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What is Pythagoras' Theorem and how do I use it?

Pythagoras' Theorem is used to find the length of the hypotenuse (longest side, opposite the 90 degree angle) of a right angled triangle when the length of the other 2 sides are known.The equation is a 2 +b ...
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Answered by Sophie T. • Maths tutor
3619 Views

Solve the Inequality X^2 - 2X - 8 < 0

First we need to solve the Inequality, looking at what two numbers add to give -2 and multiply to give -8 we find these to be -4 and +2. So we can now say that (X-4)(X+2)&lt;0. Then I like to draw a quick di...
LC
Answered by Liam C. • Maths tutor
7398 Views

Solve the following pair of simultaneous equations: 2x - y = 7 and 4x + y = 23

2x - y = 74x + y = 23In this pair of simultaneous equations, we have two unknowns. We can solve them simultaneously using substitution or elimination, but I will go through the elimination method. I wish to ...
LR
Answered by Lauren R. • Maths tutor
5986 Views

AQA, foundation 2016: Lee does a sponsored silence for 2.25 hrs. He is sponsored 80p per minute. How much does he raise?

80p every minute.So how much in 15 mins?How much in an hour?What operation do we use?Easy way to do mental maths - break it up!2.25hrs = 1hr + 1hr + 15 mins80p 60 + 80p 60 + 80p*15?= 4800p + 4800p + 1200p= 1...
GA
Answered by Garima A. • Maths tutor
3127 Views

OCR, 2016, Higher Maths: Rationalise the denominator 1/(1+sqrt(3))

First make sure they know are clear on what a rational number isAsk them to try multiplying 1 + sqrt(3) by different values to see how to make it a rational numberE.g. they might try (1+sqrt(3)) 2 ---&gt; se...
GA
Answered by Garima A. • Maths tutor
3525 Views