [ x^2 + x + 1 ] is an integer part, we’ll assume it and apply the definition of the integer part, which is [a]<a<[a]+1 We note that [x^2 + x + 1] belongs to…

• MATH

Solve the logarithmic inequations sistem below log 2 [( x + 1 )/( x + 3 ) < 2 and log 1/2 ( 2x…

To solve log 2[( x + 1 )( x + 3 ) < 2 and log 1/2( 2x – 3 ) <3 Solution: From the left, log2(x+1)(x+2) <2. Or Taking anti log (base of log is 10) 2(x+1)(x+2) < 10^2. Or (x+1)(x+2)…

• SOCIAL SCIENCES

Does the financial crisis of 2007 have any link to the stock market crash of 2008?I am writing a…

To most people, the financial crisis started in 2008 at around the same time the stock market crashed. If you are talking about a financial crisis in 2007, you are presumably talking about the…

• MATH

Find the lenghth of AB sides of ABCD parallelogram AD = (3/5)AB . Perimeter of ABCD is 11.2 cm .

We know that the perimeter of this figure must be equal to the sum of 2 times each side. So 2AD + 2 AB = 11.2 We know that AD is 3/5 of AB and 3/5 = .6. So AD = .6 AB Now we substitute — we put…

• MATH

Which is the limit of the function lim( 1 + 1/7x )^x where x -> infinite ?

To find Lt [1+1/(7x)]^x as x–>inf. Solution: We know that Lt {(1+a/n) ^n as n–> inf } = e^a. In the present case, Lt {[1+(/7)/x]^x as x–>inf}, a= 1/7. n –> infinity or x–>…

• SCIENCE

Does not eating meat make your hemoglobin drop?

Hemoglobin is the oxygen-carrying protein in your red blood cells, and is necessary in order for oxygen to reach the cells of your body effectively. Not eating meat *can* make your hemoglobin level…

• ARTHUR CONAN DOYLE

Describe Sherlock’s character in 3 adjectives using specific examples from the following three…

In The Adventure of the Speckled Band, Holmes is observant. Of course, this applies to him in ALL of the stories, but in this particular one, in the very beginning, he uses his powers of…

• MATH

Write the ellipse equation if the semiaxis are 5 and 2 and the major axis is 10 and the focal…

The standard ellipse equation is : x^2/a^2 +y^2/b^2=1 where a and b are the semi axis We know that the semi axis are 5 and 2 Now we have the focal distance is 2c=8==> c=4 but c^2= b^2+a^2 ==>…

• MATH

Solve the inequation x^2 – 4x – 12 > 0

X^2-4x-12>0 First we will solve the inequality just like we solve any quadric equation. x^2-4x-12>0 (x-6)(x+2)>0 That means that both terms are either negative or both positive: OR…

• MATH

If we have two sets A = { x belongs to Z, with property 3/(x-2) belongs to ZB = {x belongs to Z…

x is an element of A where x belongs to z That means that x should be an integer (1,2,3…) We have 3/(x-2) is an integer , then (x-3) should be divided by 3. Then (x-2) should be either 3,-3, 1,…

• SCIENCE

TeachingDo you prefer that a teacher stick in a certain subject in class time or talk about…

I agree with you, but I think that teachers need to be careful so that they don’t spend too much time on topics that are not related to the class. It is always good to have a change of pace, but…

• MATH

Find out the first term and the ratio in a arithmetic progression. We know the 3rd term = 7 and…

We can see that the interval between each of the terms of this arithmetic progression must be .25. We know that the interval between terms of this kind of progression must always be the same. We…

• MOBY DICK

Why were the men surprised that Ahab wanted them to hunt a right whale in Moby Dick?Please help…

Right whales are not ordinarily hunted by respectable whalers. They are thought to be “inferior creatures,” and most whalers “disdain” putting forth effort to capture them. The Pequod specifially…

• THE RAVEN

How does Edgar Allan Poe portray and develop the emotional dynamics in his poetry such as The…

If you read the poem here on eNotes, you will see that the mood of horror and masochism builds as the poem progresses. In the beginning, the speaker is in his study, musing, when he hears a sound,…

• SCIENCE

What is the difference between hormone therapy and hormone replacement therapy?I am writing a…

Hormone replacement therapy is an older way of describing what is now called hormone therapy. There is no difference as such. In hormone therapy, an external hormone is given to the person for…

• CONAN DOYLE

Explain how is Watson character revealed in the way he narrates the story and talks with…

The Sherlock Holmes dynamic is one of the greatest duos in literary history. Here are some general thoughts about Watson (you’re on your own for specific examples): He is the perfect foil of…

• A POISON TREE

What words in stanza 2 show that the speaker is now talking of his anger as if it were a seed or…

The speaker’s perserveration over the perceived slight is what serves as the water and sunlight for the anger plant. And I watered it in fearsNight and morning with my tears,And I sunned it with…