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Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10

y = x - 2 y 2 + x 2 = 10 Subsitutute the top equation into the second equation: (x-2) 2 + x 2 = 10 Expand out the brackets and simplify: x 2 - 4x + 4 + x 2 = 10 2x 2 - 4x - 6 = 0 x 2 - 2x - 3 = 0 Factorise t...
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Answered by Iman R. • Maths tutor
17347 Views

What system did Bach use to compose his Prelude in C Major?

Bach - being active during the Baroque period - used lots of different systems and methods for composing, depending on what type of piece he was writing. However, when it comes to his Prelude in C Major, he ...
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Answered by Sophie B. • Music tutor
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Explain why the element nickel has a high melting point

Nickel is a metal and therefore it contains positive ions, called protons, which are surrounded by a sea of delocalised electrons, which are negative ions. There is a strong force of attraction between these...
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Answered by James D. • Chemistry tutor
24910 Views

How do I differentiate (2x+1) / (3x^2 - 5)?

This is a typical example where the quotient rule is required to answer the question. This is clear because the function is made up of two other functions of x, one is the numerator and the other is the deno...
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Answered by Sophie T. • Maths tutor
5228 Views

A geometric progression has first term 3 and second term -6. State the value of the common ratio.

3/-6 = -2
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Answered by Elizabeth H. • Maths tutor
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