Minimizing the sum of two distances, Mathematics

 The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.

Posted Date: 3/29/2013 3:46:16 AM | Location : United States





the minimum distance of the points from (1,y) is the distance from the intersection of their perpendicular bisectors to the line x=1
hence slope of perpendicular bisector=> -4=2y-14 / 2x -7
                                                           => 8x + 2y = 42.
putting x=1,y=17,
hence a+b= 17 +1 =18 (ANS).

Posted by Lora | Posted Date: 3/29/2013 3:46:31 AM


Related Discussions:- Minimizing the sum of two distances, Assignment Help, Ask Question on Minimizing the sum of two distances, Get Answer, Expert's Help, Minimizing the sum of two distances Discussions

Write discussion on Minimizing the sum of two distances
Your posts are moderated
Related Questions
Why -2=-x , is x=2

write in factor form 9x3+9x5

Before proceeding along with in fact solving systems of differential equations there's one topic which we require to take a look at. It is a topic that's not at all times taught in

how much distance is covered by a man if he is travelling at a speed of 45km/h in 5 sec

#triple integral of x^2+y^2+z^2 over 0

y=f(a^x)   and f(sinx)=lnx find dy/dx? Solution) dy/dx exist only when 0 1 as the function y = f(a^x) itself does not exist.

I want to complete my assignment, please explain me what is Inequalities?

a.      Random or probability sampling methods they involve: Simple random sampling Systematic sampling Stratified sampling Multi stage sampling   b.

If Var(x) = 4, find Var (3x+8), where X is a random variable. Var (ax+b) = a 2 Var x Var (3x+8) = 3 2 Var x = 36