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Write (√(18)+10)/√(2) in the form: p + q√2 [4 marks]

First, simplify √18 by writing it as √(9x2) = √9 x √2 = 3√2. Then, rationalise the denominator by multiplying both top and bottom of the fraction by √2. This gives √2 x √2 = 2 in the denominator, and (3√2+10...
AC
Answered by Abby C. • Maths tutor
21796 Views

How do I know what quotations to learn and how do I learn them?

For the first part of this question it is important to think about key themes and characters and group your quotations accordingly. Don't try to learn whole passages. More often than not the shorter, memorab...
EK
Answered by Elizabeth K. • English tutor
3297 Views

Can you suggest any useful resources for listening and/or reading practice?

Obviously past papers are key for practice at GCSE. Even old style practice papers are still useful. However it is not enough to just get answers wrong and move on. It is more useful to look up all the vocab...
EK
Answered by Elizabeth K. • French tutor
3534 Views

Prove that tan^2(x)=1/(cos^2(x))-1

tan^2(x)=1/(cos^2(x))-1 Left hand side of the equation (LHS)=tan^2(x) Use the identity tan(x)=sin(x)/cos(x) and substitute it into the LHS LHS=sin^2(x)/cos^2(x) Use the identity sin^2(x)+cos^2(x)=1 and rearr...
PA
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f(x) = 4x^2 + 8x - 5 ; complete the square to find the turning point of f(x).

4x^2 + 8x - 5 = 0 4(x^2 + 2x - (5/4)) = 0 4((x + 1)^2 - 1^2 - (5/4)) = 0 4((x + 1)^2 - (9/4)) = 0 4(x + 1)^2 - 9 = 0 4(x + 1)^2 - 9 = 0 Turning point is at (-1, -9)
CK
Answered by Charlotte K. • Maths tutor
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