Minimizing the sum of two distances, Mathematics

Assignment Help:

 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.


Related Discussions:- Minimizing the sum of two distances

The low temperature in Achorage, The low temperature in Anchorage, Alaska t...

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two

Algebra, Evaluate: 30 - 12÷3×2 =

Evaluate: 30 - 12÷3×2 =

Maths question, if the numerator of a fraction is decreased by 40% and the ...

if the numerator of a fraction is decreased by 40% and the denominator is increased by 100% the new value is 1. what was the original factor

Introduction to mathematics, We know that one has to deal with ...

We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact

Complex eigenvalues, It is the last case that we need to take a look at. Th...

It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system, x?' = A x? Here the eigenvalues of the matrix A are compl

Find out the minimum distance from the origin, Problem 1. Find the maximum...

Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c

Probability - applications of integrals, Probability - Applications of inte...

Probability - Applications of integrals In this final application of integrals that we'll be looking at we are going to look at probability.  Previous to actually getting into

Integers , (-85) from (-21) and explain me

(-85) from (-21) and explain me

How many total inches of wood does he have, Eduardo is merging two 6-inch p...

Eduardo is merging two 6-inch pieces of wood with a piece in which measures 4 inches. How many total inches of wood does he have? This problem translates to the expression 6 ×

Lora

3/29/2013 3:46:31 AM

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).

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd