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Staredit Network -> Miscellaneous -> TeH Algebra Thread
Report, edit, etc...Posted by WoAHorde2 on 2006-10-10 at 22:47:25
This is how this "1337" Algebra thread works. I post an Equation and ask for an answer. Whoever gets it right posts another Equation, so on and so forth.

[-4-5(y+2x)-23]+[4+5(3x+4y)]

Note: The -4 is NEGITIVE 4. It is the only negative in the equation.

SIMPLIFY


Report, edit, etc...Posted by FatalException on 2006-10-10 at 22:52:16
ACKKKKKK!!! *Melts*
Report, edit, etc...Posted by Doodan on 2006-10-10 at 22:53:37
I wonder how long this "game" will last...
Report, edit, etc...Posted by WoAHorde2 on 2006-10-10 at 22:57:02
So do I Doodan tongue.gif. Ok I jsut solved the problem, although I' not 100% sure on my answer. And oh a hint, DISTRIBUTIVE PROPERTY
Report, edit, etc...Posted by Night on 2006-10-10 at 22:58:16
QUOTE(WoAHorde2 @ Oct 10 2006, 08:47 PM)
[-4-5(y+2x)-23]+[4+5(3x+4y)]

15y + 5x - 23 (fixed it)
What is the vertex of: 3x²+96x+3073 ?
ADDITION:
The extended formula (without brackets):
-4-5y-10x-23+4+15x+20y
Combine like terms:
-4+4-23 = -23
-10x+15x = 5x
-5y+20y = 15y
Report, edit, etc...Posted by WoAHorde2 on 2006-10-10 at 23:05:48
I believe your answer is right, althought I got 25x + 15y -23. We don't agree on x.

Add:
Well heres how I did it.

[-4-5(y+2x)-23]+[4+5(3x+4y)]
Use Dist Property
(-4-5y+10x-23)+4+15x+20y

Combine Like Terms On One Side

(-27-5y+10x)+(4+15x+20y)

Switch Numbers and Variables Over

-27 + 4 = -23
-5y + 20y = 15y
10x = 15x = 25 x

Final ANswer

25x + 15y - 23
Report, edit, etc...Posted by Night on 2006-10-10 at 23:13:43
QUOTE(WoAHorde2 @ Oct 10 2006, 08:47 PM)
[-4-5(y+2x)-23]+[4+5(3x+4y)]
[right][snapback]574738[/snapback][/right]

that part comes out to -5y - 10x. a NEGETIVE 10 x.

Now solve mine:
QUOTE(Night @ Oct 10 2006, 08:57 PM)
What is the vertex of: 3x²+96x+3073 ?
[right][snapback]574748[/snapback][/right]
Report, edit, etc...Posted by WoAHorde2 on 2006-10-10 at 23:15:22
Oh I forgot to carry over the engitive, silly me tongue.gif
Report, edit, etc...Posted by Syphon on 2006-10-10 at 23:18:59
[-4-5(y+2x)-23]+[4+5(3x+4y)]
= -4 - 5y - 10x - 23 + 4 + 15x + 20y
= 5x + 15y -23

...

DUR DUR DUR.
Report, edit, etc...Posted by Zeratul_101 on 2006-10-10 at 23:21:09
damnit night, why did you have to use such a large number. i think its -16, 2305

EDIT: doh, got my signs mixed up

EDIT: doh, got my signs mixed up again! i'm hopeless sad.gif
Report, edit, etc...Posted by Night on 2006-10-10 at 23:25:52
No the vertex is two numbers (the point where the axis of symatry intersects the parabola) comes in the form of (x,y) or aka: (p,q)

ADDITION:
Oh you did put two numbers, but no thats not the answer.

Heres the first step:
3(x²+32x+1024)+2305

Correct Zera! -16, 2305
... oops my mistake.
Report, edit, etc...Posted by Rantent on 2006-10-10 at 23:28:56
I hope you know that subtracting a numer is like adding a negative...

[-4-5(y+2x)-23]+[4+5(3x+4y)] = -4-5y-10x-23+4+15x+20y = 15y+5x-23 Simple as it goes.
Report, edit, etc...Posted by Syphon on 2006-10-10 at 23:30:03
3x²+96x+3073

{Inster quadratic formula here}

x[sub]1[/sub] = -16 + 67.89698i and x[sub]2[/sub] = -16 - 67.89698i

Vertex is x[sub]1[/sub] + x[sub]2[/sub] / 2

I'm too lazy to simplify it.

EDIT - I need to note to you, that I am failing math class.
Report, edit, etc...Posted by Zeratul_101 on 2006-10-10 at 23:31:49
why the freak is there a one over there...

anyhow, this is what i got

0 = 3x^2 + 96x + 3073

-3073 = 3(x^2 + 32x)

768 - 3073 = 3(x^2 + 32x + 256)

-2305 = 3(x + 16)^2

y = 3(x + 16)^2 + 2305
Report, edit, etc...Posted by Night on 2006-10-10 at 23:35:52
Here's a simple one.

If nm=0 does that prove that n+m=0?
FYI: Zera, I edited the post above.
Report, edit, etc...Posted by Zeratul_101 on 2006-10-10 at 23:36:43
errr, i can't think up any eqquations pinch.gif
Report, edit, etc...Posted by Syphon on 2006-10-10 at 23:37:04
QUOTE(Zeratul_101 @ Oct 10 2006, 10:31 PM)
why the freak is there a one over there...

anyhow, this is what i got

0 = 3x^2 + 96x + 3073

-3073 = 3(x^2 + 32x)

768 - 3073 = 3(x^2 + 32x + 256)

-2305 = 3(x + 16)^2

y = 3(x + 16)^2 + 2305
[right][snapback]574772[/snapback][/right]


We're trying to find the vertex. (x = -16)
Report, edit, etc...Posted by Zeratul_101 on 2006-10-10 at 23:37:21
IRT to night

no


IRT to syphon

thats the axis of symmetry, not vertex
Report, edit, etc...Posted by CheeZe on 2006-10-10 at 23:38:51
Boring. tongue.gif
Report, edit, etc...Posted by Syphon on 2006-10-10 at 23:39:09
QUOTE(Night @ Oct 10 2006, 10:35 PM)
Here's a simple one.

If nm=0 does that prove that n+m=0?
FYI: Zera, I edited the post above.

[right][snapback]574775[/snapback][/right]


No. 0 + R>0 ≠ 0, 0 x R>0 = 0
Report, edit, etc...Posted by Night on 2006-10-10 at 23:39:12
QUOTE(Syphon(MM) @ Oct 10 2006, 09:36 PM)
We're trying to find the vertex. (x = -16)
[right][snapback]574777[/snapback][/right]

The proper way to show the vertex is: ( p , q ) = ( -16 , 2305 )
EDIT: What you have there is the equation for the axis of symatry (how u spell this?)
Report, edit, etc...Posted by Syphon on 2006-10-10 at 23:40:11
QUOTE(Zeratul_101 @ Oct 10 2006, 10:36 PM)
IRT to night

no
IRT to syphon

thats the axis of symmetry, not vertex
[right][snapback]574778[/snapback][/right]


The vertex is the axis of symmetry. (Atleast in parabolas it is.)
Report, edit, etc...Posted by Zeratul_101 on 2006-10-10 at 23:41:57
axis of symettry only has an x coordinate, a vertex has both x and y
Report, edit, etc...Posted by HolySin on 2006-10-10 at 23:42:06
Let me screw this up for you guys with the older sibling of algerbra, Very Basic Calculus:

An airplane at an altitude of 10,000 ft is flying at a constant speed on a line that will take it directly over an observer on the ground. If, at a given instant, the observer notes that the angle of elevation of the airplane is 60º and is increasing at a rate of 1º per second, find the speed of the airplane.
Report, edit, etc...Posted by Zeratul_101 on 2006-10-10 at 23:45:28
omg, don't bring back trig sad.gif
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