Help Plz (1 Viewer)

[ahohen_77]

here are some questions i couldnt't get recently:

1. write down the equation whose roots are the abscissae of the points of intersection of the curves
xy= 5 and y=x^2 -5x+6

there was another question similar to this however it said ordinated instead of abscissae..plz explain what these terms mean

2. When 3^2004 is divided by 10, what is the remainder


theres is also a question on geometry in the file attach which i couldnt get..

anyways thanks

 

[~*HSC 4 life*~]

Abscissae = x coordinate and ordinate= y coordinate i think


bargh!! time for me to go and study for my half yearly tommrow!!!

 

[Affinity]

^^ yes

1, you eliminate the y's from the equations

substituting the second equation into the first.
so x(x^2 - 5x + 6) = 5

2.)

3^2004 = 9^1002 = 81^501
and you can see the last digit is 1 in the expansion, so the remainder is 1.

(81*81 = xxx1 then you multiply by 81 again, but the last digit remains 1, no matter how many 81s are being multiplied

3.) AX = EX by symmetry
EX^2 + EB^2 = BX^2
but BX = (7 - AX) = 7 - EX
EX^2 + 3^2 = 7^2 + EX^2 - 14EX
14EX = 40
EX = 20/7
AX = 20/7

 

[ahohen_77]

thanks affinity!by the way do u do actuarial studies at macquarie?

 

[Affinity]

me? I am at UNSW .. and the quote in my signature is from someone else's conversation