Week 6-Math 10 + Patterns in Polynomials

FACTORING POLYNOMIALS

 

IMG_8567The question is in purple and so in blue i wrote down the multiples of the Square root number on the left then the multiples to the number on the left.  I rewrote it trying it with the first pair of multiples and placing the multiples of the number i could see that it wouldn’t work and i tried it in the other order (in green) and it still wouldn’t work so i went to the second pair of multiples.

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So i rewrote the question and seeing that the middle number that im trying to get to is a negative i knew that in my combination it would have to be both a negative and a positive so i happen to put them in the right order the first time and it worked out as shown in blue.

PATTERNS IN POLYNOMIALS

Cats Die Pretty Easily Unfortunately

Unfortunately its the only acronym  i remember for

COMMONS,DIFFERENCE OF SQUARES, PATTERNS,EASY,UGLY

I think this is a pattern for the polynomial in going through this list to sort of answer the question without doing much.  Also Pattern of seeing a number that squared, a X number and a number on the end (this pattern means that we are going to be able to put everything into two brackets or the Squared multiples

Preliminary Proposal

Preliminary Proposal

Conditions for joining Confederation

(What do you want?)

Justification

(explain why you should get this & how might others benefit from it)

Intercolonial Railway-essly +Create Jobs

+More traffic through Canada

+ improve the financial economy.

“Build the road and Halifax will become one of the great emporiums of the world” -John A. MacDonald.

 

The Hudson’s Bay Company land-brendan

 

 

+More farm land

+Don’t have to travel down to america

“Throw down the barriers of trade and give us the control of market” -George Brown

Back with the Corn laws-jo Rasing a higher tarrif in canda for our own grain against the other countrys to be able to benefit us. Fair trade to protect our own product
Better Boats-kiana +cut through ice

+not have to use the united states railways

” A great country such as nature has destined this to be would not be justified in refusing to acquire a winter sea port” – Toronto Leader

Better Army Trained army for better defense.

“threat of Fenian raids along the Canada-United States border”

 

Definitions For Canadian Internal Goverment

Double majority:  when a law needed a majority vote from both sides Canada.

Independents: Separate people maybe coming from the same section not accountable to that section but voicing their opinion.  More flexibility and creates consistency within the commons regarding passing a law.

Equal representation: When the government has an equal number of people representing the section of land.

Representation by population:  The number of members in  the legislative assembly representing a elected area.

Week 9 Math 10

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How to simplify a polynomial:

first we do the operations in the brackets using foil so

-A squared times 3A squared=3A fourth

-A squared times (-) A = (-) A cubed

-A squared times (-) 1=(-)A squared

And then you do the same process but instead using +2

Then you bring everything down to the  next bracket carrying the (-) 3

Add like terms and then  multiply by the outside term.

 

BNA Colonies + summarization

The american civil war was mainly a fight between the northern free states and the southern slave states (a war over slavery) about who would unionized and thus freeing or not freeing the slaves.

The Trent affair was when a american ship stopped a British ship with two agent on board wanting to talk to the British to see if they would join in the confederate cause. The Americans held them as prisoners but they were eventually released as to not cause a war.

The st. Albanis raid was soldiers from the British colony/ies raiding a town called st.albanis and then running back across the american border to not be captured by the Americas. America took this raid as Britain provoking them.

Manifest destiny was this strong belief in america which personally i think is a american excuse to attack Canada, that america under the very rule of god that they should be the ones to govern the entirety of North America.

Fenian’s: Group of Irish men to force the freedom of Ireland from British control. There plan was to hold British colonies and ransom them in return for Ireland’s freedom.

In 1854 The reciprocity treaty was signed by both BNA and United states to allow free trade of goods. But then in 1866, twelve years later the Americans cancelled the treaty.  Because the British no longer had this sharing peace with the Americans they encouraged confederation and continued to try to unite the colonies.

 

Economic Situation In the 1860’s

Explain how the economic situation in the 1860s would encourage the BNA Colonies to unite…

According to the article about the Canadian railways there was a need for transport and trade to be able to survive as people needed food and supplies from other places and so the railways needed to be built. This connected many towns and specifically the BNA colonies because the train traveled from one place to another and hence there was bound to be interaction between the colonies. Also Britain had tariffs on Canadian grain (corn law) about taxing the grain import from Canada lower than america to be able to level out the price.  So the colonies united in an effort to lower/ completely take away the tax so that food wasn’t so expensive almost to the degree that people were going into starvation.  It did bring economic depression though.  The Reciprocity treaty was brought forth in an effort to bring Canada out of it economic strain and bringing america as a partner with it.  Eventually they did sign it because they needed to sell the products from the British colonies and that brought confederation.

Why the Rebellion of 1837 failed…

According to Mr.Norton in his memoir of the rebellion against the British in 1837, him being on the rebel side, first states that they were not well versed in the way of how to handle guns.  They were first basically rounded up and given a staggered arrangement of weapons and told to put their toe on the line and fight. This s not the best way to approach a war obviously as it seems no one knew what the heck to do.

Mackenzie’s memoir states that when they approached a town they saw a group of the enemy.  first the rebels shot at them then the enemy shot back and ran away.  When the rebels shot again they did not step aside to make room for the bullets instead they dropped to the ground which is dangerous i supposed since u might get shot yourself. Also someone from the rebel side did get shot and killed and when Mackenzie took a look he noticed that by the way that the man was shot he was not shot by the enemy but by his own team.  Yet again an example of poor organization and skill.

Mr. Bellingham (British)  states that his leader and most of the men rode horses which is smart because then you somewhat above the rebels and can hurt them more easily.

 

In short the rebels lost due to lack of proper training, skills, efficient weapons, and size of army.

 

Week 8 Math 10

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This is from polynomials chapter 1.

The questions asks to arrange the terms in ascending order so starting from lowest to highest so for the first question i divide the polynomial into parts so i can arrange and see them more clearly.

First is 5 since five doesn’t have a variable its power value is of zero, then -9w since the variable w is of a power of only one, then +6w2 since w is now of value of 2 and then the last one being of power 3 the largest.

Weekend Bonus Project

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Conveniently i have a staircase in the backyard in the shape of a right triangle. I measured from the ground to the top of the porch where the stairs meet the porch.

The angle of depression ( i measured from the ground up to the opposing corner) is 36 degrees.   So where the standing pole meets the top of the staircase is where 36 degrees is.

From the bottom of the staircase to the bottom of the standing pole it is 11 ft.

So from the angle, 11 ft is the opposite side, the standing pole is the adjacent side and the staircase is the hypotenuse.

My work being:

TAN 36 degrees= 0.7265

11ft/0.7265=15.14

So the standing pole to be 15.14 ft tall.

I dont think this is right though since normally the height is smaller than the length.

Math 10-Week 7

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(sorry the picture didn’t download clearly)

These are triangles 1,2 &3. All are missing the angle and each triangle uses one of the three different trig ratios.

Triangle A: Uses the sin ratio, as only the opposite and hypotenuse are labeled with a measurement.

Triangle B:  Uses the tangent ratio, as only the opposite and adjacent sides are measured.

Triangle C: Uses the cosine ratio, as only the hypotenuse and adjacent are labeled.

All the triangles sides are labeled in according to the placement of the missing angle.