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Maths
GCSE

A rectangle has the length of (2x + 5) and the width of (3x - 2). The perimeter of the rectangle is 36cm. Find the length and width of this rectangle.

Perimeter = (2x+5) + (2x+5) + (3x-2) + (3x-2) = 36= 10x + 6 = 3610x = 36 - 6 10x = 30x = 30/10x=3cmLength = (2x + 5)=2 X 3 + 5=6+5Length =11cmWidth = (3x - 2)= 3 X 3 - 2=9 - 2Width = 7cmDouble check: (2x+...

Answered by Jamie M. Maths tutor
3630 Views

Solve the simultaneous equations: 5x + y = 21 and x - 3y = 9

First, we must rearrange these equations to make them easier to work with. There are many ways to do this, but I will rearrange them so they both look like x=_____ so that we can temporarily eliminate x f...

Answered by Maddie P. Maths tutor
3771 Views

How do I factorise a quadratic expression with coefficient greater than 1 i.e. 2x^2 + x - 6.

In order to factorise this, we will use the S.P.F method. S, stands for sum (2nd term) P, stands for product (3rd term)F, stands for factors (two numbers). The goal is to find 2 factors that not only add ...

Answered by Dera U. Maths tutor
3516 Views

Write (9^8)/((9^5)^2) in its simplest form

First expand the denominator 98/(95)2 = 98/910. Then simplify using power laws to give 98/910=9-2. This can be writt...

Answered by Jacques D. Maths tutor
2150 Views

Simplify fully (2a + (b)^0.5)^2

(2a + b0.5) 2First Expand the brackets:(2a + b0.5) x (2a + b0.5) 4a2 + 2ab0.5 + 2ab0.5 + b Simplify the expression by collecti...

Answered by James B. Maths tutor
2687 Views

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