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The solution to this question can be obtained algebraically using substitution. As both equations are equal to y, this also means they are equal to each other. So firstly, substitute the simpler equation ...

This is because to be able to cancel an 'x' in the equation the 'x' needs to be multiplying every constant. For example, if you were to think of the 'x' as equaling 3 in the question above, then the 10 wo...

Pythagoras theorem is: A^2 + B^2 = C^2. This might look confusing but it is actually quite simple. Pythagoras can only be used on a RIGHT ANGLED TRIANGLE! Then what you do is that the side of the triangle...

To start with trying simplify any equation, you need to first see if the top part of the equation and the bottom part can be factorized. Fortunately the top part and bottom part of the equation are both q...

First we must find the gradient of the curve at the point (1, 4) - we do this by finding the derivative dy/dx, as we do to find any gradient. Differentiating the equation of the curve gives us that dy/dx ...