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y is directly proportional to (d+2)^2, when d=5, y=147. d^2 is inversely proportional to x^2, when d=2, x=3. Find an equation for y in terms of x

Though this question initially appears complex, it can be broken down into logical steps that make the answer straightforward to find. The two statements should be approached individually, to give an equatio...
LR
Answered by Lucy R. • Maths tutor
3189 Views

solve x^2 - x - 6 = 0

y = x 2 - x - 6It is first important to realise that we are able to find the values of x when y = 0, that is where the parabola crosses the x axis. We can visually represent this and our solutions to the equ...
HR
Answered by Harry R. • Maths tutor
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The equation of line L1 is y = 3x-2 and the equation of line L2 is 3y-9x+5 = 0. Show that these two lines are parallel.

For two lines to be proven as parallel they must have the same gradient. The second equation needs to therefore be rearranged into y = mx + c format to see if this is the case.3y-9x+5 = 0 (subtract the 5)3y ...
FH
Answered by Frankie H. • Maths tutor
3559 Views

Solve the simultaneous equations, (1) 4x+y=23 and (2) 3x+5y=111/2

Simultaneous equations are equations that have one or more unknown values. There are a multitude of ways to solve simultaneous equations, however the elimination method is the most common at GCSE level maths...
AP
Answered by Allegra P. • Maths tutor
3344 Views

Solve the simultaneous equations 2x + y = 8 and 3x + 2y = 14

We want to make the number in front of either x or y the same in both equationsSo we multiply the first equation by 2(2x x 2) + (y x 2) = (8 x 2)4x + 2y = 16We then subtract the second equation from our new ...
RM
Answered by Roshene M. • Maths tutor
5279 Views