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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...

Light from the sun is white. As it passes through the Earth's atmosphere, the different wavelengths of white light (i.e. the visible spectrum of colours) are scattered by gas and dust particles. Colours w...

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...