Minimizes the sum of the two distance, 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.

Solution) 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).


Related Discussions:- Minimizes the sum of the two distance

Reduction-types of word problems related to subtraction, Reduction -when t...

Reduction -when the original amount and the balance or remainder are known, to find the part that has been given away. (e.g., there were 15 toffees in a container, and there are

Determining and classifying all the critical points, how do you determine ...

how do you determine and classify all the critical points of a function

Minimax regret method -decision making under uncertainty, MINIMAX regret me...

MINIMAX regret method Minimax method assumes that the decision maker will experience 'regret' after he has made the decision and the events have happened. The decision maker ch

Quadratic equation, What do we mean by the roots of a quadratic equation ?

What do we mean by the roots of a quadratic equation ?

Cynthia, #stioquen..Store A is advertising a sale that will reduce prices o...

#stioquen..Store A is advertising a sale that will reduce prices on all merchandise by 15%. Store B is advertising a sale that will reduce prices on all merchandise by one over fiv

Example of spiral development of the mathematics curriculum?, E1) Can you g...

E1) Can you give some more examples of the spiral development of the mathematics curriculum? E2) A Class 3 child was asked to add 1/4 + 1/5. She wrote 2/9. Why do you feel this

Introduction to knowing your maths learner, INTRODUCTION : The other day I...

INTRODUCTION : The other day I overheard 6-year-old Ahmed explaining to his older sister about why swallowing the seeds of an orange is harmful. He said, "The seed will become a p

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Modelling the maximum volume, what are the dimensions of the box that can b...

what are the dimensions of the box that can be made if squares of x cm by x cm is cut off from 20cm by 20cm square paper

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