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This question is assessing your knowledge of units and their conversion. Notice that the area units of the roll of card and the postcard are different, so it is important that before we carry out any calc...

The most important fact to remember with this question is that two perpendicular straight lines have gradients related by m₁ = -1/m_2. This can then be used to find the gradient of t...

The equation is of the formx²+bx+c=0This means it can be rearranged to(x+(b/2))²=(b/2)²-cTaking the square root of both sides leaves us with x.
x²-12x-45=0...

To answer this question we need to decide which differentiation rule to use . The quotient rule looks like the obvious choice, so lets try that. If f(x)=u(x)/v(x) (being careful that v(x) is not zero anyw...

A quadratic equation is one that contains an x^2 term that has a non 0 coefficient, There are three basic methods for solving a quadratic equation; factorising, completing the square, and the quadratic fo...