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A circle has equation x^2 + y^2 - 8x - 10y + 5 = 0, find its centre and radius

To find the centre and radius of the circle, you need to get the equation into the form (x - a)2+ (y - b)2= r2. You can do this by rearranging to bring the x and y parts t...

Answered by Martha B. Maths tutor
6801 Views

The volume of a cone is V = 1/3*pi*r^2*h. Make r the subject of the formula.

Answering the question by acknowledging the student understands what the question is actually asking. The subject of the formula sits by itself on one side of the equation and doesn't app...

Answered by Alice-Kate R. Maths tutor
8239 Views

X is inversely proportional to Y. When X=4, Y=9. If Y=6, what is the value of X?

There are a few steps to this question. Before we can work out our value of X we will have to figure out an equation that links X and Y.Now if X were proportional to Y, then as X got bigger so would Y.We ...

Answered by Andrew W. Maths tutor
4678 Views

Hey I am having difficulties solving simultaneous equations? Please may you help me!

Yes of course.
I will start with an example. Try and solve these simultaneous equations I will talk you through the model answer below.
3x + y = -4 3x - 4y = 6
Notice both equations contai...

Answered by Georgina W. Maths tutor
2307 Views

Given y=rootx + 4/rootx = 4, find the value of dy/dx when x=8, writing your answer in the form aroot2, where a is a rational number.

First, we will write out the equation, writing the root x values in a way that allows us to differentiate them. Root x can be written as x^1/2 and 4/rootx can be written as 4x^-1/2. Now we can differentia...

Answered by Maths tutor
10934 Views

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