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Simplify √90+√360+5√10

The object of surds is to look for square numbers in each term and take the square root of them. √90=√9 √10=3√10 √360=√36 √10=6√10 Therefore adding all the terms together 3√10+6√10+5√10=14√10
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Answered by Liam M. • Maths tutor
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What is the amplitude and period of y=3sin(5x)?

Amplitude of a periodic function is the maximum height it reaches above the centre line (or the lowest). This expressed in the equation as '3'. If the 3 was not there, then the sin wave would have an amplitu...
MR
Answered by Madeleine R. • Maths tutor
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How do I factorise and solve 2x^2+4x-6=0?

The 2 in front of the x^2 can cause confusion. In this case, the equation can be divided through by 2, to produce x^2+2x-3=0. From here it can be factorised by working out what adds to make '2' and times to ...
MR
Answered by Madeleine R. • Maths tutor
11317 Views

A curve is defined by the parametric equations x=t^2/2 +1, y=4/t -1. Find the gradient of the curve when t =2.

Firstly we would differentiate each equation with respect to t to find dx/dt and dy/dt- which gives us dx/dt=t and dy/dt=-4t^-2. Once you have found these you must divide dy/dt by dx/dt (or dy/dt x dt/dx) wh...
AV
Answered by Asha V. • Maths tutor
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solve to 2 decimal places; (2x+3/(x-4)) - 2x-8/(2x+1) = 1

the key to this question is to remove all the unknown denominators. to do this first move the negative fraction to the other side of the equation to get 2x+3/(x-4)=1 + 2x-8/(2x+1). then we need to combine th...
DM
Answered by Dan M. • Maths tutor
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