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Sketch the graph of y = 5 - 7x

The key points with graph sketching are to think about the shape of the curve, any turning points, and the intercepts with the y- and x- axes. This curve is linear in x, and is therefore a straight line (obv...
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Answered by Jonah A. • Maths tutor
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Simplify the following algebraic fraction; (3x^2 - x - 2) / ((1/2)x + (1/3)).

First we need to factorise the numerator into two expressions. We can see one expression must start (3x + ?) and the other therefore must hold (x + ?), we know this because the two brackets must multiply tog...
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Answered by Bobbi L. • Maths tutor
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How are arteries adapted to carry blood away from the heart?

Since arteries need to pump blood to the entire body under high pressure, they are very strong with thick muscular walls. Artery walls are also elastic, which allows them to stretch and spring back in order ...
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Answered by Maxwell C. • Biology tutor
8350 Views

Outline and explain the main reasons why Stalin succeeded Lenin as leader of the USSR

The first reason is that Stalin wielded significant power and influence as General Secretary of the Party, having been appointed in 1922. Due to his position as an administrator he was both underestimated, d...
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Answered by Alex C. • History tutor
9091 Views

How do you calculate arc length and sector area and why is it calculated like this? You are given sector angle 40 degrees and radius 7cm and asked to give answers to 3sf.

A sector represents a fraction of a circle. The fraction depends on the angle of the sector, X, and the total angle in a circle which is 360, such that the fraction is x/360. In this case the fraction is 40/...
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Answered by Peter K. • Maths tutor
6553 Views