△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches. What is MN ?
2 answers:
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Make into matrix
![\left[\begin{array}{ccc}2&1&1\\1&-3&-1\\4&5&2\end{array}\right] = \left[\begin{array}{ccc}-2\\14\\-4\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%261%5C%5C1%26-3%26-1%5C%5C4%265%262%5Cend%7Barray%7D%5Cright%5D%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C14%5C%5C-4%5Cend%7Barray%7D%5Cright%5D%20%20%20)
accoring to cramer's rule
replace the y collum with eh constant collumn and find the detterminant
![\left[\begin{array}{ccc}2&-2&1\\1&-14&-1\\4&-4&2\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%261%5C%5C1%26-14%26-1%5C%5C4%26-4%262%5Cend%7Barray%7D%5Cright%5D)
det
![2 \left[\begin{array}{ccc}14&-1\\-4&2\end{array}\right]-(-2) \left[\begin{array}{ccc}1&-1\\4&2\end{array}\right]+1 \left[\begin{array}{ccc}1&14\\4&-4\end{array}\right] ](https://tex.z-dn.net/?f=%202%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D14%26-1%5C%5C-4%262%5Cend%7Barray%7D%5Cright%5D-%28-2%29%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D%2B1%20%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2614%5C%5C4%26-4%5Cend%7Barray%7D%5Cright%5D%20%0A%0A)
dunno wat fraction is
pick last option
accoring to cramer's rule
replace the y collum with eh constant collumn and find the detterminant
det
dunno wat fraction is
pick last option
<h3><u>Question</u></h3>
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
<h3><u>Answer:</u></h3>Charlie saved $ 28
<h3><u>Solution:</u></h3>Given that amount of money that Charlie saves each week is directly proportional to the amount he earns
Let y represent of saved money and x represent amount of earned money
Therefore,
y = kx --- eqn 1
Where "k" is the constant of proportionality
<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>
y = 32 and x = 512
Substituting in eqn 1, we get
To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1
y = 0.0625(448) = 28
Thus charlie saved $ 28