Answer:
A dilation has center (0,0). Find the image of the point L (-5,0) for the scale factor 4.
Step-by-step explanation:
A dilation has center (0,0). Find the image of the point L (-5,0) for the scale factor 4.
Answer:
The 8.39-kg bag
Step-by-step explanation:
19.99 divided by 7.98 = $2.51
20.38 divided by 8.39 = $2.43
2.51 > 2.43
So 8.39-kg bag is the better buy
Answer:
$186.13
Step-by-step explanation:
15% = .15
218.98 * .15 = 32.847 = 32.85
218.98 - 32.85 = 186.13
It can be useful to know the prime factorization of the number:

Then, remember that the n-th root of a number is the same as that number to the 1/n-th power:
![\sqrt[4]{256} = 256^{\frac{1}{4}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B256%7D%20%3D%20256%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
Finally, you have to remember the rule for raising a power to another power, i.e. you multiply the exponents:

Put together everything we said so far to write
![\sqrt[4]{256} = 256^{\frac{1}{4}} = (2^8)^{\frac{1}{4}} = 2^{\frac{8}{4}} = 2^2 = 4](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B256%7D%20%3D%20256%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%20%282%5E8%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%202%5E%7B%5Cfrac%7B8%7D%7B4%7D%7D%20%3D%202%5E2%20%3D%204%20)