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Put the following in order of size, smallest first: 8/sqrt3, sqrt6*sqrt2, sqrt48-sqrt27

First part of the question is to recognise that these are surds and we will need to simplify them. Then it is asking to place the values from smallest to highest. In order to simplify the surds we have t...

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Answered by Sandeep S. Maths tutor
3578 Views

solve the Simultaneous equations: y= x+6 and y=2x^23

2x2 = x + 62x2 - x - 6 = 0
[+-1 x-12]2x2 - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2
y = 2 + 6 y = 8
y = -3/2 + 6y = 9/2
(2,8)(-3/2...

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Answered by Lehana D. Maths tutor
3298 Views

Differentiate Sin^2(X) with respect to X

'With respect to X' means we will be differentiating all the X parts (To put it simply). First we show that the differential of Sin(X) is Cos(X), we can show this graphically using the whiteboard. Then we...

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Answered by Thomas H. Maths tutor
14548 Views

Prove that 0.5757... (recurring) = 19/33. Hence, write 0.3575757... (recurring) as a fraction in its lowest terms.

Two parts to the question. Let's focus on part one:Let x = 0.575757... (1)This means that 100x = 57.575757... (2)If you subtract (1) from (2), we get: 99x = 57Divide both sides by 99: x = 57/99Simplify: x...

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Answered by Oliver V. Maths tutor
6905 Views

Find the positive solution to b^2 +5b – 6 =o


(b-1)(b+6)=0b= 1 and -6Positive Solution = 1

Answered by Maths tutor
2906 Views

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