Answer:
4. ASA theorem
Step-by-step explanation:
For this case we must find the quotient of the following expression:
![\frac {(- 8x ^ 2 * y) (- 7x ^ 5 * y ^ 3)} {- 2x ^ 2 * y ^ 3}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%28-%208x%20%5E%202%20%2A%20y%29%20%28-%207x%20%5E%205%20%2A%20y%20%5E%203%29%7D%20%7B-%202x%20%5E%202%20%2A%20y%20%5E%203%7D)
We can rewrite the expression as:
(We take into account that
)
![\frac {56x ^ 2 * y * x ^ 5 * y ^ 3} {- 2x ^ 2 * y ^ 3} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B56x%20%5E%202%20%2A%20y%20%2A%20x%20%5E%205%20%2A%20y%20%5E%203%7D%20%7B-%202x%20%5E%202%20%2A%20y%20%5E%203%7D%20%3D)
By definition of multiplication of powers of the same base, we place the same base and add the exponents:
![\frac {56x ^ {2 + 5} * y ^ {1 + 3}} {- 2x ^ 2 * y ^ 3} =\\\frac {56x ^ {7} * y ^ {4}} {- 2x ^ 2 * y ^ 3} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B56x%20%5E%20%7B2%20%2B%205%7D%20%2A%20y%20%5E%20%7B1%20%2B%203%7D%7D%20%7B-%202x%20%5E%202%20%2A%20y%20%5E%203%7D%20%3D%5C%5C%5Cfrac%20%7B56x%20%5E%20%7B7%7D%20%2A%20y%20%5E%20%7B4%7D%7D%20%7B-%202x%20%5E%202%20%2A%20y%20%5E%203%7D%20%3D)
By definition of division of powers of the same base, we place the same base and subtract the exponents:
![-28x^{ 7-2} * y^{ 4-3} =\\-28x ^ 5 * y](https://tex.z-dn.net/?f=-28x%5E%7B%207-2%7D%20%2A%20y%5E%7B%204-3%7D%20%3D%5C%5C-28x%20%5E%205%20%2A%20y)
Answer:
![-28x ^ 5 * y](https://tex.z-dn.net/?f=-28x%20%5E%205%20%2A%20y)
If I’m correct it should be 6+4i good luck
x5 - 10x2 - 8
—————————————
x - 2
Answer:
C. 1/16
Step-by-step explanation:
The probability of picking a blue envelope is 2/8 = 1/4. You want to select a blue envelope twice with replacement so we multiply 1/4*1/4 which is 1/16.