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A football pitch has a length of the xm. Its width is 25m shorter than the length. The area of the pitch is 2200m2. Show that x2 - 25x - 2200 =0 and work out the length of the football pitch.

Draw rectangle with length x and width (x - 25)show that area = length * width = x(x -25) = x2 - 25xx2 - 25x = 2200x2 - 25x -2200 = 0This cannot be factorised therefore must use quadratic equation: x = [-...

SO
Answered by Sophie O. Maths tutor
3343 Views

Expand and simplify (x-2)(2x+3)(x+1)

To simply this expression means to write this same expression in its lowest terms. The first step we need to do is expand two of these brackets, we will start with the bracket in the middle and the last ...

SM
Answered by Shayma M. Maths tutor
4183 Views

Expand and simplify 3(m + 4) – 2(4m + 1)

You need to follow the basic rules of expanding brackets i.e. before doing any of the sums inside of the bracket (which would be impossible as you do not know the value of 'm'), you need to perform the ta...

LW
Answered by Lizzie W. Maths tutor
3361 Views

For all values of x, f(x) = (x + 1)^2 and g(x) = 2(x-1). Show that gf(x) = 2x(x + 2).

f(x)=(x+1)^2g(x)=2(x-1)
gf(x)=2([(x+1^2)]-1) =2([(x+1)(x+1)]-1) =2([x^2+2x+1]-1) =2(x^2+2x) =2x(x+2)

QQ
Answered by Quamar Q. Maths tutor
3155 Views

How to solve the simultaneous equations: 3x+5y=19 and 4x+6y=22

First find a shared factor between the x's or the y's. Both 5 and 6 are a factor of 30. So 30/5 is 6 therefore we multiply the whole of equation 1 by 6 to get 18x+30y=114. Then 30/6 =5 so we multiply the ...

RK
Answered by Rachel K. Maths tutor
3204 Views

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