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Firstly, we need to think of the equation of a line formula to figure out what information we have been given. y-y1 = m(x-x1) -> (x1, y1)This formula uses a point and a slope. We have been given a poin...

Δ = b² - 4ac = q² - 4p (-4p) = q² + 16p²p different than 0 => 16p² greater than 0 onlyq² greater or equal to 0q² + ...

Let the cost of a pen = xLet the cost of a ruler = x+8Thus, (x*33) + ((x+8)*21) = £6 = 600 penceHence, 33x + 21x + 168 = 600 54x = 432 x = 8Therefore one pen costs 8 pence.

ax^2 + bx + c squared form: (x + p)^2 + qDivide b by two where here b=10 and then put this value into where p is in the squared form(x + 5)^2Multiply it outx^2 + 10x + 25Compare this with original equatio...

Firstly, you would expand the brackets on the right hand side of the equation, resulting in the equation looking like:4x - 20 = 18Then you would isolate the x, so would add 20 to 18:4x = 38Then, divide bo...