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Prove that the square of an odd number is always 1 more than a multiple of 4

This is a nice little question off the 2018 Edexcel Higher Maths paper! When we heard the word 'prove' in a question at this level, automatically we should be thinking about using algebra to help us out! ...

TR
Answered by Thomas R. • Maths tutor
3721 Views

Translate the following sentence: My friends and I like to help old people when we can. We have no time now because we get a lot of homework.

Things that they are testing here: 'to help' = helfen + DATIVE; 'because' = weil (sends main verb to the END); general adjectival endings and plurals ANSWER(S): Meine Freunde und ich helfen gern <...

ZG
Answered by Zac G. • German tutor
2020 Views

Solve the simultaneous equations: 3x-y=1, x^2+y^2=5

x=1, y=2
x=-2/5, y=-11/5

CW
Answered by Chloe W. • Maths tutor
4244 Views

How have ideas about atomic structure changed through history?

The Greeks were the first to think of atoms, Democritus defined an atom as the smallest indivisible piece of matter using the idea that if you continue to cut a material in half, you must eventually reach...

SW
Answered by Scott W. • Chemistry tutor
3670 Views

Work out the value of the following:

  1. 361/2
    = 6(The square root of 36 is 6)
    2) 230
    = 1(Anything to the power of 0 is 1)
    3) 27-2/3
    = 3-2 = 1/32= 1/9
    2. ...
HA
Answered by Hafsah A. • Maths tutor
3218 Views

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