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Rearranging the first equation: 3y=5x-3Then dividing by 3 so that the equation of the line will become in the form of y=mx+c, where m is the gradient and c is the interception point with the y-axis (0,c)W...
While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs. Ans...
Log base 10log(x)=4 ~ 104 =xx=10000
x = -1/3 and y = 1/3 or x = -1/7 and y = -3/7
We know that tan x = sin x/cos x and so tan2x = sin2x/cos2x. We also know that sin2x + cos2x = 1 because this is a Pythagorean identity. We can rewri...
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