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Find the centre and radius of the circle with equation: x^2 + y^2 -4x +8y = 5, and determine whether the point (7,-4) lies on the circle.

First we complete the square on the equation of the circle to obtain: (x-2)^2 -4 + (y+4)^2 -16 = 5. Re arrange : (x-2)^2 + (y+4)^2 = 25 General equation of a circle: (x-a)^2 + (y-b)^2 = r^2, with centre (a,b...
AS
Answered by Alec S. • Maths tutor
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Outline family intervention (6 marks)

Family intervention is a series of at least 10 sessions over a period of 3-12 months which involves both the patient and their family. The aim of family intervention is to improve family functioning to make ...
HW
Answered by Hannah W. • Psychology tutor
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What are the properties of water?

This is part of the chemistry of life chapter. Its important to Biology because : Water is the medium of life and biology is the study of life. Water molecules are polar. this means the molecule is charged O...
SB
Answered by Shirleen B. • Biology tutor
5935 Views

How can I get an A (7) in a writing assessment?

In order to get an A, you need to show that you're comfortable using a range of different tenses, structures and vocabulary. By comfortable, they mean that you can use the tense accurately and several times ...
JI
Answered by Jonathan I. • French tutor
2920 Views

How to express one quantity as a percentage of another?

There are several ways to do this which make it particularly interesting. I would advise trying to avoid doing it by eye, this leaves you open to many clumsy mistakes. My preferred method is using equivalent...
SP
Answered by Sebastian P. • Maths tutor
3354 Views