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Lets start off by calling the width of rectangle 'w'. The length of the rectangle is 5 times the width, or '5w'. The area of a rectangle can be worked out by multiplying the length by the width, i.e. 5w x...

The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This sh...

2x^2+6x-8=0fx^2+3x-4=0(x-1)(x+4)=0x=-4 or x=1

Assume that Tom's age now is x and that his dad's is 3x. Therefore, in 15 years Tom will be x+15 years old and his dad will be 3x+15 years old. Since the sum of their ages will be equal to 102, we can f...

It seems like f(x+2) should translate the graph y=f(x) 2 to the right, it is +2 inside the bracket after all? However, if we think of the translation as actually subbing in x+2 into the equation y=f(x), i...