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|dw:1346965908373:dw|

because the two angles reflect eachother

explain more please . thanks

now think of two linear equations - these would represent, say:\[y=m_1x+c_1\]and:\[y=m_2x+c_2\]

ok

agreed .

therefore, we can say:\[m_1x+c_1=m_2x+c_2\]at the point of intersection

which is the same as saying:\[y=y\]

because y=y thats grate . amazing . tell if we have quadratic equations |dw:1346967366273:dw|

|dw:1346967476493:dw|

correct

lets say

and each of these, in theory could give you two different y values

y1=x^2 +mx + c
and
y2=x^2 +mx + c

quads are usually written as:\[y=a_1x^2+b_1x+c_1\]and:\[y=a_2x^2+b_2x+c_2\]

ok

so at the points of intersection we will have:\[a_1x^2+b_1x+c_1=a_2x^2+b_2x+c_2\]

in general, we could have two curves defined by:\[y=f(x)\]and:\[y=g(x)\]
|dw:1346967756823:dw|

|dw:1346967787868:dw|

ya

and, at each point of intersection, the y and x values on each curve are equal

I hope I have explained it well enough for you - let me know if you require any more explanation

have outdone yourself

many thanks.

thx - and you are welcome my friend! :)

what is the highest think your done in maths??

think == thing?

ya sorry

WOW, thats great. can send you some of my question from time to time?

by that i meant , the message on the top left corner. thanks

ok - thats fine.

am going to do a lot of calculus. nice one

thanks. I will be patient . :)

gr8! speak to you later then...