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:
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Hope this helps!
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Answer:
Here is the formula:
Step-by-step explanation:
FV= future value of the annuity · PMT= amount of the periodic payment · r= annual interest rate written in decimal form · m=number of compounding
Answer: 200x^2y+640x^2+1010xy+3232x-2380y-7616
Step-by-step explanation:
((8x−14)(5y+16))(5x+34)
((8x−14)(5y+16))(5x)+((8x−14)(5y+16))(34)
200x2y+640x2−350xy−1120x+1360xy+4352x−2380y−7616
200x2y+640x2+1010xy+3232x−2380y−7616