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There are two possible outcomes in which all beads are the same colour: they may be all green, or all black. We need to work out the probability of each outcome to start with. This is done by multiplying ...

The equation of a straight line is usually given in the form y = mx + c. To prove that two lines are parallel we will need to show that both lines have the same gradient. The gradient of a line is the slo...

In order to do that, and this only works for right angled triangles, is using the sine, cosine, and tangent rules. An easy way to remember this is by using the acronym SOH, CAH, TOA that my teacher taught...

The question is asking us to find the value of x. First, we need to multiply the brackets out. To do this, multiply everything in the bracket by 4 so 43x=12x and 4-2=-8 this gives the equation 12...

Firstly you need to understand the question. It asks for the equation of a straight line, which is linear, thus of the form y = mx+c. Now, knowing that the equation is of that form we firstly need to find...