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Nastasia [14]
2 years ago
13

The scale factor of the two shapes is 0.5 (or 1/2). True or false? B 32.4 km W 36 km 18 km True False​

Mathematics
1 answer:
yulyashka [42]2 years ago
5 0

Answer: True

Step-by-step explanation:

The scale factor between shapes is the number that when multiplied by the dimensions of the original shape will give the dimensions of the transformed shape.

Likewise when the dimensions of the transformed shape is divided by this number, it will yield the dimensions of the original shape.

The original shape has a length of 36km.

= 36 * 0.5

= 18 km

This proves that 0.5 is the scale factor because when the length of the original shape was multiplied by it, the result was the length of the transformed shape.

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Step-by-step explanation:

1 kilometer=1,000 meters

15,000 (meters a day) x 7 (days a week) = 105,000 meters.

Convert the meters to kilometers:

105,000/1,000 = 105 kilometers

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A minimum-phase continuous-time system has all its poles and zeros in the left-half s-plane. If a minimum-phase continuous-time
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Answer:

Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

Step-by-step explanation:

Bilinear Transform:

In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.

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We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.

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Read 2 more answers
Plz help me 75 points for the 2 questions!!!
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Answer:

<h3>#1</h3>

<u>The system of equations:</u>

  • 2x + 7y = -11
  • 3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

  • 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
  • 6x + 21y - 6x - 10y = -33 + 44
  • 11y = 11
  • y = 1

<u>Find x:</u>

  • 2x + 7*1 = -11
  • 2x = -11 - 7
  • 2x = -18
  • x = -9

<u>The solution is:</u>

  • x = -9, y = 1
<h3>#2</h3>

<u>Simplifying in steps:</u>

  • 8u - 29 > -3(3 - 4u)
  • 8u - 29 > - 9 + 12u
  • 12u - 8u < -29 + 9
  • 4u < -20
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3 years ago
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Step-by-step explanation:

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