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Maths
GCSE

PQRS is a parallelogram with P->Q=a and P->S=b. Find S->Q in terms of a and b. N is a point between S and Q, where SN:NQ is 3:2, find N->R

Vectors are special in that they have a direction as well as magnitude (size).

To get from S->Q you can go from S->P = -b and then P->Q =a so S->Q = -b + a = a

Answered by Kristian B. Maths tutor
4576 Views

How can I draw a 30 degree angle without a protractor?

In the exam you will have a ruler and a pair of compasses, which you can use to construct a 60 degree angle by drawing two arcs. You can then draw two more arcs to bisect that 60 degree angle and make a 3...

Answered by Zoe C. Maths tutor
17429 Views

i) Make y the subject of the expression x = ((a-y)/b))^1/2 ii) Simplify fully (2x^2 − 8)/(4x^2 − 8x)

i) Square both sides of the expression to make x^2=(a-y)/b 

Multiply by b to remove the fraction from the equation and then rearrange to make y the subject.

bx^2=a-y --> y=a-bx^2

i...

Answered by Oscar S. Maths tutor
3863 Views

A semicircle has a diameter of 8cm, what it the area?

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