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This question is asking us to complete the square. To find the value of a we must halve the coefficient of x. So, in this question: a = 4/2 = 2. To find the value of b we...

To factorise this equation we want to get 2 brackets. We are looking for 2 numbers which multiply to make -12 and add to make -1. So, let's see some factors of -12: -12 = (-1) x 12; (-2) x 6; (-3) x 4; (-...

In order to solve these simultaneous equations we first want to eliminate one of the variables (x or y) and find a solution to the variable remaining (y or x) and then use this solution to find the second...

 I will be assessing you in what you have done so far including Algebra that you are struggling with in order to identify your strengths and areas of improvement.

We would first like to find an expression for OG. We know that OG can be expressed as OG = OP + PG. Therefore OG = a + b Knowing the ratio ON:NG is 2 : 3, we can conclude that ON is (2/5)th of OGTherefore...