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First label the triangle to show the opposite, adjacent and hypotenuse. Then you can use SOHCAHTOA to determine which trig function is needed. If you need to work out the opposite you use the sin function...

dA/dx = 4x -18 : multiply the number before the x (coefficient) by the power and minus 1 from the power.4x = 18 so x = 4.5 to find the minimum or maximum point, make the differential equal to 0 and solve ...

The expression can be rearranged to equal 0 by taking the 125 to the other side. To do this the opposite thing has to be done, so 125 must be subtracted to get x^3+20x^2-125=0 . All parts in this function...

everything in the first bracket should be multiplied by everything in the second individually. Then you should combine common factors to find the final answer.Starting with the first part of the 1st brack...

We first notice it's a quadratic equation in x so we want to make one side of the equation equal to 0.By adding 15 to both sides we get : x² + 8x + 15 = 0We then look for two numbers which mul...