Answer: The the speed of elevators is 22.55.
Explanation:
It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.
The speed is the change in distance with respect to time.
From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,
Therefore, the speed of elevators is 22.55.
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 .
See Quadratic Formula and Determinant's/Delta's formula
Answer:
The graph should be stretched rather than become narrower.
Step-by-step explanation:
To figure this out, just create some example points.
At x = 0, your y-value will always be 0. But if you were to plug in the value 1, you would get a y-value of 1 in y=x^2, but a value of 0.5 in y=0.5x^2. If you were to plug in a value of 2, you would get a value of 4 in y=x^2, but a value of 2 in y=0.5x^2.
If you continue this pattern for a few more points, then plot them, you will see that adding a coefficient of 0.5 simply stretches the graph
An absolute value is positive value of any value. So the abs value of -28 is 28. The abs value of 67 is 67. Makes sense?
If it were |27-3| for example, treat the inside of a abs as parenthesis, so you must complete PEMDAS inside of it to reduce the equation to |24|, unless you wanted it to become |27| - |3|.
For functions, this becomes slightly different and more difficult, especially when adding a variable such as x. Look below for a sample equation.
|2x-3|=1
This equation will actually have (and most others) 2 solutions for x. To find these, you’ll need to multiply the inside of the abs by -1 for one equation, and leave it as it is for the other!
2x-3=1 -(2x-3)=1
Now you have to solve BOTH equations to get your correct x-value answers.
For the first listed equation:
2x=4
x=2
For the second listed equation:
-2x+3=1
-2x=-2
x=-1
So you get the x-values -1 and 2 which both make the parent function true!
