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Solve the simultaneous equations: (1) x^2 + y^2 = 25 and (2) y - 3x = 13

Sub (2) y = 13 + 3x into (1)x^2 + (13 + 3x)^2 = 25x^2 + 169 + 39x + 39x + 9x^2 = 2510x^2 + 78x + 144 = 05x^2 + 39x + 72 = 0 (/2)5 72 = 360 - need a b=360 such that a+b=39a = 24 b = 155x^2 + 24x + 15x + 72 = ...
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Answered by Meghna M. • Maths tutor
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Square ABCD has length (x+3)cm and area 10cm^2. Show x^2 + 6x = 1

First sketch square ABCD. Split length into 3cm and then xcm for side AB and the same for side AD. Split the area of this square into 4 segments (a, b, c and d) such that a is a 3cm by 3cm square, b and c ar...
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Answered by Meghna M. • Maths tutor
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How do I memorise quotes?

The best way I have found through trial and error is to first create flashcards of those quotes. This lets you break down the many quotes you may need to remember into more manageable pieces of information. ...
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How should I go about analysing a text?

Before writing, read through the text and highlight anything that stands out to you. If it sounds funny or colloquial, then there is usually a point to be written about. For example, using an informal style ...
EH
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Henry invest £8000 in youtube at a compound interest rate of 2% per year. He wants to earn more than £500 interest. Work out the least time, in whole years, that this would take?

Each year his money will increase by 2%, meaning he will get 102% of his money from the previous year. This can be written as 1.02. After n years, he will make 8000 x 1.02 n . Calculate this for 1, 2, 3, 4.....
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Answered by Gillian L. • Maths tutor
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