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First, you must remember what the midpoint formula is for a line with two points.

M= ((x_1​+x_2​)/2 ​,(y₁​+y_2​​)/2)

Then apply it to this question.<...

The first step would be to consider each of the powers individually, work out their value and then proceed with the subtraction to end up with a result. Firstly, as this question is to be done without a c...

Factorise means we want to turn x²-8x+15=0 into the form (x+a)(x+b)=0. We need to find the two whole numbers 'a' and 'b' which equal -8 (from the -8x part) when added together,...

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. We can work this out for the sequence 11, 17, 23, 29. ...

We work from right to left (x + a)² = x² + 2ax + a² 2a = 8 [coefficients of x must match] a = 4 (x + 4)² = x² + 8x + 16 [substitute in a = 4] x^2...