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The equation of line L is y = 3x - 2 and the equation of line Q is 3y - 9x + 5 = 0, show these two lines are parallel

The basic equation of a line is I=the general form y = mx + c. Where c is a constant and m is the gradient of the lineFor lines to be parallel they must have the same gradient, then they will never crossThe ...
HH
Answered by Harry H. • Maths tutor
3577 Views

The sum of the first n terms of an arithmetic sequence is Sn=3n^2 - 2n. How can you find the formula for the nth term un in terms of n?

Having learned a lot about the arithmetic and geometric sequences, most people are used to expressing the n th term of a sequence un in the form u n =u 1 +d(n-1) for the arithmetic sequence and u n =u 1 *r n...
JP
Answered by Julianna P. • Maths tutor
16836 Views

Work out the equation of the tangent at x = 3, knowing that f(x) =x^2

Currently, we know that:f(x) = x 2 To find the equation of the tangent you need the gradient and the y-value of the graph at x = 3So, you can differentiate f(x):f'(x) = 2xlet x = 3: f(x) = 9 f'(x) = 6the equ...
AA
Answered by Arnav A. • Maths tutor
3418 Views

How do you rearrange x = (2y+1)/(3y+4) to get y in terms of x?

We first multiply both sides of the equation by (3y+4) to get x(3y+4)=2y+1. We then expand the left hand side to get 3xy+4x=2y+1. By rearranging the equation we get 3xy-2y=1-4x. We then factorise the left ha...
ER
Answered by Ewan R. • Maths tutor
4951 Views

Factorise x^2 - 8x + 12

First we need to draw our two brackets where the terms will go, we set them out like so ( )( ). Now looking at the coefficient of the x squared term, we se that it is one, therefore, it is formed by a multip...
LS
Answered by Luke S. • Maths tutor
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