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Intro to the coordinate plane. Why all the letters in algebra? Next lesson. Current timeTotal duration Video transcript I'm here with Jesse Ro, whose a math teacher at Summit San Jose and a Khan Academy teaching fellow and you had some interesting ideas or questions. Yeah, one question that students ask a lot when they start Algebra is why do we need letters, why can't we just use numbers for everything?

Why letters? Yeah, exactly. That's interesting, well why don't we let people think about that for a second. So Sal, how would you answer this question? Why do we need letters in Algebra? So why letters. So there are a couple of ways I'd think about it.

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One is if you have an unknown. So if I were to write X plus three is equal to ten the reason why we're doing this is that we don't know what X is It's literally an unknown.

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And so we're going to solve for it in some way. I am going to send it back to her—when I come to Elstree will be time enough; and meantime, if you bestow a couple of hours upon it, you will not think them thrown away.

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It's a large parcel, and I must keep it here till somebody goes up to town and can book it by the coach. I warrant it, large as it looks, readable in two hours; and I very much want to know what you think of the first act, and especially the opening, which seems to me quite famous. The metre is very odd and rough, but now and then there's a wildness in it which helps the thing very much; and altogether it has left a something on my mind which I can't get rid of.

Dickens joins with me in kindest regards to yourself, Mrs.

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And I am always,. Pray Heaven my fears are unfounded [26]. I am so anxious to prefer a request to you which does not admit of delay that I send you a double letter, with the one redeeming point though of having very little in it. Let me prefix to the last number of "Nickleby," and to the book, a duplicate of the leaf which I now send you. Believe me that there will be no leaf in the volume which will afford me in times to come more true pleasure and gratification, than that in which I have written your name as foremost among those of the friends whom I love and honour.

Believe me, there will be no one line in it conveying a more honest truth or a more sincere feeling than that which describes its dedication to you as a slight token of my admiration and regard. So let me tell the world by this frail record that I was a friend of yours, and interested to no ordinary extent in your proceedings at that interesting time when you showed them such noble truths in such noble forms, and gave me a new interest in, and associations with, the labours of so many months.

I write to you very hastily and crudely, for I have been very hard at work, having only finished to-day, and my head spins yet. But you know what I mean. I am then always,. Macready, Esq. The book, the whole book, and nothing but the book except the binding, which is an important item , has arrived at last, and is forwarded herewith. The red represents my blushes at its gorgeous dress; the gilding, all those bright professions which I do not make to you; and the book itself, my whole heart for twenty months, which should be yours for so short a term, as you have it always.

Tom Landseer—that is, the deaf one, whom everybody quite loves for his sweet nature under a most deplorable infirmity—Tom Landseer asked me if I would present to you from him the accompanying engraving, which he has executed from a picture by his brother Edwin; submitting it to you as a little tribute from an unknown but ardent admirer of your genius, which speaks to his heart, although it does not find its way there through his ears.

I readily undertook the task, and send it herewith. I urged him to call upon you with me and proffer it boldly; but he is a very modest and delicately-minded creature, and was shy of intruding. If you thank him through me, perhaps you will say something about my bringing him to call, and so gladden the gentle artist and make him happy. You must come and see my new house when we have it to rights.

By Christmas Day we shall be, I hope, your neighbours.

Kate progresses splendidly, and, with me, sends her best remembrances to Mrs. Macready and all your house. We have in this year Charles Dickens's first letter to Mr. Daniel Maclise, this and one other being, unfortunately, the only letters we have been able to obtain addressed to this much-loved friend and most intimate companion. I am going to propound a mightily grave matter to you. My now periodical work appears—or I should rather say the first number does—on Saturday, the 28th of March; and as it has to be sent to America and Germany, and must therefore be considerably in advance, it is now in [29] hand; I having in fact begun it on Saturday last.

Instead of being published in monthly parts at a shilling each only, it will be published in weekly parts at threepence and monthly parts at a shilling; my object being to baffle the imitators and make it as novel as possible. The plan is a new one—I mean the plan of the fiction—and it will comprehend a great variety of tales. The title is: "Master Humphrey's Clock. Now, among other improvements, I have turned my attention to the illustrations, meaning to have woodcuts dropped into the text and no separate plates. I want to know whether you would object to make me a little sketch for a woodcut—in indian-ink would be quite sufficient—about the size of the enclosed scrap; the subject, an old quaint room with antique Elizabethan furniture, and in the chimney-corner an extraordinary old clock—the clock belonging to Master Humphrey, in fact, and no figures.

This I should drop into the text at the head of my opening page. I want to know besides—as Chapman and Hall are my partners in the matter, there need be no delicacy about my asking or your answering the question—what would be your charge for such a thing, and whether if the work answers our expectations you would like to repeat the joke at regular intervals, and, if so, on what terms? I should tell you that I intend to ask Maclise to join me likewise, and that the copying the drawing on wood and the cutting will be done in first-rate style.

We are justified by past experience in supposing that the sale would be enormous, and the popularity very great; and when I explain to you the notes I have in my head, I think you will see that it opens a vast number of very good subjects. If you would take a chop with me, for instance, on Tuesday or Wednesday, I could tell you more in two minutes than in twenty letters, albeit I have endeavoured to make this as businesslike and stupid as need be.

Of course all these tremendous arrangements are as yet a profound secret, or there would be fifty Humphreys in the field.

I amsterdam letters

So write me a line like a worthy gentleman, and convey my best remembrances to your worthy lady. I think the drawing most famous, and so do the publishers, to whom I sent it to-day. If Browne should suggest anything for the future which may enable him to do you justice in copying on which point he is very anxious , I will communicate it to you. It has occurred to me that perhaps you will like to see his copy on the block before it is cut, and I have therefore told Chapman and Hall to forward it to you.

In future, I will take care that you have the number to choose your subject from. I ought to have done so, perhaps, in this case; but I was very anxious that you should do the room. Perhaps the shortest plan will be for me to send you, as enclosed, regularly; but if you prefer keeping account with the publishers, they will be happy to enter upon it when, where, and how you please.

I have been induced, on looking over the works of the "Clock," to make a slight alteration in their disposal, by virtue of which the story about "John Podgers" will stand over for some little time, and that short tale will occupy its place which you have already by you, and which treats of the assassination of a young gentleman under circumstances of peculiar aggravation.

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I shall be greatly obliged to you if you will turn your attention to this last morsel as the feature of No. I would neither have made this alteration nor have troubled you about it, but for weighty and cogent reasons which I feel very strongly, and into the composition of which caprice or fastidiousness has no part. I should tell you perhaps, with reference to Chapman and Hall, that they will never trouble you as they never trouble me but when there is real and pressing occasion, and that their representations in this respect, unlike those of most men of business, are to be relied upon.

I cannot tell you how admirably I think Master Humphrey's room comes out, or what glowing accounts I hear of the second design you have done.


I had not the faintest anticipation of anything so good—taking into account the material and the despatch. I will not attempt to tell you how much gratified I have been by the receipt of your first English letter; nor can I describe to you with what delight and gratification I learn that I am held in such high esteem by your great countrymen, whose favourable appreciation is flattering indeed. To you, who have undertaken the laborious and often, I fear, very irksome task of clothing me in the German garb, I owe a long arrear of thanks. I wish you would come to England, and afford me an opportunity of slightly reducing the account.

It is with great regret that I have to inform you, in reply to the request contained in your pleasant communication, that my publishers have already made such arrangements and are in possession of such stipulations relative to the proof-sheets of my new works, that I have no power to send them out of England. If I had, I need not tell you what pleasure it would afford me to promote your views. I am too sensible of the trouble you must have already had with my writings to impose upon you now a long letter.

I will only add, therefore, that I am,. It merely says that the sea is in a state of extraordinary sublimity; that this place is, as the Guide Book most justly observes, "unsurpassed for the salubrity of the refreshing breezes, which are wafted on the ocean's pinions from far-distant shores. That the sea is rolling away in front of the window at which I indite this epistle, and that everything is as fresh and glorious as fine weather and a splendid coast can make it.

The Letters

Bear these recommendations in mind, and shunning Talfourdian pledges, come to the bower which is shaded for you in the one-pair front, where no chair or table has four legs of the same length, and where no drawers will open till you have pulled the pegs off, and then they keep open and won't shut again. Kit, the single gentleman, and Mr. Garland go down to the place where the child is, and arrive there at night. There has been a fall of snow. Kit, leaving them behind, runs to the old house, and, with a lanthorn in one hand and the bird in its cage in the other, stops for a moment at a little distance with a natural hesitation before he goes up to [34] make his presence known.

In a window—supposed to be that of the child's little room—a light is burning, and in that room the child unknown, of course, to her visitors, who are full of hope lies dead. I sent the MS. By a mistake, however, it went to Browne instead. Chapman is out of town, and such things have gone wrong in consequence.

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The subject to which I wish to call your attention is in an unwritten number to follow this one, but it is a mere echo of what you will find at the conclusion of this proof marked 2. I want the cart, gaily decorated, going through the street of the old town with the wax brigand displayed to fierce advantage, and the child seated in it also dispersing bills. As many flags and inscriptions about Jarley's Wax Work fluttering from the cart as you please.

You know the wax brigands, and how they contemplate small oval miniatures? That's the figure I want.