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Start by using the formula d = sqrt((x₂-x₁)²+(y₂-y₁)²)Therefore, substituting in our coordinates from P and Q:Length PQ = sqrt((-8-4)^...

2cot2x= 2(1/tan2x)= 2(1/(2tanx/1-tan²x))=2(1-tan²x)/2tanx= (1-tan²x)/tanx(1-tan²x)/tanx +tanx=(1-tan²x)/tanx +tan²x/tanx=1/tanx=cotx

To complete this task we use a method called "Completing the square. For this we use a formula (a+b)^2=a^2+2ab+b^2.
Now we see that in the example we have a term x^2 so we put x^2=a^2 so we can ...

P=(3a+5)/(4-a)First of all we need Get rid of the denominator, we do this by multiplying both sides by (4-a)This leaves P(4-a)=3a+5 (as any term multiplied by the denominator leaves only the numerator)Th...

t = (v - u) / a