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Which of these lines are parallel to y=2x+3? Which are perpendicular? Options: 1) y=5x-4, 2) y=-1/3x+3, 3) y=-1/2x-1, 4) y=2x-2/3

There are two ways of doing this question, one would be to sketch the graphs and see which are parallel to and which are perpendicular to the original line. Whilst this is valid, sketching lines isn’t always...
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Answered by Peter T. • Maths tutor
5518 Views

How do I differentiate an algebraic expression? (e.g. y=3x^4 - 8x^3 - 3) [the ^ represents x being raised to a power]

y=3x 4 -8x 3 -3 Let's say we want to calculate dy/dx. For a term A x n , the differential with respect to x is An x n-1 . For a constant value, we can say that n=0 because x 0 =1. This means that when you di...
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Answered by Patrick C. • Maths tutor
3940 Views

Work out the nth term of the sequence 3, 7, 11, 15, ...

This is an example of an arithmetic series because each term is +4 from the previous term.This means for the "nth term" we start with +4n.Now we take a specific term from the sequence e.g. 3 (1st t...
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Answered by Alice L. • Maths tutor
5491 Views

How do I expand double brackets? E.g. (4x+7)(3x+5)

In order to expand the brackets, we need to ensure that EVERYTHING in the left bracket is multiplied by EVERYTHING in the right bracket. There are 3 methods for helping us to times out the brackets. These ar...
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Answered by Shona A. • Maths tutor
6853 Views

Solve algebraically: 6a+3b=24, 3a-b=7

Equation 1 : 6a+3b=24Equation 2: 3a-b=7 Rearrange equation 2 to make b the subject:add b to both sides : 3a=7+bminus 7 from both sides: 3a-7=b Substitute this into Equation 1 : 6a + 3(3a-7)=24 Multiply out t...
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Answered by Emily G. • Maths tutor
6009 Views