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Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (4) ...
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Answered by Sophie S. • Maths tutor
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How do I show two lines are skew?

Skew lines in 3 dimensions are those which are not parallel and do not intersect. Let's take two example lines: l 1 = (2, 2, -1) + λ(3, 1, -3) and l 2 = (1, 0, 1) + µ(6, -4, 9) First we need to show that the...
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Answered by David M. • Maths tutor
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Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x 2 +3x +2=0 = (x+2)(x+1)=0This means we need either x+2 or x+1...
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Answered by Sophie S. • Maths tutor
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What is the difference between A.C. and D.C.?

A.C. stands for alternating current, and the current constantly changes direction. D.C. stands for direct current, and the current only flows in one direction.
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Answered by Sophie S. • Physics tutor
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What is the momentum of a 84 kg man running at 5 m/s?

Use the equation p= m x v , where p=momentum m=mass (kg) and v=velocity (m/s)p= 84x5 = 420 kg m/s
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Answered by Sophie S. • Physics tutor
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