Slope is y2-y1/x2-x1
(2,-5) can be your x1 and y1
(7,1) can be your x2 and y2
1-(-5)/7-2
1+5/5
6/5
The slope of the line is 6/5
Hope I helped!
Answer:
![1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}](https://tex.z-dn.net/?f=1.~e%5E%7B-2%7D%20%5C%5C2.~e%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D%5C%5C3.~e%5E8%5C%5C4.~e%5E%7B%5Cfrac%7B-11%7D%7B2%7D%7D)
Step-by-step explanation:
We have to simplify the given exponential exponents.
Exponential Properties:
Simplification takes place in the following manner:
a)
![(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}](https://tex.z-dn.net/?f=%28e%5E%7B-3%7D%29%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%28e%5Ea%29%5Eb%20%3D%20e%5E%7Bab%7D%5C%5C%3De%5E%7B-3%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%7D%5C%5C%3De%5E%7B-2%7D)
b)
![(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}](https://tex.z-dn.net/?f=%28e%5E4%29%28e%5E%7B%5Cfrac%7B-1%7D%7B2%7D%7D%29%5C%5Ce%5Ea.e%5Eb%20%3D%20e%5E%7Ba%2Bb%7D%5C%5C%3De%5E%7B%284%2B%5Cfrac%7B-1%7D%7B2%7D%29%7D%20%5C%5C%3D%20e%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
c)
![(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8](https://tex.z-dn.net/?f=%28e%5E%7B-2%7D%29%5E%7B-4%7D%5C%5C%28e%5Ea%29%5Eb%20%3D%20e%5E%7Bab%7D%5C%5C%3D%20e%5E%7B-2%5Ctimes%20-4%7D%5C%5C%3De%5E8)
d)
![(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}](https://tex.z-dn.net/?f=%28e%5E%7B-4%7D%29%28e%5E%7B%5Cfrac%7B-3%7D%7B2%7D%7D%29%5C%5Ce%5Ea.e%5Eb%20%3D%20e%5E%7Ba%2Bb%7D%5C%5C%3De%5E%7B%28-4%2B%5Cfrac%7B-3%7D%7B2%7D%29%7D%20%5C%5C%3D%20e%5E%7B%5Cfrac%7B-11%7D%7B2%7D%7D)
Answer:
28 days
Step-by-step explanation:
because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.
i hope this helps! :)
Third (0,4)
Is the correct choice