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Firstly, look at the given area of the rectangle. As this is 20cm², the length and width of the rectangle could be a combination of 20 and 1; 10 and 2 or 5 and 4. Any of thse options could be u...

If the cross section is 30cm², then we need to multiply the cross section by the length of the prism therefore, it should be 30x25, which is 750cm²

Diagrams would be used to help visualise the answer. To find the angle OAC, the cosine rule needs to be used: cosA = (b² + c² - a²)/2bc. Therefore, looking at th...

The first step is to split the fraction into 2 separate fractions using partial fractions techniques. Write 3x+3/2x^2+3x as A/x + B/2x+3 and solve to get A = 1, B = 1. We have now converted 3x+3/2x^2+3x i...

In order to find the points where these functions meet, we can equate them to get 3x-2 = x^2+4x-8 .

Subtraction (3x-2) from both sides, we get x^2+x-6 =0 which we can factorise to get (x+3)(x-2)=0<...