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x = 0.436363636... (recurring). Prove algebraically that x can be written as 24/55.

We need to multiply x by powers of 10 in order to get the recurring part on its own after the decimal point, and then be able to eliminate it. 10x = 4.363636... and 1000x = 436.363636...So subtracting we get...
JP
Answered by Joanna P. • Maths tutor
29473 Views

solve x^2 - 2 < 2

Change the inequality to an equalsx 2 -2=2solve as normalx 2 -2=2-2x 2 -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller than -2 and 21st draw the graph for ...
AM
Answered by Alicia M. • Maths tutor
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A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.

The equation for the volume of a cylinder is (1/2) pi (r 2 )*H, where r is the radius and H is the height of the cylinder. For the cylinder given, the volume is therefore (1/2) pi ((2x) 2 )*3x, or more simpl...
GF
Answered by Georgie F. • Maths tutor
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Solve the following simultaneous equations: 6a + b = 16; 5a - 2b = 19

There are 2 methods in solving this set of equations, in order to find the 2 unknowns: (a) and (b). Method 1: Firstly rearrange equation 1 to make (b) the subject: b = 16 - 6a. This can then be substituted i...
DC
Answered by Doroti C. • Maths tutor
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Solve the simultaneous equations. (1) 2x + y = 18 (2)x − y = 6

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one equat...
SW
Answered by Samantha W. • Maths tutor
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