Find the perimeter of the triangle whose sides are (2,1) (4, -1) and ( -6, -5)

# Find the perimeter of the triangle whose sides are (2,1) (4, -1) and ( -6, -5)

• MATH

Find the perimeter of the triangle whose sides are (2,1) (4, -1) and ( -6, -5)

Let ABC be a trinagle such that: A(2, 1) B(4, -1) and C(-6,-5) Then , to calculate the perimeter, we need to calculate the length of each side. ==> l AB l = sqrt(4-2)^2 + (-1-1)^2 = sqrt(4 + 2)=…

• MATH

-6cosx*sinx + 3cosx – 14sinx + 7 = 0 Solve for x

-6cosx*sinx + 3cosx – 14sinx + 7 = 0 First let us rearrangle terms: ( -6cosx*sinx + 3cosx ) + (-14sinx + 7) = 0 Now let us factor -3cosx and -7 from both terms: ==> -3cosx( 2sinx – 1) – 7(…

• MATH

If 3sec^2 x – 4 = 0 find x value

If 3sec^2 x – 4 = 0 First we will add 4 to both sides: ==> 3sex^2 x = 4 Now divide by 3: ==> sec^2 x = 4/3 Now we will apply the square root for both sides: ==> sec x = sqrt(4/3) ==>…

• MATH

2cosx + 1 = 0 find x values for the interval [0, 2pi]

2cosx + 1 = 0 First we will move 1 to the right side by subtracting 1 from both sides: ==> 2cosx + 1 – 1 = 0-1 ==> 2cosx = -1 ==> now we will divide by 2: ==> cosx = -1/2 Now we know…

• PHYSICS

Questions based on circular motionAn air puck of mass 0.034 kg is tied to a string and allowed to…

According to the information provided we have one string that connects two objects. On one of the ends is a puck that is revolving on a horizontal, frictionless surface and on the other we have an…

• TEACHER TIPS

Reviewing for TestsAs a second year teacher I find myself growing weary of the games and review…

Frustrating, isn’t it? We’re often evaluated on the basis of these test scores, but teaching to that test involves some of the least effective, least significant ways for students to learn. I…

• THE GLASS MENAGERIE

Explain “The Annunciation” in The Glass Menagerie.My question was not answered. I am a member….

I can sense your frustration, but let me explain why your question has probably not been answered. I like answering questions about The Glass Menagerie, but when I looked at yours earlier I could…

• RELIGION

Significance of Seventh Day Adventist ReligionWhat do you think is the the significance of the…

• LAW AND POLITICS

What are some important facts about the Bill of Rights?Can you put it in sentence?

If you are talking about the Bill of Rights of the United States, here are some important facts about it. First, the Bill of Rights is made up of the first 10 amendments to the Constitution. They…

• EMILY DICKINSON

Did Emily Dickinson use multi-layered metaphors in her poetry?

I am slightly confused by what you mean by “multi-layered metaphors.” Do you refer to extended metaphors? These are defines as metaphors that are carried on through a series of lines of poetry,…

• THE PIONEERS

How do you write this book using footnote form and begining with superscript 1 The Pioneers by…

The last section of your question was cut off, making it impossible for someone to give a full answer. Use the second field to type out the rest of the text. Also, name the citation style, if you…

• THE GREAT GATSBY

What are 2 quotes in Chapter 2 that display Nick Carraway’s importance to the novel?Any 2 quotes…

• LAW AND POLITICS

Where is Great Britain’s constitution located?I thought Great Britain doesn’t have constitution

You are right — Great Britain does not have a constitution. At least, it does not have a written one the way that the United States does. When people refer to the British constitution, they are…

• THE GUEST

In “The Guest,” the prisoner’s name is never mentioned; he is referred to as “the Arab”. Why…

The fact that the prisoner is not given a name is important in the story. A name personalizes us, singling us out as individuals. Since the prisoner is not given a name, he assumes more importance…

• THE GUEST

We earn of Daru’s physical stature in this selection. Infer why Daru’s build is noteworthy to…

Camus’ short story, “The Guest,” is set in colonial Algeria during a harsh winter drought in an area that is very poor. The barren landscape is difficult for travel and farming. New shipments of…

• HARRY POTTER AND THE SORCERER’S STONE

What literary techniques does J.K. Rowling use in Harry Potter and the Sorcerer’s Stone?

If you want to be very detailed in this answer, as you read you should search for examples of figurative language (similes and metaphors). Rowling uses several in all the Harry Potter books. On a…

• HISTORY

Explain how Progressives worked to change society and government in the late 1800s and early 1900s.

Basically, the Progressives tried to do two main things. They tried to take governmental power from the rich and the poor and give it to the middle class. Second, they tried to encourage and/or…

• SCIENCE

Describe the two types of cellular transport.

There are two categories of cellular transport: passive transport and active transport. In passive transport, the cell doesn’t use any energy to facilitate the motion of particles from one location…

• TWELFTH NIGHT

“The way conflicts and contrasts are resolved along with the theme of ‘mistaken identities’ make…

Very thorough essay question, but interestingly I would have to disagree with it, which would make for an interesting response! Firstly, I do think this is a successful comedy – there are clear…

• ALL MY SONS

In All My Sons, how does Miller present Joe Keller as both the tragic hero and villain?

This is a great question, focussing on the ambiguity of this central character to the play. Your answer will want to focus on the presentation of Joe Keller in the play, and how, in a sense, he is…

• ELEGY WRITTEN IN A COUNTRY CHURCHYARD

Compare and contrast the tone of these two poems.Please compare and contrast the tone in two…

The two poems deal with the topic of death. This is the commonality that they share. However, because the circumstances of the dead in each poem are so different, the author’s tone for each is also…

• REFERENCE

One factor that certainly affects children’s ability to read is their physical development. Studies have shown that boys develop physically later than girls, and this condition affects the ability…

• RELIGION

What are some of the principles of the Seventh Day Adventist religion?I’m writing a 6 page paper…

So far as I can remember, SDA principles are largely the same as those of other Christian sects — belief in the Trinity, the divinity of Jesus, etc. There are a couple of principles that might…

• DAVID IVES

In the play “Sure Thing” by David Ives, how many “characters” were in this play? Was it only the…

In David Ives’ play “Sure Thing,” the two characters are Bill and Betty. These two meet in a restaurant. It seems that the story is based on maintaining political correctness. Bill goes to the…

• RELIGION

How is the Seventh Day Adventist religion different from other religionsI’m doing a paper on the…

When I was a kid, I attended SDA elementary school because that was the only school on my island that was conducted in English. Here’s how I see them being different from other Christian sects:…

• THE TEMPEST

What is the significance of the chess game in The Tempest?

The game of chess occurs towards the end of this excellent play in Act V scene i, during a conversation between Prospero and Alonso, who believes his son, Ferdinand, is dead. In what is reminiscent…

• MATH

3*2^2x + 2*3^2x = 5*6^x. Find x .

3*2^2x + 2*3^2x = 5*6^x let us rewrite : 3*2^2x + 2*3^2x = 5*(2*3)^x 3*2^2x + 2&3^2x = 5*2^x * 3^x ==> 3*2^2x – 5*(2^x)(3^x) + 2*3^2x Let 2^x = a and 3^x = b ==> 3a^2 – 5ab + 2b^2…

• MATH

Solve the equation (x+2)^1/2-(2-x)^1/2=2.

(x+2)^1/2-(2-x)^1/2=2 First we will square both sides: ==> [(x+2)^1/2 – (2-x)^1/2] = 2^2 ==> (x+2) – 2sqrt(x+2)(2-x) + (2-x) = 4 ==> (x+2 + 2 -x) – 2sqrt(-x^2 – 4x + 4) = 4 ==> 4 -…

• HISTORY

Describe how the nullification crisis was settled.

Basically, the nullification crisis was handled because Andrew Jackson acted with a combination of toughness and gentleness. Andrew Jackson was a Southerner and so his attitude mattered a lot….

• MATH

2^(x+y) = 32. x*y=6 What are x and y?

We’ll write 32 as a power of 2. 2^(x+y) =2^5 Since the bases are matching, we’ll use one to one property: x + y = 5 (1) x*y=6 (2) We’ll note x + y = S and x*y = P. S = 5 and P = 6 We’ll form the…

• LORD OF THE FLIES

In the chapter “FIRE ON THE MOUNTAIN” illustrate “If Ralph is rational & Jack is irrational…

If you follow the actions of the three boys in this second chapter of the novel, you will see that this statement is true. Ralph is rational in that he conducts the meeting, establishes rules, and…

• MATH

Find the terms a1 and a3 for the following following geometric sequence: a1, -3, a3, -4/3 , ….

Let a1, -3, a3, -4/3 be terms of a geometric sequence: Let r be the common difference; Then we know that: a2= a1*r a3= a1*r^2 a4= a1*r^3 Then we conclude that: a4= a2*r^2 let us substitute: ==>…

• MATH

Find the critical values for the function: g(x) = x^3 – 3x^2 – 24x

g(x) = x^3 – 3x^2 – 24x To find the critical values, first we will determine the first derivative of g(x): ==> g'(x) = 3x^2 – 6x – 24 Now we will determine the derivative’s zeros: ==> 3x^2 -…

• MATH

Find the inverse of y= log 1/4 ( 4*5^x) – 7

y= log 1/4 ( 4*5^x) – 7 To find the enverse first we will add 7 to both sides: ==> y+ 7 = log 1/4 ( -4*5x) Now we know from algorethim properties that: log 1/4 (-4*5x) = log 1/4 4 + log 1/4 *…

• MATH

log 7 ( 2) + log 7 (x-5) = 2 find x.

log 7 ( 2) + log 7 (x-5) = 2 We will use algorethim properties to solve: we know that: log a b + log a c = log a (b*c) ==> log 7 (2) + log 7 (x-5) = 2 ==> log 7 ( 2*(x-5) = 2 ==> log 7 (…

• MATH

Find the absolute value for each complex number: l -4 – 10i l l 3- 6i l

l -4 – 10i l To find the absolute value for a complex number , we use the following formula: if z = a+ bi ==> l zl = sqrt(a^2 + b^2) ==> l -4 – 10i l = sqrt(-4^2 + -10^2)…

• PERSUASION

What makes for a good marriage in the novel?

It may depend on whose perspective. On Chapter 4 we find out that Anne had met CPT Wentworth in the Summer of 1806, fell in love with him, and he proposed to her. By this time, she had based her…

• MATH

Here we are given the number of accidents as y=0.4x^2 – 36x + 1000, where x is the driver’s age. As y can take the maximum value of 830, let’s equate 0.4x^2 – 36x + 1000 to 830 and solve the…

• ABRAHAM LINCOLN

What moral lesson did you learn from reading about the great man Abraham Lincoln ?

I think that the most important moral lesson I have learned from reading about Abraham Lincoln is that it is not always possible to act in an idealistic way. Sometimes you have to be pragmatic and…

• MACBETH

Where has Macduff gone?

At the end of Act 3, we learn that Macduff has blantantly refused Macbeth’s command to attend the banquet and has instead gone to England to find Malcolm who has asylum at the English court and to…

What are the possible reasons that computer usage in most of organizations can lead or contribute…

I agree that computers reduce the need for “manpower” but I would say that Post #2 understates the extent to which computers can reduce the need for people. It is not just data processing –…

• MATH

Verify if the point (-1,-3) is a solution for the system: -x^2 + 2y^2 – 2x + 8y + 5 = 0 -x^2…

-x^2 + 2y^2 – 2x + 8y + 5 = 0………….(1) -x^2 + 26y^2 – 2x + 104y + 77 = 0……………(1) To verify if the point (-1, -3) is a solution for the system, then the point should verify both…

• MATH

Solve the system: 3x^2 + 2y^2 – 54y – 143 = 0 x-3y -3 = 0

3x^2 + 2y^2 – 54y – 143 = 0…………(1) x-3y -3 = 0…………(2) Let us rewrite equation (2) : x – 3y – 3 = 0 ==> x= 3y + 3= 3(y+1) ==> x= 3(y+1) Now we will substitute x value in (1):…

• MATH

if log 9 ( 7) = A , log 9 (4) = B , log 9 (1) = C , then find the value for log 9 (1/16)

log 9 ( 1/16) = ? Given: log 9 (7) = A log 9 (4) = B log 9 (1) = C We will rewrite log 9 (1/16) log 9 (1/16) = log 9 (1/4)^2 Now from algorethim properties, we know that: log a^b = b *log a ==>…

• MATH

Find the missing terms in the following arthimetic sequence: ….., -16.3, ….., -20.5, …….

1. a) ….., -16.3, ….., -20.5, ……. Let a1 , a2, , a3, a4, a5 are terms in an arthimetic sequesnce and r is the common difference: Then we know that: ==>a1= a1 ==> a2= a1+ r ==> -16.3…

• MATH

Solve for r value: 2 = sqrt(3r – 2) – sqrt(10-r)

2 = sqrt(3r – 2) – sqrt(10-r) To solve, let us square both sides: 2^2 = [ sqrt(3r-2) – sqrt(10-r)]^2 ==> 4 = (3R-2) – 2SQRT(3r-2)(10-r) + (10-r) ==> 4 = (3r-2) + (10-r) – 2sqrt(-3r^2+ 32r -…

• MATH

Dtermine P value in the following equation: -3 l -8p – 9 l = -15

-3 l -8p – 9 l = -15 To solve first we need to isolate the absolute value one one side: Let us divide by -3: ==?> l -8p – 9 l = 5 Now we have two possible solutions: 1) ( -8p -9) = 5 ==> add…

• TO SIR, WITH LOVE

Discuss the effectiveness of strategies used by the teacher in “To Sir, With Love.”

One of the strongest and most effective strategies Braithwaite uses in teaching his students is the notion of personal regard. He ends up winning them over because he goes very far in establishing…

• THE BRIDE COMES TO YELLOW SKY

What is the central idea of “The Bride Comes to Yellow Sky”? I want to use the central idea as…

It seems that you are asking about the theme of the story, a question that has been asked and previously answered. Follow the link I posted below for a good explanation of at least one central…