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Math help

Blogs > il0seonpurpose
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il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
August 11 2008 21:13 GMT
#1
So I'm cramping right now doing my math homework for pre calc, most of these problems are algebra 2.

[image loading]



I need help on 26 and for 37, i forget how to find the length.

Thanks
And another problem. x^2-4x-12=0, it says solve by completing the square and don't factor.

Meta
Profile Blog Joined June 2003
United States6225 Posts
Last Edited: 2008-08-11 22:25:36
August 11 2008 21:16 GMT
#2
length formula is Sqrt((a1 - a2)^2 + (b1 - b2)^2)

midpoint is half the length in the direction of the other point.

edit: kau figured out the midpoint, i misread one of the points ><

I totally have no idea how to do 26 lol, been like 4 years since i did that algebra
good vibes only
il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
August 11 2008 21:17 GMT
#3
You square the (b1-b2) right? You had jsut ^ on it, thanks!
thedeadhaji *
Profile Blog Joined January 2006
39489 Posts
August 11 2008 21:32 GMT
#4
completing the square
http://mathforum.org/library/drmath/view/53160.html


lol totally forgot about this method.
Kau *
Profile Joined March 2007
Canada3500 Posts
Last Edited: 2008-08-11 22:16:48
August 11 2008 21:33 GMT
#5
length = sqrt((-6-2)^2+(-2-4)^2)
length = sqrt(64+36)
length = 10

midpoint_x = (-6+2))/2 = -2
midpoint_y = (-2+4)/2 = -1
midpoint = (-2,-1)

(3-sqrt(2)) / (2sqrt(3)+5)
(3-sqrt(2)) / (2sqrt(3)+5) * [(2sqrt(3)-5) / (2sqrt(3)-5)]
(3-sqrt(2))*(2sqrt{3}-5) / (4*3-25)
(6sqrt(3)-15-2sqrt(6)+5sqrt(2)) / (4*3-25)
-(5sqrt(2)+6sqrt(3)-2sqrt(6)-15) / 13

x^2-4x-12=0
x^2-4x+4-4-12=0
(x-2)^2-16=0
(x-2)^2=16
x-2=4
x=6
Moderator
raiame
Profile Joined December 2007
United States421 Posts
August 11 2008 21:36 GMT
#6
Yeah that's how you do length.
For 26, you multiply the top and the bottom by the conjugate of the bottom, so multiply top and bottom by 5-2rt(3). Bottom turns out to be 13, top becomes something else (too lazy).
As for completing the square, you just find the square that has x^2-4x in it, which is (x-2)^2=x^2-4x+4. Make the left side into that by adding 16 to both sides, then take the square root and account for both positive and negative.
il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
August 11 2008 22:04 GMT
#7
Ok thanks guys!
il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
August 11 2008 22:05 GMT
#8
I need help on 39 actually too ><
goldrush
Profile Blog Joined June 2004
Canada709 Posts
Last Edited: 2008-08-11 22:11:03
August 11 2008 22:10 GMT
#9
39:

You take the zeroes, that's where y = 0, therefore:

(x+2)(x)(x-3)(x-4) = y is the formula, because if x = -2, 0, 3 or 4, y = 0.
Jathin
Profile Blog Joined February 2005
United States3505 Posts
August 11 2008 22:21 GMT
#10
--- Nuked ---
il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
August 11 2008 22:25 GMT
#11
Real quick, what are the domain and ranges of the following?

y=(x+1)^2-3
y=lnx
y=1/(x-2)
thoraxe
Profile Blog Joined March 2007
United States1449 Posts
Last Edited: 2008-08-11 22:28:52
August 11 2008 22:26 GMT
#12
On August 12 2008 07:10 goldrush wrote:
39:

You take the zeroes, that's where y = 0, therefore:

(x+2)(x)(x-3)(x-4) = y is the formula, because if x = -2, 0, 3 or 4, y = 0.

oh wow, totally forgot how to do that one, thanks for the refresh. *All that you have to do now is multiply all those variables.*
Obama singing "Kick Ass" Song: http://www.youtube.com/watch?v=yghFBt-fXmw&feature=player_embedde
Roffles *
Profile Blog Joined April 2007
Pitcairn19291 Posts
August 11 2008 22:29 GMT
#13
On August 12 2008 07:25 il0seonpurpose wrote:
Real quick, what are the domain and ranges of the following?

y=(x+1)^2-3
y=lnx
y=1/(x-2)


Domain: X values which exist.
Range: Y values which exist.

Plug some numbers in each equation, find it out. Or graph it and find it yourself. You should be spanked for not trying these yourself.

God Bless
il0seonpurpose
Profile Blog Joined January 2007
Korea (South)5638 Posts
August 11 2008 22:31 GMT
#14
I already tried.

On the y=1/(x-2), all numbers work expect 2 but I don't know how to put that in a proper way. Do I just say all real numbers but 2?
Kau *
Profile Joined March 2007
Canada3500 Posts
August 11 2008 22:34 GMT
#15
Ya just put all real numbers except 2
Moderator
blabber
Profile Blog Joined June 2007
United States4448 Posts
August 11 2008 22:41 GMT
#16
or you could do something like "domain: (-infinity, 2) , (2, infinity)"

Pretty sure. Sorry it's been awhile haha (like two years ago!)
blabberrrrr
ZpuX
Profile Blog Joined December 2002
Sweden1230 Posts
August 11 2008 22:47 GMT
#17
just look for undefined operations, such as divsion with zero, (x-2) = 0 when x = 2, or the square root of a negative number.
the range for y = ln(x) should be any positive number bigger than 0.
Really, play for fun!
Pressure
Profile Blog Joined October 2006
7326 Posts
August 11 2008 22:56 GMT
#18
what grade are you in? im not trying to insult you or anything but im just wondering... what grade does algebra ii / pre calc come in kentucky(?) ?
Kau *
Profile Joined March 2007
Canada3500 Posts
August 11 2008 22:57 GMT
#19
y=(x+1)^2-3
D: (-infty, infty)
R: [-2, infty)

y=lnx
D: (0,infty)
R: (-infty, infty)

y=1/(x-2)
D: x =/= 2
R: y =/= 0
Moderator
ZpuX
Profile Blog Joined December 2002
Sweden1230 Posts
August 11 2008 23:14 GMT
#20
On August 12 2008 07:57 Kau wrote:
y=lnx
D: (0,infty)
R: (-infty, infty)

should be D: (>0) ?
Really, play for fun!
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