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This question explores surds. To find the area of a rectangle we must multiply its two sides together. When multiplying surds we follow the rule that roota x roota = rootaxa, therefore in this case by mul...
(9-x)/2 = 2x - 8 Firstly, we want to multiply both sides by two to get rid of the fraction:9-x = 2(2x - 8)Open up the brackets:9 - x = 4x - 16Finally, we want to get the x's on one side and the numbers on...
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...
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