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First we need to know how many days are still remaining before the end of January. In this case it would be 10 since 31-21=10. We know that 8th of February  is the 8th day of the month, so in total betwee...

1. Draw sketch of line 2. Find gradient using m=(y₂ - y₁)/(x₂ - x₁)= 5--4/2--1=9-3=3 3. Choose one of the points and call it (a,b). I'll pick (2,5) because t...

To start, we use the inverse trigonometric formulae to convert the 'cot' function into a 'tan' function: cot(2x)=1/(tan(2x))=3 Inverting this gives: tan(2x)=1/3 2x=arctan(1/3)=18.43°or (180+18.43)° Therfo...

Expanding and simplifying the right hand side: x²=4(x-3)(x-3)=4(x²-6x+9)=4x²-24x+36 Deducting 'x²' from both sides: 0=3x²-24x+36 Dividing by 3 and fa...

x^2+12x-45

x^2+15x-3x-45 (15x - 3x= 12x and 15 x -3=-45)

x(x+15)-3(x+15)

(x-3)(x+15)