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Prove Pythagoras' Theorem

Never in a GCSE syllabus, but still a question I had as a student and one I hear today- something, I feel, is worth going over (Similar in a sense to proving that completing the square works). We use the ...

Answered by Sam C. • Maths tutor

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Find the point(s) of intersection of the curve y=x^2+7x+14 and y=2x+8:

Equate the two graphs:x²+7x+14=2x+8Rearrange to find a single quadratic:x²+5x+6=0Factorize and solve:(x+2)(x+3)x=-2 x=-3Sub x values into one of the original graphs to find y:(-2,...

Answered by Daniel M. • Maths tutor

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Describe how the sperm cell is adapted to its function.

The sperm cell is adapted to its function in multiple ways:It has a tail which enables it to swim towards the egg.The middle section of the cell is packed with mitochondria. This allows it to release the ...

Answered by Huw H. • Biology tutor

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What's the quadratic formula used for?

Firstly, it's important to understand what the formula is. It is essentially a re-arrangement of a quadratic equation, however the formula can be learnt so that it can be applied quickly within an exam co...

Answered by James H. • Maths tutor

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