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?


Solution) 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
hence m+n= 15/2 (ANS).

Posted Date: 3/29/2013 5:14:08 AM | Location : United States

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

Write discussion on The value of m+n
Your posts are moderated
Related Questions

A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.

Learning geometric progression vis-á-vis arithmetic progression should make it easier. In geometric progression also we denote the first t


Deflation Indexes may be utilized to deflate time series so that comparisons among periods may be made in real terms. This is a process of decreases a value measured in cur

ab=8cm,bc=6cm,ca=5cm draw an incircle.

the function g is defined as g:x 7-4x find the number k such that kf(-8)=f- 3/2

Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.

Rationalize the denominator for following.  Suppose that x is positive. Solution We'll have to start this one off along with first using the third property of radica