Pythagoras Theorem;
a^2 + b^2 = c^2
We note that;
a^2 > 0
b^2 > 0
[the square of a real number is always positive]
therefore,
c^2 > a^2
c^2 > b^2
meaning, c is the longest side.
9. a) Show that if y = mx + k is a tangent to the hyperbola x<SUP>2</SUP>/a<SUP>2 </SUP>- y<SUP>2</SUP>/b<SUP>2 </SUP>= 1
that m<SUP>2</SUP>a<SUP>2 </SUP>- b<SUP>2 </SUP>= k<SUP>2</SUP>
Cambridge 4 unit: Conics 3.3 Question 9 (a)
I'm up to:
m= [b.sec@]/[a.tan@] ...(1)
b.tan@ - ma.sec@ = k ...(2)
but the worked solution says that the next step is:
(2)<SUP>2</SUP>-(1)<SUP>2</SUP> -> m<SUP>2</SUP>a<SUP>2</SUP>(sec<SUP>2</SUP>@-tan<SUP>2</SUP>@) +...
Exactly!
Since english is compulsary, people who have a weakness in NSW english will be at a disadvantage. Therefore, math should be compulsary to balance the bias in the education system.
Math should be compulsary.
theres this english teacher at my school who claims to be a feminist, but she wears enough makeup to clearly see where the the makeup beings and her skin ends. It's freaky.
For most subjects, if you do well, scaling doesn't affect you much. However this is not true for food tech. Even a very good mark in food tech gets scaled down atrociously.