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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
3202 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
2985 Views

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
3571 Views

Solve for x when x2+16x+28=0

(x+14)(x+2)=0 x=-14, x=-2
HR
Answered by Harikalan R. • Maths tutor
2780 Views

Integrate (3x^2+2x^-1) with respect to x in the range of K to 3 and explain why K cannot be 0

Integrated: [x^3+2ln(x)] Sub in 3 and K: [3^3+2ln(3)-k^3-2ln(k)]Simplify: 27-K+2ln(3/K)—> K cannot = 0 otherwise ln(3/k) would have an undefined value, as would ln(k)
DH
Answered by Daniel H. • Maths tutor
3141 Views