What is the meaning of this quote "My only love sprung from my only hate! Too early seen unknown, and known too late!"it is a quote from the play...

Juliet finds herself deeply in love with a young man she
met at a party at her home. Surrounded by other young men, he catches her eye. Not
knowing his name, she asks her nurse, the woman who essentially raised her who this
stranger is. The nurse informs her that he is Romeo, the only son of the Montague
family, her family's rivals.

She remarks to her nurse that
her only love, her soulmate has to come from a family her family is sworn to hate. Her
comment of known too late reflects her feelings that she has already fallen in love with
Romeo, despite whom he is.

This relates to today because
many young people find themselves attracted to others that may not be acceptable to
thier family because of race, religion, ethnic background, socio-economic status or
political beliefs.

What is the area of the largest square that can be fit in a circle of radius 6 cm?

To find the area of the largest square that can be fit in
a circle, let’s see what happens when the square is drawn. We find that for a square all
four corners of which lie on the circle, the diagonal of the square is equal to the
diameter of the circle.

Here the radius is 6 cm and the
diameter 12 cm. Now if a square has sides s, the diagonal has a length sqrt (s^2 + s^2)
= s*sqrt 2

So s* sqrt 2 = 12

s
= 12 / sqrt 2

The area of the square with side 12/ sqrt 2
is = 144 / 2 = 72.

Therefore the area of the
largest square that can fit in a circle of radius 6 is
72.

Do you have any information about a British journalist named William Thomas Stead?I am doing a project on him and I cannot use wikipedia or...

William Thomas Stead (1849-1912), was a British journalist
and editor. He is considered to be one of the pioneers of modern journalism practices. 
He helped to create newspapers that were easy to read and had popular
appeal.

He was editor of the Pall Mall Gazette, a London
evening paper, from 1883 to 1889.  In 1885, he published an exposure of vice that helped
to change vice laws.  But, during his campaign, he broke the law and was jailed for
three months.

Stead had a great influence in making
journalism a tool for social change, and for supporting worthy public causes. Through
the medium of the monthly journal Review of Reviews, which he
founded in 1890, he crusaded for diverse causes such as  as British-Russian friendship,
stopping child prostitution, the reform of England's criminal codes, and the maintenance
of international peace. He adopted a very bold approach in investigating and
establishing the truth of his writings. This sometimes led to problems for him. He was
even jailed for three months, for actions he took to establish the minor girls were
being sold and purchased for prostitution.

Stead also
founded a newspaper in 1904, but it failed, and he narrowly avoided
bankruptcy.

In "The Gift of the Magi", I need a quote that can be used to link it to a theme of "material items bring joy".

This is a rather interesting question, because actually,
the gifts that Jim and Dell sacrifice so much for, whilst at first are greeted with joy,
are then greeted with unhappiness at first when they realise what both have done. For
example, consider how Dell responds to the gift of the
combs:

And
then an ecstatic scream of joy; and then, alas! a quick feminine change to hysterical
tears and wails, necessitating the immediate employment of all the comforting powers of
the lord of the flat.

So, it
is a little difficult to find a quote proving that material gifts bring joy, except if
you are thinking about how material gifts give more joy to the giver than to the one
receiving the gift. Consider how Dell is presented when she gives Jim his
gift:

Jim had
not yet seen his beautiful present. She held it out to him eagerly upon her open palm.
The dull precious metal seemed to flash with a reflection of her bright and ardent
spirit.

Note how her gift
mirrors her "spirit" and the joy she has of giving him this
gift.

So, to conclude, I suggest you think about how giving
gifts gives more joy to the one giving them than the person receiving the gifts. Really,
this is a story about self-sacrifice and the love that drives Jim and Dell ironically to
give what is dearest to both of them up for the other.

Solve for x and y : (1-2i)*x + (1+2i)*y = 1 + i

We'll note the complex number from the left side as z1 and
the complex number from the right side as z2.

For z1 = z2,
we'll have to impose the following conditions:

Re(z1) =
Re(z2)

Im(z1) = Im(z2)

To
determine the real and imaginar parts of the complex number from the left side, we'll
have to remove the brackets:

(1-2i)*x + (1+2i)*y = x - 2ix
+ y + 2iy

We'll combine the real parts and imaginary
parts:

Re(z1) = x+y

Im(z1) =
-2x + 2y

Re(z2) = 1

Im(z2) =
1

x+y = 1 (1)

-2x + 2y = 1
(2)

We'll multiply by 2
(1):

2x + 2y = 2 (3)

We'll add
(3) to (2):

2x + 2y - 2x + 2y =
2+1

We'll eliminate like
terms:

4y = 3

y
= 3/4

We'll substitute y in
(1):

x+y = 1

x + 3/4 =
1

x = 1 - 3/4

x =
(4-3)/4

x =
1/4

In All My Sons, how does the central character cause other characters to change?(I think that the answer is Joe Keller.. But I'm not sure.. and I...

Joe Keller is the protagonist of All My
Sons, and his actions revolving around his decision to harbor a grave secret for many
years do have a significant impact on the other characters in the story.  For example, his
marriage to Kate is strained because she is the only person who knows the truth, Steve Deever is
imprisoned as a result of the lie, and Joe's son Chris is shattered at the end of the play when
he learns the truth about his father.

However, the central character
whose life causes all the characters in the play to change is actually not really a character in
the play--the Kellers' other son Larry is a pivotal figure in the play because his disappearance
and later the voicing of his ideals are what propel the characters to reconsider their own
values.  When the play opens, the men are trying to keep Kate from finding out that Larry's
memorial tree has been felled by a storm.  Kate truly believes that Larry is still alive and that
he will one day return.  It becomes clear that everyone else has serious doubts about Larry's
return, but Kate maintains hope.  Near the end of the play, Ann reads a letter to the family that
Larry sent to her before he committed suicide.  He questions the nature of brotherhood and the
responsibility (or lack thereof) that people feel towards each other.  After this revelation, the
characters begin to reconsider their own values:  Joe confesses to his crime, Chris re-visions
what he wants from life, and Kate must come to terms with her son's
death. 

So, Larry is really the character who causes others to
change.

What is the crime in "Going to Meet the Man"?

Guilt and crime operate at different levels in the short-story
and acquire different meanings according to the different racial points of
view.

As deputy sheriff Jesse thinks about the condition of whites
in the South, he cannot help thinking that they are "accomplices in a crime". This sudden
revelation takes him back at the time of his childhood when he was brought to witness the
castration of a black man accused of having raped a white woman. As he sees the castration, young
Jesse wishes that he was the person performing the act against the black man. This event is
crucial in defining Jesse's life and his racism. It also causes him to identify as a rapist twice
in the course of the story. He first shouts at a black civil rights leader in jail “You lucky we
pump some white blood into you every once in a while—your women!”. Then, at the end of the story,
he explicitly identifies with a "nigger" telling his wife he's going to make love to her as if he
was a black rapist: “Come on, sugar, I’m going to do you like a nigger, just like a nigger, come
on, sugar, and love me just like you’d love a nigger.” Jesse stops projecting his own repressed
guilt onto black men and becomes himself guilty of rape. This has been interpreted as Jesse's
increasing awareness of his guilt and thus as a possible sign of his becoming cured of it. Yet,
to the eyes of the white society, this acceptance of guilt would be a betrayal of the
race.