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Maths
GCSE

Solve for x 2x +3 + (4x-1)/2 = 10

2x +3 + (4x-1)/2 = 10                  The divisor (2) is the biggest problem right now so we need to get it on its own...

(4x-1)/2 = 10-2x-3                       Equation has been rearranged!

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SH
Answered by Shannon H. Maths tutor
4775 Views

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 ...

AS
Answered by Alec S. Maths tutor
6050 Views

3(x-2) - 2(x-2)

First expand each set of brackets:

(3x - 6) - (2x - 4)

Then simplify:

3x - 6 - 2x - (-4) = x - 2

BS
Answered by Beenita S. Maths tutor
2917 Views

How do I find the expression for the nth term in a series of numbers?

First write down the series of numbers e.g.  8,  12,  16,  20.

Calculate the difference between each term in the series 12-8 = 4, 16-12 = 4,  20-16 = 4 This shows that the expression will begin wit...

MB
Answered by Megan B. Maths tutor
17853 Views

Factorise and solve x^2 - 8x + 15 = 0.

Whenever faced with a quadratic equation in the form of AX^2 + BX + C = 0, the first thing you do is factorise it, which will look something like this: (X )(X ) = 0.You can see from this that when you mul...

ZN
Answered by Zarmala N. Maths tutor
2991 Views

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