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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
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Discuss the varying patterns of migration into the UK since the end of the second world war.

There are different components to this question: Migration into the UK continues to change on a consistent basis. In the past, following the end of the war this saw an influx of families on a large scale fro...
AP
Answered by Akul P. • Geography tutor
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During take-off from earth, an astronaut of mass 76kg has an area of contact with his seat of 0.095m^2. Calculate the average pressure on the seat when the upward acceleration of the rocket is 47ms^-2

There are two parts to this question that we should consider seperately: Firstly, we need to work out the total thrust force that is being applied through the seat onto the astronaut. Critically, this is the...
ON
Answered by Oliver N. • Physics tutor
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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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How should I go about writing a question on ... (e.g. The Great Gatsby)

The first stage is to decide on 3/4 major points that you will be writing about. These points can each be focusing on a character or a different theme, as long as each point is unique and adds to the overall...
CF
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