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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...

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...

The expression is of the form ax^2 + bx + c. Here, a = 1 and this makes it easier for us. We can also see that b = 5 and c = 6. In general, we have to find two numbers that multiply to get c and add to ge...

To answer this question you need to group the different terms to form the shortest equation possible. It is easiest to treat the x terms and the y term as seperate, so you have:

2x - x      and    ...