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When asked to rationalise simple Surd (square roots that cannot be reduced to a whole number) fractions in the form a/√b we are aiming to remove the surd in the denominator (bottom).----------------------...

So, Pythgoras Theorem mostly deals with right-angled triangles, ie a triangle with one 90 degree angle.

The slanted side is called the hypotenuse and let us denote it as c the bottom is called the ...

First, imagine that f(x) is written as y: 

y = (3x -6)/2

swap the variables over so you write y as x and x as y:

x = (3y - 6)/2

Next, solve for x...

A curve has parametric equations:

x = 2 + t²                           y = 4t

Find the cartesian equation of this curve.

A cartesian equation of a c...

To start make the equation equal y.
So y = 7x+4
Then rearrange the equation to make x the subject.
Subtract 4 from both sides: y-4 = 7x
Divide by 7: (y-4)/7 = x
Now write it in te...