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By Pythagoras' Theorem, we know 5 2 +12 2 = c 2 . So c 2 = 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, w...

We know from our rule of indices that raising a power to a power can be simplified by multiplying so (5 3 ) 3 = 5 9 we also know that when dividing indices we can use the subtraction rule. This mean 5 15 - 5...

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 manipulate...

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': So...