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You are given the equation of a line in the form of y=mx+c. From this, you know that 'm' represents the gradient, which can also be represented as dy/dx. We now need to work out the gradient of the normal...
Surface area:We know that the base of a cone is a circle, which has a surface area of πr2, where r is the radiusThe rest of the area will be π, r and l (the slanted length) multiplied togetherA...
The formula to find the cosine of the angle is: cosA= u.v/|u|x|v|; 1.u.v means that you multiply the x coordinates together, then the y coordinates and the z coordinates,...
In this question, you are being asked to show L1 and L2 are parallel. The equations of two parallel lines will have the same gradient. This is the number in front of the x term in the equation, but to com...
Use laws of logarithms to simplify.Log3((9y+b)/(2y-b)) = 2(9y+b)/(2y-b) = 32(9y+b) = 9(2y-b)9y+b = 18y-9bCollect terms.9y = 10by = 10b/9
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