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The point on the circle x^2+y^2+6x+8y = 75 which is closest to the origin, is at what distance from the origin? (Taken from an MAT paper)

This is a good example of a question where intuition about geometry is important. Completing the square is a standard A level practice to find the equation of a circle. Doing this we get(x+3)

JM
Answered by Jack M. Maths tutor
6929 Views

Can you prove to me why cos^2(X) + sin^2(X) = 1?

The answer to this lies in the geometry of a circle. At GCSE you were taught that a circle has a radius (which I will call R) which is the distance from the centre to a point on the circle. We pu...

JM
Answered by Jack M. Maths tutor
3601 Views

Examine the view that “‘A Streetcar Named Desire’ is not only the story of a desperate woman, but of a culture in the state of crisis”.

Indeed, Blanche DuBois is a woman in desperation. The initial monologue, ‘I, I, I took the blows’ conveys a gritty, realistic tone as Blanche has witnessed the death of those around her and now has nowher...

TD
5913 Views

A) Raf, Jasmin and Carlos swim lengths of the pool for charity. Raf swims 30 more lengths than Jasmin. Jasmin swims four times as many lengths as Carlos. Altogether they swim 372 lengths. How many lengths each person swim?

NB: Algebra question. As Carlos swims the lowest amount of lengths compared to Raf and Freya, and the information from the question follows from the total amount Carlos has swam, we use the symbol 'S' to ...

FW
Answered by Fergus W. Maths tutor
2772 Views

In an Inspector calls, how does Eva smith represent the society of the time?

Eva smith, represents not only responsibility but forces the Birling family to feel and accept their guilt. She is the symbol of the working class within a capitalist society; 'smith' being a common surna...

AW
Answered by Alexandra W. English tutor
53960 Views

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