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
Find the slope of the line tangent to the graph of f(x)= 3-2ln(2x^2+4) at the point (4, F(4))

Standard interpretations to derivatives Example   Assume that the amount of money in a bank account is specified by                                       P (t ) = 500 + 10

How to solve big unitary sums?

Example of Integration by Parts - Integration techniques Illustration1:  Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty

4 friends have 235 marbles and want to share.How many marbles should each friend receive?

what is the trignomatry ratio


PROOF OF VARIOUS DERIVATIVE FACTS/FORMULAS/PROPERTIES Under this section we are going to prove several of the different derivative facts, formulas or/and properties which we en

Rejection and Acceptance regions All possible values which a test statistic may either suppose consistency along with the null hypothesis as acceptance region or lead to the re

4.2^2x+1-9.2^x+1=0