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The first thing we notice is that there is a common factor of x. Thus we can factor it out and get:x(x^2 - 10x + 16)
This becomes much easier to deal with. We now focus on the equation in the bracket...

Split up the two terms: cos30° = (1/2)√3 and tan60° = √3 (from memorised values of cos and tan)Therefore 16cos30° = 8√3 and 5tan60° = 5√3 8√3 - 5√3 = 3√3 = √9 x √3 = √27x=27

we know that distance = speed x time, so we should multiply the time (in seconds) by the speed that Bob runs. So Bob runs a distance of 5 x (30x60) = 5x1800 = 9000m (or 9km)

First of all, look at what has happened to the y co ordinates, they have all been moved up by 2 units. Now consider the x co ordinates, they have been shifted to the right by 1 unit. So the vector is 1 2<...

5x + y = 21x - 3y = 9First, find the lowest common multiple for x or y and make the equations equal for either x or y.Here, we multiply the second equation by 5 to make the amount of x the same. The equat...