The answer is
-17 < x < 8
The graph attached is the function
![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
.
Notice where the graph intersects the y-axis?
A.
![y=(\frac{1}{4})^x+2](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex%2B2)
moves the graph UP 2 units
B.
![y=(\frac{1}{4})^{x+2}](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7Bx%2B2%7D)
moves the graph LEFT 2 units
C.
![y=(\frac{1}{4})^x-2](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex-2)
moves the graph DOWN 2 units
D.
![y=(\frac{1}{4})^{x-2}](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7Bx-2%7D)
moves the graph RIGHT 2 units
Now, which is it?
Answer:
![x\sqrt{2} = c](https://tex.z-dn.net/?f=x%5Csqrt%7B2%7D%20%3D%20c)
Step-by-step explanation:
The Pythagorean theorem tells us that
, where a and b are the legs of a right triangle. If the length of each leg is x, we know by applying the theorem that
, so
. Applying the square root on both sides we get ![x\sqrt{2} = c](https://tex.z-dn.net/?f=x%5Csqrt%7B2%7D%20%3D%20c)
9514 1404 393
Answer:
60 feet
Step-by-step explanation:
The length of the diagonal can be found from the Pythagorean theorem.
d = √(15² +20²) = √(225 +400) = √625
d = 25
Then the distance Haley walks is ...
20 ft + 15 ft + 25 ft = 60 ft
201÷7= 28.71
The answer is 28.71