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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 ca...

AK
Answered by Alice K. Maths tutor
4224 Views

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 fin...

AK
Answered by Alice K. Maths tutor
4031 Views

Fully simplify this equation; 3x^3 - x(3x+36) = 0

The first step is to multiply out the bracket

3x3 - 3x- 36x = 0

Then remove the common factor 3x

3x(x2 - x - 12) = 0

Then factorise the brack...

RO
Answered by Rachel O. Maths tutor
3146 Views

Solve: 7x - 20 = 3x + 4

7x = 3x + 24 4x = 24 x = 24/4 x = 6

AG
Answered by Alex G. Maths tutor
2560 Views

Find the integral between 1 and -2 for (4-x^2-3x^3)

= [4x - 1/3x3 - 3/4x4]1-2 = (4(1) - 1/3(1)3 - 3/4(1)4) - (4(-2) - 1/3(-2)3 - 3/4(-2)4) =(2 11/12) - (-8 + 8/3 - 12) ...

AG
Answered by Alex G. Maths tutor
3166 Views

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