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Solve algebraically the simultaneous equations x^2 + y^2 = 25 and y − 2x = 5 (5 marks)

First consider each equation separately and label them with a number. x 2 + y 2 = 25 (1) y - 2x = 5 (2) This question is difficult as it involves square numbers, unlike a normal simultaneous equation. Hence ...
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Answered by Karisma S. • Maths tutor
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Factorise y^2 + 27y and simplify w^9/w^4

y 2 + 27y = y(y + 27)To factorise you need to find the common factor between each part of the equation. In this case y is common between the different parts of the equation. Therefore you take y outside of t...
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Answered by Lucy M. • Maths tutor
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What is oligopoly?

An oligopoly is a type of market structure. A good example to think about would be the supermarket industry, where we can see our main suppliers of this industry are the likes of Tesco, Asda, Aldi etc. In an...
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Answered by Siya P. • Economics tutor
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there are 11 sweets in a box four are soft centred and seven hard centred sweets two sweets are selected at random a)calculate the probability that both sweets are hard centred, b) one sweet is soft centred and one sweet is hard centred

a) First sweet you pick will be soft centred in 7 out of 11 cases, so the probability is 7/11when you are picking up a second sweet there are only 6 hard centred left and a total of 10, so the probability is...
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Answered by Artem T. • Maths tutor
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What is the geometry of a BF3 molecule?

The molecule is 'trigonal planar'.This is because the central atom, boron, is attached to three fluorine atoms, and each fluorine atom repels the other fluorine atoms as much as possible. The only configurat...
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Answered by Lauren S. • Chemistry tutor
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