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60-38 = 22 females 32+12=44 students taking the Chemistry and Maths exam. Therefore 60-44=16 students were doing the Physics exam, so 16-8= 8 females were taking the Physics exam. This means that 22-11-8 ...

The lengths of a right angle triangle can be summarised as follows: the sum of the lengths of the two shorter sides squared (the sides which vertice connect forms the right angle) is equal to square of th...

3y² + 10y + 33y² = 3 * 1(3y + n) * (y + r)n * r = 3 hence to try whole numbers first n = 1 or 3 meaning r = 3 or 1 respectivey * n + 3y * r = 10yif n =1 and r = 3 then equivalent is ...

Use implicit differentiation 1) 8x - 3y^2dy/dx - 4y - 4xdy/dx +2^y*ln2 * dy/dx = 0 You then sub in the points P (-2,4) 2) 8(-2) - 3(4)^2 *dy/dx - 4(4) - 4(-2) *dy/dx + 2^(4) *ln2 * dy/dx = 0 Rear...

n > 1, n <4.rearrange equations.use the quadratic formula to solve the second equation. look at the boundaries set and formalise which are the answer.