Answer:
x^2 -2x + 1
Step-by-step explanation:
Think of a quadratic equation as
ax^2 + bx + c
x^2 -2x +
Comparing the two equations
a = 1 , b = -2, c = ?
c becomes the missing part
Divide b by 2
-2/2 = -1
square the result
-1^2
= 1 this is what to add to get a perfect square
x^2 -2x + 1
(x - 1)^2
Answer: x+y=
Step-by-step explanation:
you would just write it out step by step explaining wht u need to do to solve the question
Answer: a) 15625, b) 0.2, c) 625, d) 0.008.
Step-by-step explanation:
Since we have given that
a) ![(5^2)(5^3)](https://tex.z-dn.net/?f=%285%5E2%29%285%5E3%29)
As we know that
![a^m\times a^n=a^{m+n}](https://tex.z-dn.net/?f=a%5Em%5Ctimes%20a%5En%3Da%5E%7Bm%2Bn%7D)
So, it becomes,
![5^2\times 5^3=5^{2+3}=5^6=15625](https://tex.z-dn.net/?f=5%5E2%5Ctimes%205%5E3%3D5%5E%7B2%2B3%7D%3D5%5E6%3D15625)
(b) ![(5^2)(5^{-3})](https://tex.z-dn.net/?f=%285%5E2%29%285%5E%7B-3%7D%29)
So, it becomes,
![5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2](https://tex.z-dn.net/?f=5%5E2%5Ctimes%205%5E%7B-3%7D%3D5%5E%7B2-3%7D%3D5%5E%7B-1%7D%3D%5Cdfrac%7B1%7D%7B5%7D%3D0.2)
(c) ![(5^2)^2](https://tex.z-dn.net/?f=%285%5E2%29%5E2)
As we know that
![(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
So, it becomes,
![5^{2\times 2}=5^4=625](https://tex.z-dn.net/?f=5%5E%7B2%5Ctimes%202%7D%3D5%5E4%3D625)
(d) ![5^{-3}](https://tex.z-dn.net/?f=5%5E%7B-3%7D)
![a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008](https://tex.z-dn.net/?f=a%5E%7B-m%7D%3D%5Cdfrac%7B1%7D%7Ba%5Em%7D%5C%5C%5C%5C5%5E%7B-3%7D%3D%5Cdfrac%7B1%7D%7B5%5E3%7D%3D%5Cdfrac%7B1%7D%7B125%7D%3D0.008)
Hence, a) 15625, b) 0.2, c) 625, d) 0.008.
Step-by-step explanation: The cosecant function is graphed in the given figure. we are to find the period of the function.
The period of a function is the distance travelled by the curve of the function in one complete revolution.
We can see that in the given figure, the distance between two consecutive points is given by
Therefore, the period of the cosecant function is
Thus, the correct option is (B) \pi.
144
1,728 divided by 12 is 144