Monday, March 28, 2011
Nathan's blog
Sunday, March 27, 2011
mary'ss blog
Nicala's Post
Lawrence's blog
Friday, March 25, 2011
Another One Of Taylor's Blogs
In this lesson we will be doing the easier parts of finding the parts of the equation.
The one we will be doing are in this form
x^2/a+y^2/b=1
We will by finding the minor and major axis and the length of the major and minor axis.
Equations
Length of major 2 square root of lager denom.
Length of minor 2 square root of smaller denom.
Lets do some example problems
Find the minor and major axis and the length of the major and minor axis of x^2/9+y^2/25=1
First we will identify the major and minor axis. In this case the major axis is y and the minor axis is x.
2 square root of 25= 2 x 5= 10 Then we simply plug the major axis’s denominator into this equation and solve it to find the length of the major axis.
2 square root of 9= 2 x 3= 6 Then we simply plug the minor axis’s denominator into this equation and solve it to find the length of the minor axis.
And your answers will be major axis= y, minor axis= x, length of the major axis= 10, length of the minor axis= 6. Lets do one more!
Find the minor and major axis and the length of the major and minor axis of x^2/81+y^2/36=1
First we will identify the major and minor axis. In this case the major axis is x and the minor axis is y.
2 square root of 81= 2 x 9= 18 Then we simply plug the major axis’s denominator into this equation and solve it to find the length of the major axis.
2 square root of 36= 2 x 6= 12 Then we simply plug the minor axis’s denominator into this equation and solve it to find the length of the minor axis.
And your answers will be major axis= x, minor axis= y, length of the major axis= 18, length of the minor axis= 12.
THAT IS ALL FOR THIS PART OF MY LESSON 6.3 NOTES !! SO UNTIL NEXT TIME JA NE!!!! (ja ne is goodbye in Japanese)
Monday, March 21, 2011
Charlie.
BUT, we did do stuff for math this week.
we learned chapter 6.
one thing we did was the eclipses & stuff like that.
the formula is: x^2/a + y^2/b = 1
to do this we have to find the major axis, the minor axis, the major length, the minor length, the vertex, other, and the focus.
EXAMPLE:
x^2/4 + y^2/16 = 1
Major --> y
Minor --> x
Major Length --> 8
Minor Length --> 4
Vertex --> (0, 4) (0, -4)
Other --> (2, 0) (-2, 0)
Focus --> (0, 2squarerootof3) (0, -2squarerootof3)
Sunday, March 20, 2011
Feroz's Blog
Nathan's blog
Ex. (x-3)^2 + (y+7)^2 = 19
C: (3,-7)
r= √19
Find all the parts of: x^2/4 + y^2/25 = 1
1. Major axis: y
2. Minor axis: x
3. Length of major: 2√25=10
4. Length of minor: 2√4=4
5. Vertex: (0,5) (0,-5)
6. Other intercept: (2,0) (-2,0)
7. Focus: 4=25-f^2 -21=-f^2 f=√21 (0,√21) (0,-√21)
That's about it for this review. The only difference in the other formulas, is that you have to find aymptotes. Otherwise, this chapter is very easy so far.
BLLOOGGG!
i love getting grades for blogs:)
thiiisss weeeeeeeeeek.
We are learning about chapter 6 about finding all the parts of a hyperbola and an ellipse.
there isn't really much to explain about it so i'll just walk you through the example.
Ex. 1 which is an ellipse, and you can tell the difference between and ellipse and a hyperbola by looking to see if there is a negative.
x^2/36 + y^2/49 =1 and to be in standard form, it will always have to equal one.
so to start it off
Major axis-y-because the bigger number is under the 7
minor axis-x- by default
vertex-(0,7),(0,-7) because of the major axis which they follow
focus- focus^2=bigger plus smaller=(0,plus or minus-square root of 85)-still using the place of the major axis
other intercept( which you use to sketch a graph)-(6,0)(-6,0) you use the square root of the minor axis in that place.
length of major axis-14
length of minor-12, you can get this by doubling the square root of the number under the x or y.
and the process is really close for a hyperbola, but there is the negative to deal with and you have to find asyptotes. but its really easy, everybody should really try really hard in this last semester and finish out strong and not have to worry about next year.::))
Nicala's Post
bloggggg
Circle
equation: (x-h)^2+(y-k)^2=r^2
where (h,k) is center
To put an equation into the standard form of a circle, you have to complete the square.
Ellipse
equation: x^2/a + y^2/b=1
major axis: variable with larger denomenator
minor axis: varibale with smaller denomenator
length of major: 2(squarerootof larger)
length of minor: 2(squarerootof smaller)
vertex: (squarerootof larger) if x is major: ( , 0) (- , 0)
if y is major: (0, ) (0,- )
other int. : (squarerootof smaller) ( , )
focus: smaller=larger-focus^2
Hyperbole
This is pretty much the same as the ellipse, except you also have to deal with negative numbers and asymptotes. also the focus is different.
focus: focus^2=larger+smaller
asymptote: y=+-b/a x if x is major
y=+-a/b x if y is major
Friday, March 18, 2011
Taylor's Mystery Number Blog (I GIVE UP ON NUMBERING IT T-T!!)
In this lesson we will be learning a few new things about circles.
You will need these equations in order to do this properly:
Distance formula= square root (y2-y1)^2+(x2+x1)^2= radius
The 2 and ones are small and are at the bottom to symbolize that they are from either the first and second point . One of these points must be the center while the other must be on the circle.
Equation of a circle (x-h)^2+(y-k)^2=r^2 the (h,k) is the center of the circle.
Now lets practice how to find the radius and the center of the circle from the equation of the circle. Which is also the easiest and simplest part to do for this chapter.
Find the center and the radius of (x-9)^2+(y-8)^2=16.
From the equation of the circle we can see that the place where 9 and 8 are is replacing the h and the k so that means that the center of the circle is (9,8).
We also know that the radius is raised to the second before it can be considered part of the equation so we just need to find the square root of 16 in order to find the radius. So that makes the radius 4.
Find the center and the radius of (x+5)^2+(y+11)^2=15.
From the equation of the circle we can see that the place where 5 and 11 are is replacing the h and the k but since they are not negative we have to make them negative when we write it in coordinate form. So the center of the circle is (-5,-11)
We also know that the radius is raised to the second before it can be considered part of the equation so we just need to find the square root of 15 in order to find the radius but since we cannot we will simply leave it with the square root as the answer. So that makes the radius square root of 15.
THAT IS ALL FOR THIS PART OF MY LESSON 6.2 NOTES !! SO UNTIL NEXT TIME JA NE!!!! (ja ne is goodbye in Japanese)
Tuesday, March 15, 2011
Charlie
umm, i did 39 of my 50 bonus point modules.
my computer was broken until wednesday so i did it thursday and friday.
& then a couple more on sunday. i hope not dong this doesn't make me fail. but whateva.
i don't remember what we were learning before we went into the holidays.
but on aleks i didn't know how to do the blue, purple, or yellow stuff.
so i went do some of the trig. stuff & what i had unlocked for the matrices thing.
but i still didn't know how to do anything else to get to my 50 modules.
so that isn't fair, JUS SAYin.
it's hot in this class.
Sunday, March 13, 2011
Nathan's blog
So, I'm going to start off by reviewing matrices, which was very easy.
[2 4] [8 3] [10 7]
[7 5] + [9 12] = [16 17]
Now on to subtracting matrices.
[18 6] [5 7] [13 -1]
[15 3] - [14 9] = [ 1 -6]
Now, i will review how to find the slope of a line.
(4,3) (7,2)
2-4/7-3
The slope of the line is: -1/2
The slope of a line is 4/3. Find the slope of a parallel and perpendicular line, using this slope.
For the slope of a parallel line, it is the same as the slope of the original line. So the slope of this parallel line is: 4/3
When finding the slope of a perpendicular line, you take the negative reciporcal of the original slope. So the slope of this perpendicular line is: -3/4
That's it for this review.
Friday, March 11, 2011
Taylor's 14th(I think XD) Blog Review
This is the review on my notes from Ch. 13.2.
A recursive means define in terms of what came before.
This is what you need to remember:
tn-1 previous term
tn-2 2 terms back
tn-3 ....
Ok let's do some examples.
Find the third, fourth, and fifth terms given. t1=4 tn=8tn-1+7
t1=8 (4)+7= 39 First replace tn-1 with the previous terms. You will keep doing this until you get all three answers. Remember to use your answers and not t1!!
t2= 8 (39) + 7 = 319
t3= 8 (319) + 7= 2559
t4= 8 (2559) + 7 = 20479
t5= 8 (20479) + 7 = 163839
So your answers will be 2559, 20479, and 163839.
Now let's try finding the recursive definition for 8, 12, 16, 20...
First, you need to figure out how much is in-between each number and how to get to the next number with the previous numbers help.
Since there is 4 in between each number your answer or equation will be tn-1+4.
This is the review on the rest of my notes on Ch. 13.2. So SEE YALL!!! JA NE!!!(Japanese word for goodbye)
Sunday, March 6, 2011
Nathan's blog
So, now i will just review different stuff throughout chapter 5.
Rule of 72
72/r%=how long it takes to double
How long will it take to double your money at a 12% interest?
72/12=6
We learned a formula for interest:
A(t)=Ao b^t/k
Ex. A bank advertises that if you open a savings account, you can double your money in twelve years. Find out how much money you will have after 7 years, if you invest $1,000 into your account.
A(t)=1000(2)^7/12=$1498.31
I'm very happy to get out of chapter 5, hopefully i will understood the information better in the 4th nine weeks, because that will probably be the toughest part of the year in math.
Nicala's Post
Example Problem
A vector with an initial point of (-6,-2) and terminal point of (-5,3) is translated so that its initial point is at the origin. Find its new terminal point.
To find the terminal point you have subtract them from each other.
you subtract -5 minus -6. since you are subtracting and the six is negative the six becomes positive which gives you 1 as your first new terminal point.
next you subtract 3 minus -2 since you are subtracting and the two is the two becomes positive
which gives you 5 as your second new terminal point.
the answer is (1,5)
Friday, March 4, 2011
Taylor's 14th(I think XD) Blog Review
This is the review on the rest of my notes from Ch. 13.1.
A sequence is a set of numbers. Today we will learn a bit about geometric sequence which is when you multiply the same number to every term.
This is the formula:
tn= t1 x r ^n-1
r is the number that is being multiplied or divided. The n and one by the t are small to.
Ok let's do some examples.
Find the first 4 terms of this equation tn= 3 x 2^ n-1
t1=3 x 2^ 1-1 First replace n with 1,2,3,and 4 and solve the equation.
t2=3 x 2^ 2-1
t3=3 x 2^ 3-1
t4=3 x 2^ 4-1
t1= 3 Then you have your answers.
t2= 6
t3= 12
t4= 24
9,36,144,576.... find the formula for the nth term.
9,36,144,576.... First you need to figure out what is being multiplied or divided from each number. In this case it is multiplying by 4.
tn= t1 x r ^n-1Then write out your equation.
tn= 9 x4 ^n-1 Then fill out the parts that you know and since you cannot do anything else to this equation this is your answer.
This is the review on the rest of my notes on Ch. 13.1. So SEE YALL!!! JA NE!!!(Japanese word for goodbye)
Charlie.
But anyways, in aleks i ended up having to take the stupid assessment thingy & got knocked down to like 70 in my blue thingy..
It's friday, in first hour.
& i think today in math class we'll be coming to the lab or A1 to do 7 alek modules.
but not the library because the book fair is this week, so yea.
then, on monday we could start on the extra credit thingy.
extra credit this nine weeks is 50 aleks modules.
which, idk how i'm goin to do that because MY COMPUTER'S BROkEN!
but, i guess i'll figure something out because i would like a really good grade this time.
... This week we learned 2 (or 3?) new sections in chapter (i think) 5.
then we pretty much reviewed for the rest of the week and took our exam yesterday (thursday).
when i was doing the practice chapter test in the text book i knew what i was doing,
but when i actually took the exam; i was like "WhAt?!?"
so, (basically) i do believe that i FAILED(:
example of something:
log2~x = 4
2^4 = x
x = 16