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A curve has an equation y = 2x2 – 5x + 12a. Write y = 2x2 – 5x + 12 in the form a(x + m)2 ...
Label the equations, [a] 5x + y =21 and [b] x-3y =9. [b]: x - 3y = 9, [c]: x = 3y + 9. Substitute [c] into [a] 5(3y + 9) + y = 21 , 16y + 45 = 21 16y = -24 , y = - 3/2. Substitute y = -3/2 into [b]: x + 9...
The first step should be to rearrange the equation of the perpendicular line to PQ, in order to find the gradient, which works out to -3/2x. This can be done using the equation y=mx+c, where m is the grad...
This is a question from a non calculator GCSE paper only answered correctly by roughly half the students. The question is regarding the topic of surds and is quite a basic question testing your knowledge ...
Using the general form of a quadratic equation ax2+bx+c, we known that ax2+bx+c=(x+d)(x+e).The constant term, c, must be equal to the product of our two constants in the factorisatio...
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