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A circle has eqn x^2 + y^2 + 2x - 6y - 40 = 0. Rewrite in the form (x-a)^2 + (y-b)^2 = d.

The first step will be to rearrange the eqn so that the loose number appears on the RHS and the x and y terms are grouped. After this step the eqn will appear as x 2 + 2x + y 2 - 6y = 40. The next step will ...
RH
Answered by Rachel H. • Maths tutor
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Explain how a very high temperature can stop an enzyme from working.

A very high temperature makes the enzyme’s molecules vibrate more. This vibration breaks some of the hydrogen and/ or ionic bonds that hold the enzyme in shape. The active site changes shape and the enzyme a...
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Answered by Veronica G. • Biology tutor
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Explain how a utilitarian might approach the issue of eating animals.

A utilitarian would approach the ethics of eating animals by determining what the effects of eating animals would be. The best conclusion would be the one that maximises utility; the best effects for every s...
Answered by • Philosophy tutor
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Explain the different between act and rule utilitarianism and offer one issue with these approaches.

Both act and rule utilitarianism are founded on the principle that to do good is to maximise the greatest utility. However, there are different ways of putting this principle into practice in normal life. Co...
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Answered by Rivkah H. • Philosophy tutor
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Outline 2 key controls on climate in the tropics

The first key control on the tropics are air masses. Air masses are a large body of air in which the horizontal gradients of their main physical properties vary only slightly. They are are high pressure bodi...
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Answered by Grace C. • Geography tutor
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