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WINSTONCH [101]
2 years ago
15

Which of the following lines is perpendicular to y = -5x - 2?

Mathematics
1 answer:
kykrilka [37]2 years ago
5 0
Answer: c is perpendicular to y = -5x - 2

Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)

You can take a look at my notes for further clarification. Hope this helps!
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A castle is surrounded by a circular moat which is 5 m wide
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Answer:

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The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

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<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

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The volume of the moat is about 1414 kL.

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