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
E1) Create a guessing game for children of Class 2, to familiarise them with the concept of a time interval E2) How could you use group dancing to teach concepts of geometry? Th

1.   The length of a rectangle is 2 times its width.  The area of the rectangle is 72          square inches. Find the dimensions of the rectangle.   2.   The length of a rec

how do you multiply fractions

TRIGONOMETRY : "The  mathematician  is  fascinated  with  the  marvelous  beauty  of the forms  he  constructs,  and  in their  beauty  he  finds  everlasting  truth." Example:


Solve the following: Line Bearings Distance a. N 15 E 4km b. S 10 E ? c. N 80 W ?

A plane is flying at 200 mph with a heading of 45degrees and encounters a wind mph from the west. What is the velocity and heading?

Dawn wants to evaluate the volume of a basketball along with the volume of a tennis ball. Which formula will she use? The volume of a sphere is 4/3 times π times the radius cub

If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v

What is the formulate of finding commission