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Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

Answered by Emma J. • Maths tutor

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A box initially at rest is on a plank, of length 5m, that is elevated at an angle such that tan(a)=3/4. When it reaches the end of the plank it has velocity 5ms^-1. Calculate the average frictional force on the box.

In physics questions it is useful to not plug numbers in until the end and instead work through algebraically. Let's say the angle of elevation is a, the mass is m, the velocity at the end of the plank is...

Answered by • Physics tutor

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f(x) = sinx. Using differentiation from first principles find the exact value of f' (π/6).

The derivative of the function where x=π/6 is defined asThe limit as h->0 of [sin(h+π/6)-sin(π/6)]/hUsing the double angle formula, sin(h+π/6) = sin(h)cos(π/6) + cos(h)sin(π/6) = √3sin(h)/2 + cos(h)si...

Answered by • Maths tutor

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Describe two problems faced by President Roosevelt from the opposition to the New Deal. [4 marks]

President Roosevelt first faced criticism of the New Deal from the Supreme Court, which ruled that some of the measures of the New Deal were unconstitutional. They argued that the New Deal gave the federa...

Answered by Alfie B. • History tutor

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How do I examine and evaluate the use of melody in set pieces of music?

Melody is one of the main compositional elements which you may be asked to examine when comparing and contrasting different pieces of music. Representing much more than just the main tune of the music, we...

Answered by Lizzie C. • Music tutor

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