Answer:
1) C. 2
2) A. 2
Step-by-step explanation:
1. We need to descompose 256 into its prime factors:
We must rewrite the expression ![\sqrt[8]{256}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B256%7D)
:
![=\sqrt[8]{2^8}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B8%5D%7B2%5E8%7D)
We need to remember that:
![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
Then:
2. Let's descompose 16 into its prime factors:
We must rewrite the expression ![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
:
![=\sqrt[4]{2^4}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B2%5E4%7D)
Then we get:
We want the GCD of 9741: 3 * 17 * 191. In order to get that...
9741 is divisible by 3 and equal to 3247 * 3 therefore we have 3 * 3247.
3247 is divisible by 17 and equal to 191 * 17 therefore we have 3 * 17 * 191, these are all prime numbers so no more factorization for this part.
Now we need to prime factorize the 221.
221 is divisible by 13 and equal to 17 * 13 therefore we have 13 * 17 which are all prime numbers meaning no more factorization.
Now we want to factor out 17 from the numerator/denominator
9741 = 17 * 573
221 = 17 * 13
In other words...(Same thing cancel the common factor of 17)
Honestly I would recommend you watch an online video on it.
But think of it this way,
Combinations is used when you "Choose" a certain number of things out of a total number and order does not matter.
Permutations are when you permutate or arrange in a "Particular" order where order matters.
A) (x,y)->(4x,4y) because the x and y values are multiplied by 4 when dilated. Ex. U(-1,1) was dilated to U’(-4,4). -1 was multiplied by 4 to get -4 for the x value and 1 was multiplied by 4 to get 4 for the y value.
This means that a field of those dimensions would not be the required length of a minimum of 110 feet.
