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NINTH GRADE FOURTH STUDY FOR THE FOURTH PEPAS


Straight Guide Calculate the slope m and the equation of the line through the points given respectively by then. Plot and conclude the case with the graph as m changes.
1. A: (3, 2) and B: (5, -4)
2. A: (4, -1) and B: (-6, -3)
3. A: (2.5) and B: - (7, 5)
4. A: (5, -1) and B (-5, 6)
5. A: (-3, 2) and B: (-3, 5)
6. A: (4, -2) and B: (-3, -2)
7. A: (6, -7) and B: (1, 9)
8. A: (2.7) and B (-5, 8)
9. A: (12, -3) and B: (6, -5)
10. A: (4, -5) and B: (-3, 6).
Draw the line through P, for each value of m.
11. P: (-3.1) m ½, 1 / 5, -3
12. P: (-2, 4), m -1, -2, -1 / 2
13. Given the line: kx - y = k + 3, determine a value of k for the point P (-3, 7) belongs to this line. Get
in general the equation of the line through point A and satisfies the given condition.
14. A: (2, -1) and its slope is -1 / 2
15. A: (-1, 9) and its slope is 3 / 4
16. A: (-3, 5), parallel to the line x + 3 = y - 1.
17. A: (7, -3), perpendicular to the line 2x + 5y = 8.
18. A: (5, -2) perpendicular to the axis y.
19. A: (-4, 2) parallel to the axis x.
20. A: (-1, 4); slope 2 / 3


Guide Circles Under the following conditions, determine the equation of the circle
1. Center (2, -3), radio 5.
2. Center (-4, 1), diameter 6.
3. Center (1.4) and passing through the point (-3, 2)
4. Center (2, 13), radio
-5 5. Center (-1 / 2, -3) and radio
-3 6. Passing through the points (-1, -1), (-3, 2), (5, 7). Parables


Guide Find the equation of the parabola given the following data. Sketch the graph.
1. Focus (-5.0); guideline 5 - x = 0.
2. Focus (3.0) Guideline x - 1 = 0.
3. Focus (0, -3); guidelines and + 2 = 0.
4. Vertex (0, 0), is open to the left, the length of the straight side is 6.
5. Vertex (0, 0), it opens up, the length of the straight side is 3.
6. Vertex (0, 0); guideline 2x = 5.
7. Vertex (0, 0) and whose focus is the point (3, 0)
8. Horizontal parabola having its vertex at the origin and passing through the point (2, -4).
9. Vertical parabola having its vertex at the origin and passing through the point (-2, -4).
10. Vertex (2, 4); focus on (-3, 4).
11. Vertex at (1, -3); guideline y = 1.
12. Focus on (-1, 7); guideline y = 3.
13. Focus on (3, 4), directrix x = 4
14. Vertex (4, -1), axis + 1 = 0 and passing through the point (3, -3)
15. Vertex (3, -2), axis, x = 3; length of the straight side 6.
16. Guideline, x = -2; axis, y = 4, the length of the straight side is 8.

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RUN NUMBER IS NEXT? THERE ARE TWO

Look at this series of numbers: 1


21
1211 11 111221

312211

What is the number that follows?

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Browsing the Internet I found this curious demonstration page www. matematicasrecreativas.com as described below.

A demonstration that the number 2 does not exist.
Demo:
know that there are an infinite number of primes. Among them, only one is even. So if we choose a prime number at random, the probability that this number is even is 1 / ∞ = 0. There is therefore a prime number, the 2 does not exist.
The show is based on the petition of principle: a case that has zero probability of performed there.

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THE SOLUTION OF TRIANGULAR

What is the slope of the sloping side of a triangle? Or how inclined is one side of the triangle (hypotenuse)?

The slope indicates the inclination of one side with the horizontal plane and can be calculated by dividing the height of the base. The higher the value, will tilt.
If we count the squares and divide, the slope of the hypotenuse of the red triangle is 2 / 5 = 0.4 and the pink triangle is 3 / 8 = 0.375. Therefore the slope of the hypotenuse of the triangle Red and pink are not the same ...

If the slopes are not equal, the line connecting points A and B is a straight line.

forcing some drawings to see what is really happening and not visible to the naked eye are these two triangles.
The area difference between them is just "spot" or black square.

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CARPET

One afternoon a famous and wealthy lawyer was riding in his limousine when he saw two men on the roadside eating grass. Concerned, he ordered his driver to stop and went to investigate.

I asked one of them: - Why are you eating grass, boy?
- No money for food. - Said the poor man - why we have to eat grass.
- Well, then come to my house, I will feed you - said the lawyer.
- Thanks, Don, but I have a wife and two children with me. They are there under that tree.
- You come too, - said the lawyer. Turning to another poor man said
- you also come, my friend. The man with a pitiful voice said
- But, Sir, I also I have a wife and SIX children with me!
- Let them come too. - Said the lawyer.

went all the huge and luxurious car, which was not easy, even for a car as large as the limousine.

Once underway, one of the poor guys looked at the lawyer and said: - Sir, you are very good. Thanks for taking us all with you
The lawyer replied: - Man, do not be shy, I'm happy to do it!. There you will see that you will love my house .... The grass is like five feet tall!.

Moral: When you create a lawyer is helping you, think twice .......

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LAWYERS OVER ANOTHER REFLECTION

A mouse looked through a hole the wall is a farmer and his wife opening a package. Thought, what kind of food could be there. He was terrified when he discovered it was a mousetrap. He ran into the courtyard of the farm to warn everyone: "There is a mousetrap in the house, a mousetrap in the house!"
The hen, who clucked and scratched, raised her head and said, "Excuse me, Mr. Mouse, I understand that is a big problem for you, but not harm me at all, does not bother me." The mouse was not until the lamb and said: "There is a mousetrap in the house, a mousetrap!". Excuse me, Mr. Mouse, but there is nothing I can do, only ask for you. Rest assured it will be remembered in my prayers. "Lamb said. The mouse then turned to the cow and the cow said," But perhaps I am in danger? I think not, "said the cow. So the mouse returned to the house, worried and dejected, to face the farmer's mousetrap. That night they heard a great commotion, like a mousetrap catching its prey. The farmer's wife rushed to see what was caught. In the darkness, she saw that the trap had caught the tail of a poisonous snake. The snake bit the woman. The farmer rushed her to hospital. She returned with a fever. Everybody knows that to feed someone with a fever, nothing like a soup. The farmer took his knife and went to get the main ingredient: chicken.
As the woman continued disease, friends and neighbors came to visit. To feed, the farmer killed the lamb. The woman did not improve and eventually died. The farmer then sold the cow to the slaughterhouse to cover funeral expenses. "The next time you hear someone has a problem and think it as not yours, do not pay attention ... think twice."
"He that lives to serve, not serve to live."

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This is a joke that my brother sent me and I want to share with you.

EVALUATION FOR RESULTS

There was a time in a village, two men who called Joaquin Gonzalez.
One was a priest and the other a cabdriver.
As fate that the two died the same day.
Then came the sky, where they hoped to San Pedro.
- Your name? - San Pedro to the first question
- Joaquín González
- "The priest?
- No, no, the driver
San Pedro looks at his return and says
- Well, you've earned the Paradise.
you under these robes of silk with gold thread and this golden scepter inlaid with rubies. You can spend
- Thanks, thanks ... - Says the driver
spend two more, then it is the turn the other Joaquín, who had witnessed the entry of his countryman.
- Your name
- Joaquín González
- "The priest?
- Yes
- Very well, my son. You've earned the Paradise.
you get this coat of polyester plastic and this staff.
The priest says,
- Sorry, not to brag, but ... there must be an error. I am Joaquin Gonzalez, a priest
- Yes, my son, Paradise you've earned, you rule the gown ...
- No, no way! I know the other gentleman.
was a taxi driver, lived in my hometown, was a disaster as a taxi driver! It was up to the sidewalk, struck every day, once crashed into a house, driving badly, throwing light poles, he carried all before! And I spent fifty years of my life preaching every Sunday in parish. How can it be that he would touch a tunic with gold thread and a platinum rod and me this must be a mistake!
- No, it's no mistake, "said San Pedro
- What happens is that here in Heaven globalization has come with his new administrative approaches.
We no longer make assessments as before.
- How? I do not understand ...
- Sure, now we manage by objectives and results.
Look, I'm going to explain your case and you'll understand immediately:
over the past fifty years, every time you preached, people slept, but every time the taxi driver drove, people prayed and remembered God.
So who sold more of our services?
We are interested in results, my son. Re
- sul - ta - two!

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JOKES PROFESSOR OF MATHEMATICS

In a city a young man entered a shop and asked for permission from the owner to make a call ...
... to which it agreed. The young man was heard saying:
"Hi good afternoon! Are you the head of the school Leonhard Euler?" Yes? "... Well! Had heard they need a math teacher ... no ..... go ... you have one?

understand ... well, that I am very good and if not satisfied I can ...... I understand if they are.

Well maybe next time "and hanging phone is ready to leave the store.
The owner had accidentally overheard the conversation wanted to comfort the young:

"do not despair and find work", to which the young man replied:

"work? who look for work?"
The store owner smiled and gently replied,

"should not be embarrassed by it," the young man looked at him smiling in the eyes and said,

"I'm the professor of mathematics at the school!

! .... just wanted to know that this was doing my job. "

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CARPET

A triangular carpet to be decorating a special room at a diplomatic reception. But it has a black spot. When carried to the cleaners, the dyer said to take a couple of days to remove the stain ...

"Impossible! The reception is tonight." "Okay," replied the dyer, "otherwise we'll fix it." Take scissors and cut the carpet in several pieces, according to the first figure and bringing back the pieces but in the order of the second image leaving out the black square. Is thus obtained again without the stain carpet How is it possible?

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TRIANGULAR TOURNAMENT OF RIDDLES

have chosen the path of the chance, of luck, trial and error, of Providence ... "The easiest way ...? But is there this way? We turn away from equations, unknowns, math, and only use for it: the trial and error, a little ingenuity, a lot of observation of the results we obtained, and something you can not do without ever, Numb3rs ! !

King Arthur is very fond of puzzles and each year assists with 24 of his men to Puzzle Tournament Eolan of ...
After each day and once completed all competitions and festivities, King Arthur and his 24 men to retreat to relax and stay in a pavilion consists of 9 rooms, sleeping in king the central room, and the 24 men who accompany him are located so that there is 9 on each side of the hall. Were placed in different rooms or rooms as follows:

3 3 3 3 KING 3 3 3 3

The gentlemen asked the king if they could meet at night in the rooms of others to organize games and competitions. The king agreed but on condition that there were always 9 men on each side of the hall.

THE FIRST NIGHT
The king, before retiring to his quarters, made a tour of inspection around the flag and counted the number gentleman who had on each side, to see if his orders had been obeyed and ensure that none of the men had gone to another ward neighbor. Had indeed found that 9 in each hand and went to bed convinced that everything was in order.
However, 4 of them, indeed, had gone to other wards. Nevertheless, those who had been able to maintain, thanks to an ingenious distribution, the exact number of 9 on each side of the hall. How did they do?

4 1 4 1 KING 1 4 1 4

Very good! This is the solution. That
ingenious! What The second night also "misled" the king?

SECOND NIGHT The previous night, the four men made friends with 4 other men from other wards and invited them to spend the night with them in the pavilion of King Arthur, contrary to the rules. However, the king made the inspection and thought that everything was in order and he had 9 men on each side of the hall. How did they do?

2 5 2 5 KING 5 2 5 2

Perfect! That is the solution

What happened on the third night?

THE THIRD NIGHT On the third night in the pavilion of King Arthur's knights were 36, his 24 knights plus 12 knights of other flags.
What was the distribution in the third night?

0 9 0 9 9

KING

0 0 0

! That is the solution

THE FOURTH NIGHT
The fourth and last night treated the thought of leaving 6 men, staying only 18. What is this time the distribution of men in rooms to not breach the rule of the king that there must always be 9 men on each side of the flag?

NOW TRY AND WRITE YOUR COMMENTS AS SOLUTION

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EOLAN MAGO

The paradoxes, like conjuring tricks, cause so much surprise that we immediately want to know how they have done ...

The illusionists or magicians tricks ever say no

but mathematicians always teach us their secrets.


What do you make a mathematical wizard?

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DEVELOP MATHEMATICAL LOGIC LABERINTOS

DEVELOP TALENT DOING LABERINTOS RAISED.

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• Was Jesus preaching at Mount Sinai and said to his disciples:
  y = ax2 + bx + c
  So what is it? Said one of the disciples.
  To which Jesus replied: A Parable!

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JOKES OF NINTH GRADE POETRY

POETRY MATH

In many leaves of a math book ratio

one day fell in love with a painfully
Incognita.
He saw with his eyes and saw innumerable
from the apex to the base:
An odd figure;
robot eyes, mouth trapezoid
rectangular body, breasts spheroids.
He made his living
parallel to hers, until they met

at infinity.
Who are you? - She inquired anxiously
radical.
- But you can call hypotenuse -. And speaking
found them
(which in arithmetic corresponds to the souls sisters)
prime. And so they loved

the square of the speed of light,
in sixth drawing power, the taste of time and passion
,
lines, curves, circles and lines
sine in the gardens of the fourth dimension.
shocked the orthodox forms
Euclidean and exegetes of the Universe infinite.
Newton broke conventions and Pythagorean.
And finally resolved to marry, establish a home,
more than a home, a perpendicular.

invited as sponsors to the Estate and the bisector. E
made drawings and equations and diagrams for the future happiness

dreaming integral and differential. And
married and had a secant and three cones
very graciosillos

And they were happy until that day when everything
finally becomes
monotony.
was then arose
The Greatest Common Divisor.
offered him, her,
greatness
absolute and reduced to a common denominator.
He ratio,
perceived that she was not a whole
a unit.
was a triangle, called love.
In this problem it was a fraction
the most ordinary,
but that was when Einstein discovered relativity
and all that was spurious morality became

as in any society. Millôr
Fernandes (Brazil