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lana [24]
3 years ago
8

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos

x ; g(x) = cos x Vertical stretch by a factor of 6 Horizontal shrink by a factor of one-sixth Horizontal stretch by a factor of 6 Vertical shrink by a factor of one-sixth
Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

  the vertical stretch factor is 6

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How many months of the year have 28 days??
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All 12 months have 28 days in it.
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pishuonlain [190]

Answer: 2x + 5y = -5

Step-by-step explanation:

Two lines are said to be parallel if they have the same slope.

The equation of the line given :

2x + 5y = 10

To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10/5

y = -2/5x + 2

This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.

using the formula:

y-y_{1} = m (x-x_{1} ) to find the equation of the line , we have

y - 1 = -2/5(x -{-5})

y - 1 = -2/5 ( x + 5 )

5y - 5 = -2 ( x + 5 )

5y - 5 = -2x - 10

5y + 2x = -10 + 5

therefore :

2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10

8 0
3 years ago
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My number has two periods. One 3,0 and 6 in that order the other contains the digits 0,9 and 5 in that order
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Jonathan found a strange piece of metal. He took it to a science lab and found that the metal is 37.5% gold and 62.5% nickel. Wh
ollegr [7]

Answer:

This ratio is 0.6.

Step-by-step explanation:

This ratio is:

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-------- = ----------- = -0.6

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3 years ago
The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

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