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Firstly notice that the coordinates of the points where the tangent to the curve is parallel to the x-axis are precisely the points where the rate of change of y with respect to x is not changing. That is...

The island is 2km. If the scale is 1cm:500m we need to multiply both left and right sides by 4 to get to the 4cm that was measured. This gets us 4cm: 2000m . We now need to convert 2000m to km which gives...

Answer: x²+10x+24

Method: A handy way of knowing how to expand brackets involves the pneumonic FOIL: 

- F stands for First, so we multiply the first term in the first bracket by t...

For multiplication: Firstly, write out the sum you are trying to do, for example 3/4 X 1/8 Then, times the top numbers by each other and the bottom numbers by each...

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 

(2x+43) + (4y-5x)=180  -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 

4y-3x=180-43 ...