Answer:
5y - 5b
Step-by-step explanation:
M is equal to 6 because 6 times 2 would equal 12
Answer:
![(\frac{a^{2}b^{-3} }{a^{-2}b^{2} })^{2} = (a^{2-(-2) }b^{-3 - 2})^{2} \\ = (a^{4}b^{-5} )^{2} = (a^{4})^{2} (b^{-5})^{2} = a^{8} b^{-10}](https://tex.z-dn.net/?f=%28%5Cfrac%7Ba%5E%7B2%7Db%5E%7B-3%7D%20%20%7D%7Ba%5E%7B-2%7Db%5E%7B2%7D%20%20%7D%29%5E%7B2%7D%20%20%3D%20%28a%5E%7B2-%28-2%29%20%7Db%5E%7B-3%20-%202%7D%29%5E%7B2%7D%20%5C%5C%20%3D%20%28a%5E%7B4%7Db%5E%7B-5%7D%20%29%5E%7B2%7D%20%20%3D%20%28a%5E%7B4%7D%29%5E%7B2%7D%20%28b%5E%7B-5%7D%29%5E%7B2%7D%20%20%3D%20a%5E%7B8%7D%20%20b%5E%7B-10%7D)
Here is for you.
Step-by-step explanation:
Answer:
Option 4. Perimeter = 30 units
Step-by-step explanation:
Since the volume of a pentagonal prism is 840 cubic units.
Perpendicular distance between the bases = 14 units
We know volume of a pentagonal prism = Area of base × distance between the bases
840 = Area × 14
Area = 840/14 = 60 square units
Now area of a pentagon
![A=\frac{a^{2}}{4}\times\sqrt{5(5+2\sqrt{5})}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba%5E%7B2%7D%7D%7B4%7D%5Ctimes%5Csqrt%7B5%285%2B2%5Csqrt%7B5%7D%29%7D)
![1.72a^{2}=60](https://tex.z-dn.net/?f=1.72a%5E%7B2%7D%3D60)
![a^{2}=\frac{60}{1.72}=34.90](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D%5Cfrac%7B60%7D%7B1.72%7D%3D34.90)
![a=\sqrt{34.9}=5.91](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B34.9%7D%3D5.91)
Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units
Answer:
-9.3n + 8.7
Step-by-step explanation: