Simplify the expression using positive indices
1 answer:
You might be interested in
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :
Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
Answer:
Domain:
Range:
Step-by-step explanation:
<u>Domain</u>
We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write . Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.
<u>Range</u>
Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be .