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A linear sequence starts with: a + 2b ; a + 6b ; a + 10b etc. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.

We know that the 2nd term has a value of 8. Thus a + 6b = 8;What is more, we also know that the 5th term has a value of 44. We also know that the next element in the sequence increases by 4b when compared...

Answered by • Maths tutor

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Share £200 in the ratio 2:3

200/(2+3) = 40402 = 80403 = 120£80:£120

Answered by • Maths tutor

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3^2 + 4^2 = x^2. Find x

By Pythagoras’s theorem, a²+b²= c². So x²= 9+16=25 and so by finding the square root of 25, x=5

Answered by Luke M. • Maths tutor

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Find and simplify the point(s) of intersection of the curves: x^2 + y^2 =6 , y = x - 3

Substituting y = x-3 into the first equation and expanding brackets:(x-3)²+x² = 6 <=> 2x² -6x +9 =6 <=> 2x² -6x +3 =0Solving by using the quadratic ...

Answered by Evans R. • Maths tutor

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Simultaneous equations - Find the values of y and x: 3

3x + 5y = 19 and4x - 2y = -18Find the common multiple for 3x and 4x to enable it to be cancelled out. In this case it would be 124(3x + 5y) = 4(19) 3(4x - 2y) = 3(-18) 12x + 20y = 76 12x - 6y = -54 12x + ...

Answered by Zyen U. • Maths tutor

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