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Degree: Chemical Engineering (Masters) - Edinburgh University
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firstly the largest power is x^2 so when factorising we know that both brackets must involve an x plus or minus a number.
next we look at the 21 and we need two numbers that multiply together to get this number, the two sets of numbers that multiply to get this is 1 and 21 and 3 and 7.
then we take these two sets of numbers and we look at the 10x this means the numbers must add/subtract to give ten, this means the answer must use the 3 and 7 as they add to give 10
therefore our answer is (x+3)(x+7)see more
firstly we know how fast the wave is travelling and we know for how long so using our speed equals distance over time equation we can rearange for distance (D= VT).
we can the plug in our speed(V) and our time (T) to get distance = 1600 x 0.8 this gives use a distance of 1280 m.
however we have to rememeber that the wave had to go down to the sea floor then back up to the boat so it has travelled two times the depth of the sea.
therefore the depth of the sea is 1280 / 2 = 640msee more