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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 = r 2 where the centre = (a,b) and the radius = r Thus using the equation above we can conclude that the centre is (2,-5) In order to find the diamerer fo the cir...
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Answered by Michael C. • Maths tutor
6086 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 adding / s...
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Answered by Michael C. • Maths tutor
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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 together - 4x + 10x - 8 - 6 =...
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Answered by Calum R. • Maths tutor
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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 whi...
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Answered by Helen B. • Maths tutor
12275 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, so t...
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Answered by Chloe K. • Maths tutor
8185 Views