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By Pythagoras' Theorem, we know 5²+12² = c². So c² = 169, thus c = +13 as lengths are positive.

To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality...

We know from our rule of indices that raising a power to a power can be simplified by multiplying so (5³)³ = 5⁹ we also know that when dividing indices we can use the subt...

The easiest way to find the point of intersection between two lines is to use simultaneous equations. Begin by setting y=y or x=x. In this case we will be setting y=y, in order to do this you must manipul...

Start by converting these mixed numbers into top-heavy fractions: 3 and 1/2 becomes 7/2 (3x2=6; 6+1=7)2 and 4/5 becomes 14/5 (2x5=10; 10+4=14)Then use the 'KFC' formula - 'Keep it, flip it, calculate it':...