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Expand and simplify: (10-x)/2 = 2x - 6

This is a typical example of a 3 mark question on a GCSE higher paper. The first mark would be awarded for multiplying both sides of the equation by 2, and then expanding the brackets:10 - x =2(2x-6)10 - ...

Answered by Amy G. • Maths tutor

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Given a graph of y = f(x) how do you sketch a graph of y = f(x)+4, y = f(x-5), y = -f(x+4) or any other similar transformations

For y = f(x)+4: the graph undergoes a translation of (0,4) For y = f(x-5): the graph undergoes a translation of (5,0) For y = -f(x+4): the graph is reflected w.r.t the x-axis and translated by (-4,0)*imag...

Answered by Jack E. • Maths tutor

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Question: Factorise the expressions: 1. X^2 - 9 2. 2X^2 - 14X + 24

The ways to complete the first one is to realise that it involves a difference of two squares. If you were to see (X^2) with a constant (number), you know they have no factor in common, meaning the two te...

Answered by Yahya M. • Maths tutor

2777 Views

Differentiate this equation: xy^2 = sin(3x) + y/x

y² + 2xy dy/dx = 3cos(3x) + 1/y - x/y² dy/dx thereforedy/dx = (3cos(3x) + 1/y - y²) / (2xy + x/y²)

Answered by Alexander E. • Maths tutor

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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle

Perimeter= 72Ratios are 3:4:5In total, you can think of there being 3+4+5=12 "portions".This means that in the perimeter includes 12 portions. 72/12=6 so each portion is worth 6cm.
Now we c...

Answered by Natasha A. • Maths tutor

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