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Find the equation of the straight line passing through the points (7,5) and (8, 2)

To find the equation of a straight line we need two things, the gradient of the line and a point lying on the line. To find the gradient of this line we use the gradient formula: m = (y₂-y

Answered by Rory S. • Maths tutor

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Solve the equation: x^2 - 9x + 20 = 0

This is a quadratic equation, and is likely that x can satisfy either of two values. We know these must multiply to form 20 and summate to -9, and thus they are (x-4) and (x-5). Hence, x is either 4 or 5....

Answered by Pippa M. • Maths tutor

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Expand and Simplify: 16=(x-3)(x+3)

16 = (x-3)(x+3) --> 16 = x^2+3x-3x-9 --> 16 = x^2-9 --> x^2=25 --> x = +5 or -5

Answered by Thaarabi T. • Maths tutor

3918 Views

Prove algebraically that (4n + 1)² − (2n − 1) is an even number for all positive integer values of n.

First of all expand the brackets and simplify the expression given:(4n+1)(4n+1)-(2n-1)= 8n²+8n+1-2n+1= 8n²+6n+2= 2(4n²+3n+1). Since the expression can be factorised with 2...

Answered by Shiv M. • Maths tutor

9991 Views

How to recognise and make the link between probability and the algebraic demands of this question?

While I doubt students will ask this exact question, think it provides the basis for what are usually the most difficult questions in GCSE papers, and students would usually be unsure where to start. My i...

Answered by Neeraj K. • Maths tutor

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