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A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

First we must complete the square on both x and y. To complete a square we must take the number before the x and half it, for example nx we get n/2. We then write it as (x + n/2) 2 - (n/2) 2 . So for our que...
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Answered by Reuben M. • Maths tutor
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The following sequence reads: 8, 5, 2, -1. What are the 4th and 50th terms of this sequence?

With sequences we should follow the general formula of An + B . The n refers to the position in the sequence i.e. for the 3rd number in the sequence (which is 2 in the above sequence) n=3. The A refers to th...
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Answered by Aneesh S. • Maths tutor
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Arrange the following decimals in order of size: 0.45, 1.09, 0.3, 0.08

There are 5 steps you can follow to make this sort of problem easier to handle: 1) Line up all of the values in a column with the decimal points under each other 2) Ensure each value is the same length by fi...
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Answered by Aneesh S. • Maths tutor
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How do I revise for an English exam?

Whether you are studying a play, novel or poem the key revision techniques are very similar. Firstly, I would say the most important aspect is to familarise yourself with the text itself. For example, with a...
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Answered by Isobel P. • English tutor
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What is the difference the secondary structure and tertiary structure of a protein?

Secondary Structure The secondary structure of a protein refers to the basic foldings of a protein the forms of: 1. an alpha helix 2. a beta-pleated sheet These foldings are determined by hydrogen bonds. The...
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Answered by Daniella A. • Biology tutor
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