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Maths
GCSE

x^2+2=18, find the value of x.

This is a basic rearranging of the equation that easily catches students out and will generally be offered 3 marks. The first thing to do is take the 2 on the other side of the equation so we get x^2=16. ...

Answered by Ishaan P. Maths tutor
2276 Views

3/5 of a number is 162. What is that number?

I would set up an equation where x is the number in question, like so:(3/5)x = 162I would then multiply both sides by 5 which would result in:3x = 1625 = 810Then, I would divide both sides by 3 t...

Answered by Luc B. Maths tutor
2994 Views

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 equa...

Answered by Lucy R. Maths tutor
2095 Views

solve x^2 - x - 6 = 0

y = x2 - 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 solutio...

Answered by Harry R. Maths tutor
2046 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)...

Answered by Frankie H. Maths tutor
2663 Views

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