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boyakko [2]
2 years ago
5

Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the l

ength of the shorter piece. How long will each piece of rope be? Enter your answers in the boxes. Shorter piece: ft Longer piece: ft.
Mathematics
1 answer:
tankabanditka [31]2 years ago
7 0

The length of the shortest piece is 5, and the longest piece is 13 feet.

Given

Greg has a piece of rope that is 18 ft long.

He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.

<h3>What is a system of the equation?</h3>

A system of equations is a set of two or more equations that you deal with at one time.

Let the length of the shorter piece be x.

And the length of the longer piece is 3x -2.

Greg has a piece of rope that is 18 ft long.

Then,

\rm \text{longest piece+shortest piece}=18\\\\x+3x-2=18\\\\4x=18+2\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5

Therefore,

The length of the shorter piece is x =5.

And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13

Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.

To know more about the System of equations click the link given below.

brainly.com/question/12895249

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Answer:

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Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

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The value of the intercept is found by isolating it within the equation and replacing all known variables:

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y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

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A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

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