Answer:
![z=\sqrt{-1}](https://tex.z-dn.net/?f=z%3D%5Csqrt%7B-1%7D)
Step-by-step explanation:
![z^2-12z=-13\\z^2-\frac{-12}{+12} =-13+12\\z^2=-1\\\sqrt{z^{2} } =\sqrt{-1}\\ z=\sqrt{-1}](https://tex.z-dn.net/?f=z%5E2-12z%3D-13%5C%5Cz%5E2-%5Cfrac%7B-12%7D%7B%2B12%7D%20%3D-13%2B12%5C%5Cz%5E2%3D-1%5C%5C%5Csqrt%7Bz%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B-1%7D%5C%5C%20z%3D%5Csqrt%7B-1%7D)
Answer:
It's b. 100
Step-by-step explanation:
10 x 10= 100 = rational number, other include a series of numbers that cannot be written down.
Sorry if this is wrong hope I did the math right. :)
Answer:
50 + 1 +
+
+ ![\frac{2}{1,000}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%2C000%7D)
Step-by-step explanation:
This is the answer because:
1) 50 and 1 equal to 51
2) The fraction forms of a decimal number is: the decimal number/the decimal number place value
3) Therefore, the answer is 50 + 1 +
+
+ ![\frac{2}{1,000}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%2C000%7D)
Hope this helps!
Answer: first option.
Step-by-step explanation:
Find the common difference d of the arithmetic sequence:
![d=a_n-a_{(n-1)}\\d=989-997\\d=-8](https://tex.z-dn.net/?f=d%3Da_n-a_%7B%28n-1%29%7D%5C%5Cd%3D989-997%5C%5Cd%3D-8)
Then the formula for the 101st term is the shown below:
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Where:
![a_1=997\\d=-8\\n=101](https://tex.z-dn.net/?f=a_1%3D997%5C%5Cd%3D-8%5C%5Cn%3D101)
Substitute values into the formula. Therefore, you obtain:
![a_n=997+(101-1)(-8)=197](https://tex.z-dn.net/?f=a_n%3D997%2B%28101-1%29%28-8%29%3D197)