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Expand and Simplify: 6(2x+3) -x(3+(1/x))

Start by expanding the brackets: (Take special care to remember the minus sign when expanding the second bracket as this is a common mistake)= 6 2x + 6 3 - 3 x - x (1/x)Simplify further:= 12x + 18 - 3x - 1=9...
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Answered by Orlando B. • Maths tutor
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A right-angled triangle has two smaller sides of length 5cm and 12cm. What is the length of the hypotenuse?

By Pythagoras' Theorem, we know 5 2 +12 2 = c 2 . So c 2 = 169, thus c = +13 as lengths are positive.
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Answered by Niall C. • Maths tutor
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n is an integer such that 4n+6≤18 and 5n/(n^2+4)>1. Identify the range of possible values of n.

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...
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Answered by Hakeem S. • Maths tutor
6971 Views

What is the value of 5^15 / (5^3)^3

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...
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Answered by Benjamin G. • Maths tutor
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Find the point of intersection between the lines 2y=-4x+4 and 3y=10x-3

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...
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Answered by Scott S. • Maths tutor
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