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The equation of line A is y = 6x -4. The equation of line B is 2y - 12x + 14 = 0. Are these two lines parallel?

Line A has a gradient of 6, because it is in the form y = mx + c, where m=6. Line B can be rearranged to y= 6x - 7, so the gradient is also 6. The gradient of both lines is the same, so they are parallel.
ML
Answered by Matthew L. • Maths tutor
3794 Views

Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4

1st step: find the derivative dy/dx of the given equation2nd step: now equate the obtained derivative to 0 because this is precisely the situation in which the graph changes direction (the derivative dy/dx e...
UW
Answered by Urszula W. • Maths tutor
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Express x^2 +10x -3 in the form (x + p)^2 + q

x 2 +10x-3=(x+5) 2 -25-3= (x+5) 2 -28
CT
Answered by Carmen T. • Maths tutor
7141 Views

3/5 of a number is 162. Work out the number.

If we call the unknown number 'x' we can put it in to an equation to work it out as we known 5/3 of the number is 162.5x/3 = 162then times each side of the equals symbol by 5 to get (3x/5) 5 = 162 35which is...
LM
Answered by Lucy M. • Maths tutor
14253 Views

How can I recognise when to use a particular method for finding an integral?

Often the question will ask you to use a particular method to integrate something, but sometimes they will not and you will have to recognise for yourself the best way to do it. There is often more than one ...
LC
Answered by Lloyd C. • Maths tutor
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