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If the area of a rectangle with sides 3cm and (4+x)cm is equal to that of a triangle with base of 2xcm and a height of 4cm, find x

First, if the question does not already have one, draw a diagram. Area of a rectangle is base * height and area of a triangle is 1/2 * base * height. As the two areas are the same, you know you can set the t...
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Answered by Alice K. • Maths tutor
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Work out the increase in price from £1.50 to £2.00 as a percentage.

To find the increase in price, you have to find the change in price and then compare that to the original price. The change in price is found by doing new price-old price (£2.00-£1.50=£0.50). You then find i...
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Answered by Alice K. • Maths tutor
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Fully simplify this equation; 3x^3 - x(3x+36) = 0

The first step is to multiply out the bracket 3x 3 - 3x 2 - 36x = 0 Then remove the common factor 3x 3x(x 2 - x - 12) = 0 Then factorise the bracket, by looking for two numbers which multiply to give -12, an...
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Answered by Rachel O. • Maths tutor
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(x + 2)(x + 3)(x + 6)

First: (x + 2)(x + 3) = x 2 + 5x + 6 Second: (x 2 + 5x + 6)(x + 6) = x 3 + 5x 2 + 6x + 6x 2 + 30x + 36 = x 3 + 11x 2 + 36x +36 Answer: = x 3 + 11x 2 + 36x +36
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Answered by Urma C. • Maths tutor
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Expand and simplify 3(x-2) -2(x+2)

Notice that the questions specifies that you should expand and simplify. This means expanding the equations is a good idea. To expand the equation, we will start by expanding each brackets. 3(x-2)-2(x+2) =3x...
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Answered by Phrances P. • Maths tutor
8237 Views