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
the low temperature in anchorage alaska today was negative four degrees what is the difference in the two low temperatures

Before going to solving differential equations we must see one more function. Without Laplace transforms this would be much more hard to solve differential equations which involve

Uh on my homework it says 6m = $5.76 and I dont get it..

help solve these type equations.-4.1x=-4x+4.5

Theory of Meta-games This theory shows to describe how most people play non zero sum games concerning a number of persons Prisoner's dilemma is an illustration of this. The

Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have? First, you must

Explain the Common Forms of Linear Equations ? An equation whose graph is a line is called a linear equation. Here are listed some special forms of linear equations. Why should

If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq. differentiating that and putting