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Since there is an x^2 term, we know that there are two brackets that are of the form (x-) (x-), but we need to fill in the blanks! What are the two numbers where you can add them up to make 3, an...

The longest straight line within the cuboid is the diagonal from a corner to the corner diagonally from it (show diagram), call this D. So to find out whether the pole will fit, find this length, if it is...

f(x) = cx + d f(0) = c0 + d = d = -6 => d = -6 f(2) = c2 + d = c2 + -6 = 10 => c2 - 6 = 10 => c = (10 + 6) / 2 => c = 8

Think about which mathematical theorem you might want to use for this question (Pythagoras: a² + b² = c² )

Draw a diagram of the situation described, and write down...

First, multiply by the denominators making sure to multiply on both sides of the equation and the other fraction. You should start this by multiplying through by one of the denominators and then by the ot...