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So x² + 9x + 20 = 0 My preffered way of solving this equation is to factorise the equation. (Though I understand that different students may find other ways easier) Factorisation is where the a...

Let's draw a line. It crosses the point (0,1), intercepting the y-axis (remember, y to the sky!) at 1 and the x-axis at the point (-2,0).

An equation tells us what a line looks like, it's...

let y=sec(x) = 1/(cos(X)) = cos(x)^-1

Thus dy/dx = -1(cos(x))^-2(-sinx) = sin(x)/(cos(x))²

= 1/cos(x)  x  sin(x)/cos(x)

=sec(x)t...

x=0.045 (45 recurring)

10x = 0.45 (45 recurring)

100x = 4.54 (54 recurring)

1000x = 45.45 (45 recurring)

To get rid of the decimals:

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If we think about a right angled triangle, it is the same as one half of a square or rectangle. This is because if we join two right angled triangles at their diagonal sides, we make a square or rectan...