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A circle with centre C(2, 3) passes through the point A(-4,-5). (a) Find the equation of the circle in the form (x-a)^2 + (y-b)^2=k

This question is aimed at A-Level Pure Core 1 students. A circle with centre C(2, 3) passes through the point A(-4,-5). Find the equation of the circle in the form (x-a)^2 + (y-b)^2 = k From the formula for ...
TC
Answered by Tilly C. • Maths tutor
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What is meant by ‘determinism’ and what are the different types I need to know for the AQA paper 3 exam?

Determinism refers to the understanding that all human behaviour is controlled and has an identifiable cause. It is the opposite to ‘free will’ which refers to individuals having active control over their ow...
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Answered by Jodie F. • Psychology tutor
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Prove by induction the sum of the natural numbers from 1 to n is n(n+1)/2

Need whiteboard throughout to properly answer, so will go through the ideas of what to do: Take the base case of when n=1, and show that (sum from 1 to 1) j = n(n+1)/2 is equal to 1. Take the assumption that...
OO
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What is the difference between hardwood and softwood?

Softwood is coniferous (like pine) meaning that the tree grows quickly and has large growth rings. This makes for a softer structured material that is easy to cut. Hardwood refers to to non-coniferous, often...
LD
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What is a dovetail joint?

The strongest joint for joinery purposes with the most surface area for gluing. It is done by cutting out small, equal blocks from the edge of a timber sheet. It is joined by applying glue between the male a...
LD
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