Search over 10,000 free study notes

So first we need to write down the proportionality relationship the question states. If we let n be the number of balls and r be the radius of the balls we can say n (proportional symbol) 1/r³....

We must first use trigonometric identities to simplify cos²(x). We can use the formula cos(A+B) = cos(A)cos(B) - sin(A)sin(B) , where A=x and B=x, so that we ...

First we find the y coordinate which is a function of x:

x = 2+ h so  y = (2 - 2 - h)(1 + 2 + h) + 3 = -h² - 3h + 3

Now for the gradient, the line passes through points (2,3) and ...

4x - 6 < 2x + 5 is an inequality. It means "4x - 6 is smaller than 2x + 5". An inequality can be solved just like an equation: whatever you do to one side, you also do to the other. Firstly, ...

The hypotenuse is the easiest to spot - it's always the longest side, and it's across from the right angle in the triangle. This leaves two others: the adjacent side is the side that is next to the acute ...