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Sketch the graph of x^2 - y^2 = 16

Before attempting to re-arrange the equation, we take an organic approach to looking at asymptotes:1) What happens to y when x=0 and when x -> infinity? What happens to x when y=0 and when y -> infi...

Answered by Maths tutor
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‘Partisanship is a bigger issue affecting the legislative branch of the US than the UK.’ Evaluate this statement. [25 marks]

Partisanship in the legislature can be considered as an issue for the both the US and the UK as it can be argued that it is detrimental to the representative democracy which is practiced in both countries...

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Write a short story about darkness.

Darkness, a Scary Thought.I faintly remember whathappened that night, that’s the reason why I’m sitting here. I can’t thinkclearly, see straight and yet I continue to see glimpses of him,...

Answered by English Language tutor
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Q15 from Senior Mathematical Challenge 2018: A square is inscribed in a circle of radius 1. An isosceles triangle is inscribed in the square. What is the ratio of the area of this triangle to the area of the shaded region? (Requires Diagram))

Radius = 1, therefore diameter = 2Let x be the length of one side of the square.Using Pythagoras,x2 + x2 = 222x2 = 4x = sqrt(2)Area of isosceles triangle = side...

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Answered by Thomas H. Maths tutor
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Solve e^(2x) = 5e^(x) - 6, giving your answers in exact form

Solve e2x = 5ex - 6e2x - 5ex + 6 = 0(ex)2 - 5ex<...

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Answered by Thomas H. Maths tutor
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