Sunday, March 20, 2011

Zomg

Zomg. Look who finally remembered that blogs exist!

So this week in Advanced Math we started chapter six, but we skipped 6-1 because B-Rob said it was dumb. So, one thing we learned was section 2 which is all about connics and the equation of a circle.

First, you must remember how to complete a square. To complete a square, you must put it in standard form. Then, get rid of the coefficient of x^2 or y^2. Next, divide the middle term by 2 and square it. Add the number to both sides. Then factor in (x )^2 form.

The mid point formula is also needed for this. As a remindered, it's (Xv1+ Xv2)/2, (Yv1+Yv2)/2.

The distance formula is used as well when given a center point and an outside point.

The equation of a circle is (x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center.

Example of how to make an equation--
C=(4,3) r=2
(x-4)^2 + (y-3)^2 = 4

Example of finding coordinates of the point where the lines intersect--
y= 2x-2 and circle x^2 +y^2=25
By calculator:
plug in y=2x-2 and y= + or - square root (25-x)^2
Then hit graph
Then hit second trace
The click a point on the top circle
Then a point on the line
Then guess where about they intersect.
Answer-
(3,4)

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