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Write x^2+4x-12 in the form (x+a)^2+b where 'a' and 'b' are constants to be determined.

This question is asking us to complete the square. To find the value of a we must halve the coefficient of x. So, in this question: a = 4/2 = 2. To find the value of b we take the constant at the end of the ...
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Answered by Fizza A. • Maths tutor
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Factorise x^2-x-12

To factorise this equation we want to get 2 brackets. We are looking for 2 numbers which multiply to make -12 and add to make -1. So, let's see some factors of -12: -12 = (-1) x 12; (-2) x 6; (-3) x 4; (-4) ...
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Answered by Fizza A. • Maths tutor
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In what ways were the lives of women in Germany affected by Nazi social policies? [8 marks]

Nazi policy directly affected the lives of women in Germany in the years 1933-1945. One of the Nazi's social objectives was to create a homogenous family structure and a larger Aryan race. As a result, women...
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Answered by Brandon S. • History tutor
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How does George Orwell make his vision disturbing in 1984?

George Orwell's vision of a dystopian world is most disturbing not because of its absurdity but because of the parallels it draws with our own society. By creating a world which features many 'uncanny' featu...
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How are blood vessels fit for purpose?

Arteries - carry blood at high pressure away from the heart. Their narrow lumen and thick, muscular wall allows them to do this effectively. The elastic, muscular wall allows for expansion and relaxation of ...
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Answered by Anna T. • Biology tutor
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