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Schach [20]
3 years ago
11

Number graph ranging from negative five to five on the x and y axes. A line is drawn on the graph that passes through the labele

d points (negative three, negative one) and (one-half, two). Which is an equation of the given line in standard form?
A. –6x + 5y = 13
B. –7x + 6y =–11
C. –6x + 7y = 11
D. –6x +7y =–11

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0
B. Would be your correct answer
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3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time t

At t=0, the weight of the bucket is 6+36=42 \mathrm{lb}

After t seconds, the weight of the bucket is 42-0.15 t \mathrm{lb}

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after t seconds is x=1.5 t

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We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

W=\int_{t=0}^{t=36} F d x

Use x=1.5 t and F=42-0.15 t

W=\int_{0}^{36}(42-0.15 t)(1.5 d t)

=\int_{0}^{36} 63-0.225 t d t

=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}

=\left[63 t-0.2 t^{2}\right]_{0}^{36}

W=3200 \mathrm{ft} \cdot \mathrm{lb}

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Guess I gave you the correct answer
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