Determine a distance from origin of x axis to the line that passes through the points (1;1) and…

# Determine a distance from origin of x axis to the line that passes through the points (1;1) and…

• MATH

Determine a distance from origin of x axis to the line that passes through the points (1;1) and…

To find the distance from origin to the line that passes through (1,1) and (2,3) : The line passing through (x1,y1) and (x2,y2) is y-y1 = {(y2-y1)/(x2-x1)}{x-x1). So the line through the given…

• MATH

Find a if a + a^-1 = 2. Find x if 5^x = a

a+a^-1 = 2 . To find the x in 5^x=a. a+1/a =2 a^2+1=2a a^2-2a+1 = 0 (a-1)^2 = 0 so a -1 = 0 a= 1. Therefore to find x in 5^x = a = 1 5^x = 1 = 5^0 Equating the powers, we get: x = 0.

• MATH

Rectangle lengthThe lenghts of arectangle is two inches more than its width. If the lenghth is…

Let l and w be the length and width of the rectangle. The 1st condtion is: l = 2+w ……….(1) The area of the rectangle = lw. The new mearements : l+4 and 2w . Then the area = (l+4)(2w) =…

• MATH

Given the real number a calculate tan2a if sina + cosa = 1

sina+cosa = 1 To find tan 2a . We put cosa = sqrt(1-sin^2a) in the given equation: sina +sqrt(1-sin^2a) = 1 sqrt(1-sin^2a) = 1-sina. Square both sides: 1-sin^2a = 1 -2sina +sin^2a 0 = -2sina +…

• PLATO’S REPUBLIC

What are your thoughts on Plato’s Republic?What are your thoughts on Plato’s Republic?

I think that the vision Plato gives the reader is one that is predicated upon the idea that there is a singular and true essence that is to be pursued in order to establish a meaningful life. It…

• THE WITCH OF BLACKBIRD POND

In The Witch of Blackbird Pond, what was Nat’s punishment?

You might find it useful to refer to the specific part of the novel that your question pertains to. This section of the novel comes in Chapter 19, when Nat so gallantly and bravely returns to…

• MATH

The base of the rectangle is 3 less than twice the height. If the area is 135 square inches, find…

Let: x = Height of rectangle Then as per given conditions: Base of rectangle = 2x – 3 Area of rectangle = Height*Base = x*(2x – 3) = 2x^2 – 3x It is given that: Area = 135 square Inches Therefor:…

• MATH

Determine all linear function if f(f(x)) = 4x + 3

f(f(x) )= 4x+3. To find f(x). Let f(x) = ax+b a linear function. Then f(f(x) = a* (ax+b) +b = a^2x+ab+b Therefore a^2x+(ab+b) must be equal to 4x+3 as given. So we equate the coefficients of…

Discuss what technological breakthrough has brought a radical change in Human Resources Management?

One technological breakthrough, the use of online social networking as part of an employee profile and review process of a potential applicant for a position, has transformed how employer…

• MATH

Solve the equation 2^x + 4^(x+1)/2 = 12

To solve 2^x+4^(x+1)/2 = 12. Rewrite as: 2^x+4*4^x /2 = 12 2^x+2*(2^x)^2 = 12 , as 4^x = (2^2)^x = (2^x)^2 y +2y^2-12 = 0, where y = 2^x. 2y^2 +y-12 = 0 y = {-1+sqrt(1+4*2*12)}/4 y =…

• MATH

Check if the function f(x)= 10x^2 – 2x + 5 as extreme values.

The extreme values of f(x) is the solution for x in f'(x) = 0. So we find f'(x). Abd equate it to zero and solve for x. f(x) = 10x^2-2x +5 . f'(x) = (10x^2-2x+5)’ f'(x) = 20x -2. f'(x) = 0…

• MATH

The product of two consecutive positive integers is 75 more than nine times the second integer….

If one positive integer is x, then the other positive consecutive integer is x+1. Their product is x(x+1) . Again given that product x(x+1) = 75 more than 9 times the second integer. So x(x+1)…

• MATH

Find the roots of the equation 2x^2-3=5x using factors

2x^2 – 3 = 5x ==> 2x^2 – 5x – 3 = 0 ==> 2x^2 + x – 6x – 3 = 0 ==> x(2x +1) – 3(2x +1) = 0 ==> (2x + 1)(x – 3) = 0 Roots of the equation are obtained by equating each of the two factor…

• HAMLET

If you were in Hamlet’s position what would you do to achieve revenge?

The first question I would address would be whether revenge is an appropriate act at all. This is not an inconsequential step, in that it is the one that Hamlet is stuck on throughout most of the…

• PHYSICS

In a parallel circuit , the joint resistance is 8 ohms . If one resistor is 12 ohms less than the…

The joint resistance R for the parallel circuit is calculated as: 1/R = 1/r1 + 1/r2 We know, from enunciation, that r1 = r2 – 12 We’ll substitute the known value into the formula of joint…

• ESSAY LAB

What is an original title for a narrative about a family who is in cancun mexico and has to goes…

Titles should give a clue about what your audience will discover in and through the story. It should be sublte rather than hitting them over the head with obviousness. Perhaps something like…

• OF MICE AND MEN

How does John Steinbeck present George as a character in Of Mice and Men ?quotes with page…

It is interesting that Steinbeck names his bear-like, massive character Lennie Small, while the “small and quick” man who accompanies him through the willows in Chapter 1 as George Milton. Named…

• THE LOVE SONG OF J. ALFRED PRUFROCK

In “The Love Song of J. Alfred Prufrock” to whom is Prufrock speaking? How do you know?

This is a good question, because you would expect a love song to be addressed to the person that you love; that is, really, the entire point. You want to pledge your love and devotion, and…

• MATH

A side of a regular hexagon is three less than twice the length of a side of a regular decagon.If…

Let x and y be the sides of the regular hexagon and decagons respectively. Then the perimeter of hexagon and decagons are 6x and 10y respectively. As the perimeters of both of them are said to be…

• ANIMAL FARM

To find the answer to this question you need go no further than the first chapter and the part when Boxer and Clover are introduced. This clearly presents us with a good image of Boxer as a horse…

• MATH

Determine the angle a for arcsina + arcos1/2 = pi.

arc sina+ arxco(1/2) = pi. We know that sin(A+B) = sinAcosB+cosAsinB . Therfore taking sine of both sides ofthe given equation, we get: sin (arcsina) cos(arccos(1/2) +cos(arc sina) sin( arc…

• MATH

The sides of a pentagon are represented by x , x+4, 2x+1, 2x+2, 3x. Determine each side if the…

The perimeter of the pentagon can be calculated as sum of the measure of the sides. Thus adding the given values of the sides of pentagon : Perimeter = (x) + (x + 4) + (2x + 1) + (2x + 2) + (3x) =…

• MATH

Determine the intercepting point of the lines 3x + 4y = 11, -x + y = 11

The point of intersection of the two lines will satisfy the equations of both the lines. Therefor this point can be found by solving the equation of lines for x and y. Given equation of lines are:…

• MATH

Each side of a regular octagon is represented by 5x-6 . What is x if the perimeter is 72.

Given: Each side of the octagon = 5x – 6 Therefor: Total of all 8 sides of the octagon = Perimeter = 8*(5x – 6) = 40x – 48 It is given: Perimeter is equal to 72. Therefor: 40x – 48 = 72 ==>…

• MATH

Evaluate the derivative of y=x^3/3 – 2sqrtx for x=3

Given: f(x) = y = (x^3)/3 – 2*x^(1/2) Therefore: Derivative of y = f'(x) = 3*(x^2)/3 – (2/2)*x^(-1/2) = x^2 – 1/ (x^1/2) Derivative of y for x = 3 is given by: f'(3) = 3^2 – 1/(3^1/2) = 9 – 0.5774…

• RELIGION

I am confused about the difference between certain practices of eastern religions: yoga,…

Yes you are right to some extent. The term yoga, as used popularly, refers to a system of disciplines exercises for the body and the mind. These exercises or disciplines are largely based on the…

• TO KILL A MOCKINGBIRD

Why does Miss Maudie refuse to go to the trial in Chapter 16 of Harper Lee’s To Kill a…

Unlike the rest of the town, Miss Maudie is not interested in the “spectacle” of the trial. People are coming out in huge crowds and groups to watch (in Miss Maudie’s accurate prediction) “a poor…

• WILLIAM SHAKESPEARE

It is good that you would like the description of Shakespeare’s marriage to be brief, since very little is known about Shakespeare’s life, his marriage included. He was married to Anne Hathaway at…

• THE SCARLET LETTER

How were shame, guilt, and revenge utilized to contrast the three main characters, Hester Prynne,…

The nature of this question lends itself to a very lengthy answer, likely one that could be analyzed in a full five paragraph essay. I will give you some beginning points to help you get started….

In “The Cask of Amontillado”, can you think of any other villains that share some of Montresor’s…

You know, for some reason, what comes to mind is a series of James Bond villains, who are ferociously intelligent, agile and quick with their brains, but hideously unaware of their motivations and…

• SCIENCE

Teaching Science to ChildrenWhat are some factors that affect children’s learning, and how do…

Younger children are naturally curious, and have much more capacity for imagination than adults or older students. You can capitalize on this in the classroom, the lab and outdoors by teaching…

• NO EXIT

What is the literary, symbolic, and thematic purpose of the paper-knife in Sartre’s No Exit?

The paper knife represents the futility of any of the character’s efforts to cut through what each is, or to terminate their existence in the room. After Garcin in his frustration shouts for the…

• KING LEAR

“There was never yet fair woman but she made mouths in a glass.” What does Shakespeare mean by…

This is spoken by the Fool in Act III, scene ii, at the height of the storm, after Lear has been kicked out to fend for himself against the elements. The Fool, of course, is Lear’s devoted…

• LITERATURE

Compare and contrast between tragedy and the whole truth

In the most broad of senses, I would say that one level of differentiation between the two is that the whole truth might not be one of tragic proportions. I think that the idea of tragedy is one…

• HISTORY

What was the main idea of the Atlanta Compromise speech given by Booker T. Washington?

Washington’s speech argued that the new landscape of post Civil War America lent itself for African- Americans to be a valuable component. I think that this is seen in Washington’s call for…

If a credit card company charges 2% per month, how much would a person have to pay in interest…

As some of the student answers point out, the credit card company charges 2% per month as compounded interest. This means that at the end of each month, the interest of 2% is taken not of the…

• MATH

If the equation x^2+ (y+1)x -1 =0 has equal roots what are the values of y

We’ll try to calculate the value of y using Viete’s relations: x1 + x2 = -b/a x1*x2 = c/a We’ll identify the coefficients of the equation: a = 1 b = y+1 c = -1 We also know, from enunciation, taht…

• MATH

Find x for (x^2 – 16)^2 + 2x^2 – 28 = 0

We’ll substitute x^2 by a and we’ll transform the expression into a quadratic equation. (x^2 – 16)^2 + 2x^2 – 28 = 0 x^2 = a (a-16)^2 + 2a – 28 = 0 We’ll expand the square: a^2 – 32a + 256 + 2a -…

What is a CDO?

CDO is an acronym for collateralized debt obligation. These are securities taht have been created with pooled bonds, loans and other debt assets, which are different forms of debt. The pools of…

• SCIENCE

What is the difference between RGB and CMYK?

RGB and CMYK are two formats for creating colors. RGB is used for color creation on the screen. It has three basic colors, red, green and blue. The LEDs on the screen light up according to the…

• HISTORY

What was the main topic of Du Bois’ essay?

The idea of “the talented tenth” discusses the notion of where political power and change for African- Americans will originate. The idea in Du Bois’ speech is that only one out of ten African-…

• RICHARD III

Why was Hastings imprisoned before the start of Richard III?

The issue at the opening of the play is who has sent Hastings to prison, rather than what he was imprisoned for. This is an important distinction, as it emphasizes the political nature of being…

• SCIENCE

physicsA force is applied to a 2.1 kg mass and produces 5.7 m/s2 acceleration.What acceleration…

Force is the product of the mass of the body on which it is applied multiplied by the acceleration produced. One Newton of force accelerates a body of 1 kilogram mass by 1 m/s^2. In the question…

• THERE WILL COME SOFT RAINS

Why did Ray Bradbury title his story “There Will Come Soft Rains?”

To see why Bradbury gave his story this title, just look at the poem by Sara Teasdale that the house recites before the fire starts. In this poem, Teasdale is saying that nature will not care at…

• HISTORY

How does the Bill of Rights bring to life the Enlightenment philosophy expressed within the…

In the Declaration of Independence, we are told that all people have the inalienable rights to life, liberty, and the pursuit of happiness. But what do those things mean? Life is pretty obvious,…

• THE MOST DANGEROUS GAME

Do you think the author is trying to teach a lesson in the story The Most Dangerous Game?Do you…

“The Most Dangerous Game” is a great story; and, like most great stories, there is certainly something for readers to learn. In this case, the character who grows and changes is Rainsford, so it’s…

• TEACHERS

Which of the following authors is most appropriate for a 3rd grade boy who is a reluctant reader…

Paulsen is probably the best bet for adventure stories. However, his language and settings might be a challenge for third graders. He is mostly seen in middle school reading curriculum or upper…

• E. HOUSMAN

What is the gist of what “On Wenlock Edge the Wood’s in Trouble” by A. E. Housman is about?On…

This very interesting and stirring poem by A. E. Housman, “On Wenlock Edge the Wood’s in Trouble,” is the poetic speaker’s lament for his supposed fate. It is constructed as a double metaphor that…

• JAMES BALDWIN

In “Sonny’s Blues,” why has Harlem become a den of darkness and destruction that has lead to why…

The answer is quite simple. Harlem is a neighborhood that is afflicted with the dual diseases of poverty and racial discrimination–that is, it is home to African-Americans who are discriminated…