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The gradient of segment AB is given by the change in x, over the change in y.m = dy/dx = (y2 -y1)/(x2-x1)y2 = 1y1 = 3x2 = -1x1 = -3m = (-1 - 3)/(-1 -(-3)) = -4/2 = -2Gradient is -2.

Draw the rectangle and put on the measurements Draw on the diagonal Find the right angled triangle Pythagoras tells us a²+b²=c² where c is the longest side which is what w...

Stationary points occurs when the gradient of the graph is equal to 0, i.e. dy/dx = 0. Differentiate y with respect to x to get dy/dx = 4x + 4.So making 4x + 4 = 0 gives x = -1. Substituting this into the...

When you differentiate the function that gives the gradient. Therefore differentiate to get dy/dx= 15x^2 + 3. Make this equal to 0 to get 15x^2 + 3=0 and rearrange to get the value of x as required so 15x...

Answer: a(5-3a)Explanation: We take the highest common factor of both of the terms, which is a and we put it outside of the bracket. Then, in the bracket we put two terms that when multiplied by a, the pr...