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alisha [4.7K]
3 years ago
6

A frog is at the bottom of a 30 meter well. each day he summons enough energy for one 3 meter leap up the well. exhausted, he th

e hangs there for the rest of the day. at night, while he is asleep, he slips 2 meters backwards. how many days does it take him to escape the well?
note: assume after the first leap that his hind legs are exactly 3 meters up the well. his hind legs must clear the well for him to escape.
Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

It takes 30 days

Step-by-step explanation:

Think about it. The frog jumps 3 meters and the slides 2 meters down while in his sleep. So each day he only moves up one because 3-2=1. 30/1 is 30, therefore the answer is 30 days.

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ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


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We got this equation from row one-column one entry of both matrices.


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m-5=40


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Hence the correct answer is m=45,n=12.


The correct option is option 2






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