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Find the opposite length of the triangle with hypotenuse length 5 and adjacent length 4.

I would start off by asking them if they know the Pythagoras theorem. If they don't, I would refresh their memory and explain that its a 2 +b 2 =c 2 where c is the hypotenuse (longest length). I would then a...
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Answered by Fatema D. • Maths tutor
3458 Views

solve for x: (x-2)(x+3)=2(2x+11)

expand the brackets to get x 2 -2x+3x-6=4x+22 bring all the terms to one side x 2 -2x+3x-6-4x-22=0 (remember:if you do something to one side, do the same thing to the other! e.g. -4x on both side) gather all...
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Answered by Jack R. • Maths tutor
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Solve the inequality. x^2 + 2x -15 > 0

To solve the inequality, it must first be factorised. This could be done by the ‘complete the square’ method. However in this example it is more efficient to find a pair of numbers that multiply to give the ...
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Answered by Elizabeth F. • Maths tutor
13417 Views

From June 2015 Edexcel paper: Solve 7x + 8 = 2x – 3

Whenever you have a question asking you to solve an algebraic equation with only one unknown (x) you must put all 'x' terms on one side of the equation and all non-'x' terms on the other: 1. Take 2x away fro...
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Answered by John J. • Maths tutor
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The line L1 has an equation y=2x-2. What is the equation of the line L2 which is parallel to L1 and passes through the point (0,3)?

The first thing to immediately recall is that parallel lines have the same gradient. in the equation of a line (which is expressed in the y=mx+c format), the gradient (m) is the coefficient of x. Note: if th...
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Answered by Hafsah B. • Maths tutor
8459 Views