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Wittaler [7]
3 years ago
14

Write an equation that models each of the following translations

Mathematics
2 answers:
Dovator [93]3 years ago
5 0

ANSWER

y =  \cos3(x - 2)

EXPLANATION

We have

y =   \cos(3x)

This function is of the form:

y = a \cos(b(x - c))

The value of c shifts the graph c units to the right.

If the graph of this function is shifted 2 units to the right, then the equation becomes;

y =  \cos(3(x - 2))

Juli2301 [7.4K]3 years ago
4 0
<h2>Answer:</h2>

<u>The equation will be </u><u>y = cos (3x-2)</u>

<h2>Step-by-step explanation:</h2>

See the attached figure

The blue line shows the graph shifted by 2 units to the right while the red line shows the original graph

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The voltage in a circuit is the product of two factors, the resistance and the current. If the voltage is 6ir + 15i + 8r+20, fin
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Answer:

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Step-by-step explanation:

The factors of the given expression are ...

  6ir +15i +8r +20 = (3i +4)(2r +5)

Which factor is current and which is resistance is not clear. Usually, resistance is referred to using the variable r, so we suppose the expressions are supposed to be ...

  resistance: (2r +5)

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6 0
3 years ago
In the circle above, FH and GJ are chords which intersect at point K. If FK = 3 mm, HK = 4 mm, and GK = 2 mm, what is the length
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3 years ago
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
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  • 9y + 4x - 4x = 5x - 4x           Combine
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Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
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Step-by-step explanation:

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