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iren [92.7K]
3 years ago
7

What is the slope of the line?

Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0
The answer is A the line isn't sloping they are on the same y axis
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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
Natali5045456 [20]

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 :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

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 .

8 0
3 years ago
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4 years ago
What is the elimination method in math?
SSSSS [86.1K]

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!

If you need a more in-depth answer, don't hesitate to ask!

6 0
3 years ago
Read 2 more answers
Francine currently has $45,000 in her 401k account at work, and plans to contribute $8,000 each year for the next 15 years. How
earnstyle [38]

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

8 0
2 years ago
(8x - 14) (5y + 16) (5x + 34)​
labwork [276]

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

3 0
4 years ago
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