Answer:
The correct option is 1.
Step-by-step explanation:
The difference of cubes is defined as
![a^3-b^3=(a-b)(a^2+ab+b^2)](https://tex.z-dn.net/?f=a%5E3-b%5E3%3D%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29)
The given expression is
![x^6-27](https://tex.z-dn.net/?f=x%5E6-27)
It can be written as
![x^6-3^3](https://tex.z-dn.net/?f=x%5E6-3%5E3)
Using the property of exponent, the above expression can be written as
![[\because (x^m)^n=x^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%5D)
This is a difference of cubes.
Therefore the correct option is 1.
Answer:5) x=y=7×6^1/2,6)x=38,y=19×3^1/2
7)m=n=18,8)u= 2×5^1/2,v=3
Step-by-step explanation: use trigonometry laws
Answer:
17 in.
Step-by-step explanation:
There are two same angles shown, so two sides are equal. We can form an equation x+4=4x+1. Solution is x=1, then both unknown sides are 5 in. long. Given all side lengths we add them 7+5+5+15 getting the perimeter.
<span>79.99/6.75%=5.399325 if you want the exact but 5.40 if you want rounded</span>
<span>The least number of equal sized pieces each posterboard could have is given by the lowest common multiple of 5 and 2.
The LCM of 5 and 2 is 10.
Therefore, the </span><span>least number of equal sized pieces each posterboard could have is 10.</span>