Well I figured out that one, id show what I came up with but I dont have the slightest clue how to show a graph like that on the computer.
New problem now: 2x² - 3xy - 2y² + 10 = 0
a = 2, b = 3, c = -2
plugging it in, tan2θ = -3/(2 -(-2)) -3/4
using the reference angle from tan-¹ 3/4 I get 2θ = 143.2 so the angle of rotation would be 71.6°
Plugging that into the other forumlas im gonna get a big mess of decimals....
Wonder if there is any way to keep it rationalized????
Ok I figured it out. Just had to plug the a b and c values into the Cot2θ = ( a - c ) / b. Solving for that im getting θ as 30°. Then I plug it into x = x'cos 30 - y' sin 30 and y = x' sin 30 + y' cos 30.
I simplified them into x = (√(3)x' - y')/ 2 and y = (x' + √(3)y')/2. Plugged them both back into
7x² - 6√(3)xy + 13y² - 16 = 0. And got this for the standard form (x')²/ 4 + (y')²/1 = 1. Im hopeing that is right. How would I go about graphing that, im not sure where to start?
No the whole problem wasnt that but thats the only part I was stuck on, I know the angle of rotation is 45°. Its just a bad example. The roatation of an ellipse shows it better.
The equation given is 7x² - 6√(3)xy + 13y² - 16 = 0. Its an ellipse that is rotated, but im not sure how to find that degree of rotation
Yay it fits too, im doing this crossword for chemistry and I dont know half the stuff.
Ive got another one too, what is a synonym for paris(no idea what it had to do with chemistry), 12 letters, and there is a "d" as the seventh letter from the top, unless a carnelian relative isnt sard. I was thinking cityoflights. It fits but no d. Mabye it isnt sard...
I think the teachers answer is right, in the order of operations it goes: parentheses, exponets, multiplication, division, addition, then subtraction. So in the problem first you would put in the given variables, (2(2) + 2(4) / 2(6), then (4 + 8) / 12, then 12 / 12, which simplifys to 1.
In my idea it would put Mr.black and Mr.Gray against each other in the end, that is best possible senario for mine, instead of Mr. black up against Mr. White as the last two to where if you miss Mr. White then you die next shot, but if its upagainst Mr. Gray as in mine, if you miss then there is a chance he might miss too giving you another shot.
I would shoot at Mr. White because if you shot Mr.Gray and killed him Mr. White would go next and always hits the person so you would be dead, but if you shoot Mr.White and hopefully kill him, you go up against Mr. gray who only hits it 2/3 of the time so he might miss giving Mr. Black another shot against Mr. White.
In my opinion the death penalty doesnt just include lethal injection, the chair ect. but also includes life sentences because either way you are going to die for your crime, such as the state I live has no death penalty but a few months ago when a man was convicted of some horrible crimes, I wont say what, he was given I think 1300 some years in prison without bail. So what would be worse, knowing you are gonna die right then and there, or knowing you will never leave the prison you are in and will live there and die there no matter what.
This object spams with sinister shadows spewing into vast landscapes with trees chopped up completely by chainsaws while chickens sing murderously the national baking anthem about ovens exploding into oblivion and masses of yellow heads filled with spasms of muscles.
Look at ...
This object spams with sinister shadows spewing into vast landscapes with trees chopped up completely by chainsaws while chickens sing murderously the national baking anthem about ovens exploding into oblivion and masses of yellow heads filled with spasms of ...