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Solve algebraically the simultaneous equations: 6m + n = 16 and 5m - 2n = 19

The first step of solving simultaneous equations with two unknown variables (m & n in this case) is to rearrange one of the equations so that we get one variable in terms of the other. Lets take the firs...
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Answered by Harry D. • Maths tutor
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Given that y= x^(-3/2) + (1/2)x^4 + 2, Find: (a) the integral of y (b) the second differential of y

This is a typical question for a Core 1 paper. (a) integral of y = (-2)x^(-1/2) + 0.1x^5 + 2x +C Method: Increase the power of x by +1, divide the term through by the new power. (b) dy/dx = (-3/2)x^(-5/2) + ...
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How do I expand 2 sets of brackets to make a quadratic?

The FOIL method should be used to expand 2 sets of brackets. FOIL stands for: FIRST, OUTSIDE, INSIDE, LAST. Here is the foil method used without numbers; this creates a general formula. Expanding (x+a)(x+b)....
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Answered by Sarah L. • Maths tutor
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Multiply 1/4 by 1/8

1/32
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Answered by Teresa T. • Maths tutor
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How do I work out the measurement of an angle in a right-angle triangle?

When solving an angle for a right-angled triangle you need to use the acronym SOH CAH TOA, using the functions sin(x), cos(x) and tan(x). The other letters O, H and A represent the side of the triangle, stan...
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Answered by Zoe S. • Maths tutor
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