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Finding out the length of one side of a triangle

The way to find the length of one side of a triangle can be to use SOHCAHTOA, an abbreviation learnt to help rememeber the process. SOH stands for sin = opposite / hypotenuse , CAH stands for cos = adjacent ...
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Answered by Anesha A. • Maths tutor
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How do I factorise quadratic equations?

Take the example x 2 + 5x + 6.You need to think of 2 numbers that multiple together to make 6, and add together to make 5. Therefore in the brackets we need 2 and 3. As all the signs are positive in this exa...
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Answered by Adam S. • Maths tutor
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If y = (4x^2)ln(x) then find the second derivative of the function with respect to x when x = e^2 (taken from a C3 past paper)

The first thing to recognise is that this function is a product of two functions: namely, 4x^2 and ln(x), thus we must employ the product rule in order to find the solution. As you may recall, the product ru...
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Answered by Caspar S. • Maths tutor
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How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

Firstly we rearrange one of these equations so that we have y on one side of the equation on its own. Let's do this with the second equation. So from 5x+y=14, we can minus 5x from both sides to get: y=14-5x ...
IB
Answered by Imogen B. • Maths tutor
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How would you solve a quadratic equation by factorising?

Solve the equation : x 2 - 8x + 15 The first step is to factorise the quadratic equation. 1. You must find two numbers which will add to give -8 and multiply to give 15. The numbers that would do this are -5...
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Answered by Angelin G. • Maths tutor
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