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Solve the simultaneous equations: x^2+y^2=36 ; x=2y+6

Substitute x in terms of y into the first equation: (2y+6) 2 +y 2 =36 Use FOIL to expand the brackets 4y 2 +24y+36+y 2 =36 => 5y 2 +24y=0 y(5y+24)=0 => y=0 or y=(-24)/5 Substitute these values of y int...
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Answered by Daniel B. • Maths tutor
33825 Views

How do vaccinations work?

People are immunised against pathogens through vaccination - usually an injection. A vaccine is comprised of dead , inactive or weakened pathogen or virus. These act as antigens (foreign proteins) that the b...
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Answered by Rachael O. • Biology tutor
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What are the best ways to practise Spanish at home if no one speaks it?

In the modern era, there are more ways than ever to practise a language without knowing someone who speaks it. Obviously, if you do know someone, that'd be ideal, but until you meet a Spanish speaking friend...
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Answered by Sebastian B. • Spanish tutor
3929 Views

Can you make 'p' the subject of the following equation? 4(p-2q)= 3p+2

When a question asks you to make something the subject of an equation, it is asking you to rearrange it to get it in the form of, for example when 'p' is the subject, 'p = ....' First we want to expand the b...
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Answered by Sarah M. • Maths tutor
20644 Views

What are the advantages and disadvantages of case studies?

Advantages: They provide a rich source of qualitative information and they often present an opportunity to research rare disorders or situations otherwise unethical to study. They may also offer some insight...
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Answered by Emma F. • Psychology tutor
36059 Views