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How do you add or take away fractions? E.g: what is 1/3 + 3/4

1/3 + 3/4 First we make the denominator the same. i.e: we would multiple 1/3 by 4 and multiply 3/4 by 3 in order to get the same denominator. 4/12 + 9/12. Now you can add the numerator together as they have ...
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How to find a modulus and argument of w that is a quotient of z1 and z2 such that z1 = 1 + root(3)i and z2 = 1+ i using modulus-argument form?

First of all, transform both z 1 and z 2 into modulus-argument form. To obtain that form, you are going to need a modulus (the length of the hypotenuse on the Argand diagram) and argument (the angle between ...
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Answered by Piotr S. • Maths tutor
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Write (x-2)(x+4)=10 in the form ax^2 + bx + c = 0 and work out the values of a, b and c

We should begin by multiplying out the brackets. Firstly, multiply each term in the first bracket with the first term in the second bracket: x times x equals x 2 and -2 multiplied by x is equal to -2x. Next,...
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Answered by Thomas C. • Maths tutor
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Find the area beneath the curve with equation f(x) = 3x^2 - 2x + 2 when a = 0 and b = 2

This question is an example of integrating to find the area underneath a curve between two points. We begin by intergrating the equation. Firstly, to integrate 3x 2 we increase the indice/power by one unit a...
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Answered by Thomas C. • Maths tutor
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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

3:2 means there are 5 parts. So 18 litres can be divided by 5, and the price of each part worked out individuallly. 18 / 5 = 3.6 To work out how much the white paint costs: 3.6 x £2.80 = £10.08 £10.08 x 3 (a...
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Answered by Sophia H. • Maths tutor
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