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balu736 [363]
2 years ago
9

What is the solution k+4 divided by 2 =k+9 divided by 3

Mathematics
1 answer:
jek_recluse [69]2 years ago
8 0
To simplify things we put everything into 1 line ok. So we cross multiply. 
3(k+4) = 2(k+9)
3k + 12 = 2k + 18
bring k to the left and numbers to the right. 
k = 6
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Short answer: 2 * sqrt(13)
Remark
There are a number of ways to look at this. I'll pick the easiest.

Step one
Factor 52 until there are no more prime factors to be used.

52 = 2 * 26
52 = 2 * 2 * 13. That's as far as you can go.

Rule
For every 2 equal prime factors, 1 of them can be taken out side of the root sign. The other one disappears.

sqrt(52) = sqrt(2*2* 13) = 2*sqrt(13)

Answer 2sqrt(13) <<<< answer
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