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What is the simplest form of the fraction (8a^2+10ab)/(12a+15b)?

These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cancelle...
SK
Answered by Samradnyee K. • Maths tutor
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What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

To answer this question, we must use our knowledge of integration and differentiation. First, we look at the information given to us. We have been told that the gradient of the curve is given by dy/dx=(4x-5)...
SK
Answered by Samradnyee K. • Maths tutor
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Solve the following simultaneous equations to find the values of x and y: 3y - 7x = 15 & 2y = 4x + 12

Equation one: 3y - 7x = 15 - Double it and re arrange 3y - 7x = 15 goes to 3y = 7x + 15 goes to 6y = 14x + 30 we name this equation 3 Equation two: 2y = 4x +12 - Triple it. so..6y = 12x + 36 we name this equ...
IP
Answered by Imogen P. • Maths tutor
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A line has equation y = 2x + c and a curve has equation y = 8 − 2x − x^2, if c=11 find area between the curves

Extracted from Cambridge International Examinations / MATHEMATICS 9709/11 Paper 1 Pure Mathematics 1 (7 points out of 10 for this question) A line has equation y = 2x + c and a curve has equation y = 8 − 2x ...
LA
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How can I differentiate x^2+2y=y^2+4 with respect to x?

To differentiate this kind of expression you would need to use implicit differentiation. Although it may sound new, you already have all the skills you need to be able to do it. We will differentiate both si...
MS
Answered by Margarita S. • Maths tutor
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