Answer:
9
Step-by-step explanation:
shorter leg = x
longer leg = x + 3
Hypotenuse = x + 6
x² + (x + 3)² = (x + 6)²
x² + x² + 6x + 9 = x² + 12x + 36
2x² + 6x + 9 = x² + 12x + 36
x² - 6x - 27 = 0
(x - 9) ( x + 3) = 0
x = 9 or x = -3 (rejected)
Answer:
120hz is the answer
Step-by-step explanation:
this is just known fact. you learn this early on
C. 2+3 = 5
1/12+1/12=2/12
So C would make sense because those all add up to the answer :-)
![S=\{\varnothing,d,\{d\},\{\{d\}\},\{\{\{d\}\}\}\}=\{v,w,x,y,z\}](https://tex.z-dn.net/?f=S%3D%5C%7B%5Cvarnothing%2Cd%2C%5C%7Bd%5C%7D%2C%5C%7B%5C%7Bd%5C%7D%5C%7D%2C%5C%7B%5C%7B%5C%7Bd%5C%7D%5C%7D%5C%7D%5C%7D%3D%5C%7Bv%2Cw%2Cx%2Cy%2Cz%5C%7D)
A set containing
![n](https://tex.z-dn.net/?f=n)
elements has a power set containing
![2^n](https://tex.z-dn.net/?f=2%5En)
elements; here,
![|S|=5](https://tex.z-dn.net/?f=%7CS%7C%3D5)
so
![|\mathscr P(S)|=2^5=32](https://tex.z-dn.net/?f=%7C%5Cmathscr%20P%28S%29%7C%3D2%5E5%3D32)
.
The elements of the power set are all possible combinations of up to 5 of the total 5 elements to choose from:
0 choices (1):
![v](https://tex.z-dn.net/?f=v)
(since
![v=\varnothing](https://tex.z-dn.net/?f=v%3D%5Cvarnothing)
)
1choice (5):
![\{v\},\{w\},\{x\},\{y\},\{z\}](https://tex.z-dn.net/?f=%5C%7Bv%5C%7D%2C%5C%7Bw%5C%7D%2C%5C%7Bx%5C%7D%2C%5C%7By%5C%7D%2C%5C%7Bz%5C%7D)
2 choices (10):
![\{v,w\},\{v,x\},\{v,y\},\{v,z\},\{w,x\},\{w,y\},\{w,z\},\{x,y\},\{x,z\},\{y,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%5C%7D%2C%5C%7Bv%2Cx%5C%7D%2C%5C%7Bv%2Cy%5C%7D%2C%5C%7Bv%2Cz%5C%7D%2C%5C%7Bw%2Cx%5C%7D%2C%5C%7Bw%2Cy%5C%7D%2C%5C%7Bw%2Cz%5C%7D%2C%5C%7Bx%2Cy%5C%7D%2C%5C%7Bx%2Cz%5C%7D%2C%5C%7By%2Cz%5C%7D)
3 choices (10):
![\{v,w,x\},\{v,w,y\},\{v,w,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%2Cx%5C%7D%2C%5C%7Bv%2Cw%2Cy%5C%7D%2C%5C%7Bv%2Cw%2Cz%5C%7D)
and so on
4 choices (5);
![\{v,w,x,y\},\{v,w,x,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%2Cx%2Cy%5C%7D%2C%5C%7Bv%2Cw%2Cx%2Cz%5C%7D)
and so on
5 choices (1):
![\{v,w,x,y,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%2Cx%2Cy%2Cz%5C%7D)
(1 + 5 + 10 + 10 + 5 + 1 = 32)
Answer:
Step-by-step explanation:
7,802 in