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worty [1.4K]
3 years ago
7

A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

The total distance the mouse scurries:

3+2+3.6= 8.6 meters.

Step-by-step explanation:

We know that the mouse scurries 3 meters along the length of the kitchen to reach a piece of cheese in the southwest corner. Then the mouse scurries 2 meters along the width of the kitchen to its other hole in the southeast corner.

We calculate diagonal of the kitchen:

d^2=3^2+2^2\\d^2=9+4\\d=\sqrt{13}\\d=3.6\,  m

The total distance the mouse scurries:

3+2+3.6= 8.6 meters.

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If you would like to solve <span>(8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4), you can do this using the following steps:

</span>(8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4) = 8r^6s^3 – 9r^5s^4 + 3r^4s^5 – 2r^4s^5 + 5r^3s^6 + 4r^5s^4 = 8r^6s^3 – 5r^5s^4 + r^4s^5<span> + 5r^3s^6
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The correct result would be 8r^6s^3 – 5r^5s^4 + r^4s^5<span> + 5r^3s^6.</span>
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