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Firstly, a quick overview of rationalising the denominator. For this, we want to make sure that the bottom half of the fraction (the denominator) is rationalised (and so doesn't contain any surds any more...

I live in a village. We have a small house. I like living there, because it is really quiet. We used to live in a city but it was quite noisy. My father works as a doctor at the city hospital.

Multiply both sides by 5: 5x = 3r - 4Add 4 to both sides: 5x + 4 = 3rDivide both sides by 3: (5x + 4)/3 = r

Let radius of cylinder be r. Let height of cylinder be h. We know that the volumes of the hemisphere and cylinder are equal:2(pi)r³/3 = h(pi)r².Multiplying both sides by 3 and dividi...

8 marks can be achieved through two well-developed, equal paragraphs, each earning 4 marks.The first step is a direct answer: at the beginning of each paragraph the student should give a 'first-sentence a...