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How can I work out the equation of a line defined by 2 known points?

We know that the equation of a line takes up the slope-intercept form: y = mx + n ,where m is the slope and n is the y intercept To work out the equation of the line for our 2 points, we use the point-slope ...
DF
Answered by Daria F. • Maths tutor
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how to derive escape velocity

escape volocity is the minimum volocity required for one object toescape the gravitationl feild of another.we find this by equating gravitional potental enegy and the kinetic energy of the object to 1/2 * m ...
AM
Answered by Aidan M. • Maths tutor
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A drawer contains ten identical yellow socks, eight identical blue socks and four identical pink socks. Amrita picks socks from from the drawer without looking. What is the smallest number of socks she must pick to be sure that she has at least two pairs

(question continued): of matching socks? A) 5 B) 6 C) 8 D) 11 E) 13 Answer: Try applying each number starting from the smallest, you will find that with 6 socks there will always be at least 2 pairs of somet...
VB
Answered by Virginia B. • Maths tutor
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Solving harder exponential equations, e.g. 5/[exp(x) + 6exp(-x)] - 1 = 0 . CORE MATHS.

Our example equation is, 5/[exp(x) + 6exp(-x)] - 1 = 0 ,and we wish to solve for x. Note that exp(x) is the same as writing e x I have chosen this one, because it helps illustrate some general good practice ...
MS
Answered by Matthew S. • Maths tutor
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How do I differentiate (cosx)/x^2

Label function: y=(cosx)/x 2 Recall quotient rule for functions of form h(x)=f(x)/g(x) given by,h'(x)=(f'(x)g(x)-f(x)g'(x))/(g(x)) 2 Split original equation into f(x)=cosx and g(x)=x 2 Calculate individual d...
CD
Answered by Caelen D. • Maths tutor
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