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vodomira [7]
3 years ago
10

What are the coordinates of point (6,-2) after D o, 1/2

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0
<h3>Answer:   (3, -1)</h3>

Explanation: Cut each coordinate in half.

In other words, multiply each coordinate by 1/2 = 0.5

6*0.5 = 3

-2*0.5 = -1

The point (6,-2) moves to (3, -1) after the dilation. This trick only works because the origin is the center of dilation.

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A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
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Answer:

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y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

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(a)

The trigonometric function that models the motion of the string is given by:

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(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
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