perimiter means all the way around, and im assuming this is a 4-sided shape, so 5+5+4+4 = 18 ft.
Answer:
![\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B8%5Bx%20%2B%202%5D%5Bx%5E2%20-%202x%20%2B%204%5D%7D)
Step-by-step explanation:
Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:
![\displaystyle 8x^3 + 64 \\ 8[x^3 + 8] \\ \\ x + 2 = \sqrt[3]{x^3 + 8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%208x%5E3%20%2B%2064%20%5C%5C%208%5Bx%5E3%20%2B%208%5D%20%5C%5C%20%5C%5C%20x%20%2B%202%20%3D%20%5Csqrt%5B3%5D%7Bx%5E3%20%2B%208%7D)
Then, since the divisor\factor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
−2| 1 0 0 8
↓ −2 4 −8
___________
1 −2 4 0 → 
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of
, attaching this to the first two factors you started out your work on:
![\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B8%5Bx%20%2B%202%5D%5Bx%5E2%20-%202x%20%2B%204%5D%7D)
I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation:
toookt the test dude
For this case we have that by definition of properties of powers and roots, it is fulfilled that:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:
![\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {\frac {1} {2}} {4} x} = 9 ^ {\frac {1} {8} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B9%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%20x%7D%7D%20%3D%209%20%5E%20%7B%5Cfrac%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%7D%20%7B4%7D%20x%7D%20%3D%209%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B8%7D%20x%7D)
So, we have to:
![\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {1} {8} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B9%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%20x%7D%7D%20%3D%209%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B8%7D%20x%7D)
Answer:

Option B
Answer: See below
Step-by-step explanation:
The difference between similar and congruent is the size and shape.
If two objects are similar, they look similar to each other, meaning they look the same, but not exactly the same. It can be 2 stuffed animals that look the same, but different sizes. One can be large and other can be small.
If two objects are comgruent, you know that they are EXACTLY the same. They are the same size, shape, etc. Using the example from above, you have either two large stuffed animals, or two small stuffed animals. The two large animals would be congruent to each other, same for the small animals.