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A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1) Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-3x^2+2x+...
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Answered by Thomas F. • Maths tutor
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How do you factorise a quadratic equation

Factorising a quadratic can seem daunting at first but when broken down if to multiple steps it can be much more manageable. These steps will work for all basic quadratics so if you stick to the formula you ...
JP
Answered by Jake P. • Maths tutor
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Expand and simplify (x − 4)(2x + 3y)^2

following BIDMAS we start with the second expression by squaring it, i.e. (x-4)(2x + 3y)(2x + 3y). It is important we do it in the right order, otherwise we could get a wrong answer. We use the FOIL (First O...
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Answered by Elsie A. • Maths tutor
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solve 2^(3x+1)=16

The first step is to make sure that everything has the same base, so you can equate the powers. For example if you have an equation 2 2 = 2 x you know that x must equal 2. So with this question you can rewri...
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Answered by Jessica P. • Maths tutor
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L is a line parallel to 4x-2y=8. Find the equation of the line if L passes through (4,(38/3))

Since L is parallel to 4x-2y=8, it means that both lines have the same gradient. (Reminder: in y=mx+c, m is the gradient)4x-2y=8, therefore 2y=4x-8, and dividing both sides by 2 results to y=2x-4. Therefore,...
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Answered by Demetris I. • Maths tutor
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