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I notice you answer many maths problems, could you perhaps help me please with a sets question? let S=(a,b,c,d,e,f,g,h,i,j) be the set consisting of the first ten letters of the alphabet. i) How many subsets of S contain at least three letters? ii) How many subsets with at least three letters do...

Also just checking this, if a,b an c are the roots of x^3+4x^2-6x-8=0, to find (1/a)+(1/b)+(1/c). i multiply through to get (ab+ac+bc)/(abc) right? and to find (1/ab)+(1/ac)+(1/bc) I multiply through to get (abc^2+ab^2c+a^2bc)/(a^2.b^2.c^2) right? just checking my methodology

Can anyone at least point me in the right direction plz? with this question: Let S=(a,b,c,d,e,f,g,h,i,j) be the set consisting of the first ten letters of the alphabet i) How many subsets of S contain at least three letters? ii) How many subsets with at least three letters do not contain any...

Please someone help me! :'(

HEY GUYS if you have a small scalene triangle embedded in a larger scalene triangle, like this: http://www.ricksmath.com/images/triangle2.jpg but with a point P on AB connected to a point M on CB, how do you prove PM is parallel to AC? AP:AB=1:2, and CM:CB is 1:2.

Oh with the last one. 16), idk how to expand tan(a+b+c)? and for 7), thats the DISTANCE PA^2+PB^2...etc right?

There is an essay question we had, "What do you think would be the impact on Australia's agricultural industry in the event of a rat infestation?". Then there's a very short maths section, and a slightly longer science section, and multiple choice english. You'll get in man dw ;)

Youve got to jmultiply by (2x-1)^2, not just 2x-1. The result is a cubic, which I cant seem to solve.

Okay found another thing im unsure of, "The point M(x,y) divides the interval joining P(x1,y1) and Q(x2,y2) into the ratio k:l" Ive done a), which says to show by geometry that k/l=(y-y1)/(y2-y), then in part b) it says "Hence show that the equation of the line PQ is (x-x1)(y-y2)=(y-y1)(x-x2)...

Thanks carrotsticks! Okay well there's one more which I forgot to add, "Describe two ways of solving the equation sintheta=tan(theta/2), and solve using one of those ways.

If someone could help with at least one question It'd be great :)

Im stuck on a few questions of my maths assignment, quite a few actually. Please help someone!!??! Q2. Simplify (n-1)C2+nC2 (Its a combination thing). State any restrictions that must be placed on n Q7. Heres how to draw it: Draw a scalene triangle, and label the bottom right angle A, and...

Im stuck on a few questions of my maths assignment, quite a few actually. Please help someone!!??! Q2. Simplify (n-1)C2+nC2 (Its a combination thing). State any restrictions that must be placed on n Q3. (Idk how to go solve the resulting cubic) Solve 15/(2x-1)>or equal to x Q7. Heres how to...