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Find the coordinates of the centre C and the length of the diameter of a circle with the equation (x-2)^2 + (y+5)^2 = 25

Equation of a circle  ->  (x-a)2 + (y-b)^2 = r2     where the centre = (a,b) and the radius = r

Thus using the equation above we can conclude that the centre is (2,-5)

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MC
Answered by Michael C. Maths tutor
5243 Views

Solve 9x - 3 = 4x + 17

The objective of the question is to find an answer to x = ?, where ? is a number.

Start by 'moving' all the x's to one side of the equals sign and all the numbers to the other. This can be done by ...

MC
Answered by Michael C. Maths tutor
5018 Views

Expand and simplify fully 4(x - 2) - 2(3 - 5x)

Firstly, expand out the first bracket -    4x - 8 - 2(3 - 5x)    
Then the second bracket (remember a minus x a minus = a positive) -     4x - 8 - 6 + 10x

Then finally group the like terms to...

CR
Answered by Calum R. Maths tutor
4728 Views

The curve y = 4x^2 + a/ x + 5 has a stationary point. Find the value of the positive constant a given that y-ordinate of the stationary point is 32.

This question might look hard but can be easily answered by breaking it down into steps and remembering a few key things. The first step is to recognise that the question is mentioning a stationary point ...

HB
Answered by Helen B. Maths tutor
11076 Views

Rearrange y=(3x+5)/x to make x the subject

This question is asking us to make x the subject, so we’re aiming to end up with just x on its own on one side of the equation. Firstly, we need to get rid of the x on the bottom of the right-hand side, s...

CK
Answered by Chloe K. Maths tutor
6663 Views

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