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Vitek1552 [10]
1 year ago
7

Robert cuts a string that is 4 feet long into pieces that are each foot long. a. Complete the model to show 4 ÷2/6​

Mathematics
1 answer:
Olenka [21]1 year ago
3 0

24 pieces make up the solution to this puzzle.

I assume the query is how many pieces does she receive.

I'll respond to it. Leave a note if it is incorrect.

6 pieces will be produced from 1 foot, each measuring 1/6 of a foot (12/6 = 2 inches).

4 feet will provide 24 pieces (4 * 6).

24 pieces make up the solution to this puzzle.

To know more about model refer to brainly.com/question/22399643

#SPJ9

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If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

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Step-by-step explanation:

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