If l is inversely proportional to √m and l = 6 when m = 4 . what is the value of m when l = 4?
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Answered by
244
let
L = k / √m ________(1)
here k is proportional constant.
since , L = 6 when m = 4 then from (1)
6 = k /√4
6 = k /2
k = 12
put value of ' k ' in eq.(1) , now the equation is :-
L = 12 / √m _______eq(2)
put value of L = 4 here in equation (2),we get
4 = 12 / √m
√m = 12 /4
√m = 3
m = (3)^2
m = 9
__________________________
Your Answer : m = 9
__________________________
L = k / √m ________(1)
here k is proportional constant.
since , L = 6 when m = 4 then from (1)
6 = k /√4
6 = k /2
k = 12
put value of ' k ' in eq.(1) , now the equation is :-
L = 12 / √m _______eq(2)
put value of L = 4 here in equation (2),we get
4 = 12 / √m
√m = 12 /4
√m = 3
m = (3)^2
m = 9
__________________________
Your Answer : m = 9
__________________________
Answered by
173
Answer:9
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