The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
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:
31.42 cm (rounded up to two decimal places)
Step-by-step explanation:
We first find the circumference of the semi-circle segment:
The circumference will be given by; × π × D (where D is the diameter)
The diameter is 6 cm so circumference is;
× π × 6 cm = 9.42 cm (rounded up to two decimal places)
The perimeter of the figure therefore is;
8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm