What is the value of m+n, Mathematics

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve y=log2(12x-96). What is the value of m+n?

Posted Date: 3/29/2013 3:44:37 AM | Location : United States





we have x''''=x+m =>m=x''''-x
and        y'''' =y+n =>n=y''''-y
hence m+n=(x''''+y'''') - (x+y)
taking y''''=y=1 we get m+n= x''''-x
putting y=1 in y=log2 3x.... we get x=2/3
putting y''''=1 in y''''=log2 (12x''''-96)... we get x''''=49/6
Hence m+n= x''''-x=49/6 - 2/3
                          =45/6=15/2
hence m+n= 15/2 (ANS).

Posted by Lisa | Posted Date: 3/29/2013 3:44:55 AM


Related Discussions:- What is the value of m+n, Assignment Help, Ask Question on What is the value of m+n, Get Answer, Expert's Help, What is the value of m+n Discussions

Write discussion on What is the value of m+n
Your posts are moderated
Related Questions
how to find area under a curve?

Lucas purchased his motorcycle for $5,875.98 and sold it for $7,777.77. What was his profit? To ?nd out the pro?t, you must subtract what Lucas paid for the motorcycle from the

Find the relation between x and y when the point (x,y) lies on the straight line joining the points (2,-3) and (1,4) [ Hint: Use area of triangle is 0] Ans :   Hint: If the poi

There are k baskets and n balls. The balls are put into the baskets randomly. If k

Permutation - It is an order arrangement of items whether the order must be strictly observed Illustration Assume x, y and z be any of three items. Arrange these in all

HOW MUCH WILL A NEW CAR COST? THE AVERAGE COST OF A NEW CAR IN 1990 WAS $14371. IN 2003 THE AVERAGE COST HAD RISEN TO $22360. WHAT IS THE AMOUNT OF THE MONTHLY PAYMENT? THE AMOUNT

Find an integrating factor for the linear differential equation and hence Önd its general solution: SOLVE T^ 2 DY DX+T2

A car buyer has a choice of three makes, five body styles, and six colors. How many different choices does the buyer have?


1. The number of accidents attended to by 6 emergency ambulance stations during a 5 month period was: Station May June July Aug Sep      A        21     20     22    37    37