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Sonbull [250]
3 years ago
5

SOMEONE HELP ASAP!!

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

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Elza [17]

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3x - x = 28

Simplify:

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Divide both sides by 2

X = 14

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5 0
3 years ago
Please help I don’t understand this.
tresset_1 [31]

The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)

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Use the definition of the function to evaluate it at the points in the numerator:

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Then the average rate of change is

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6

3 0
3 years ago
5 1/3 divided by 7/8
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3 years ago
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katen-ka-za [31]

Answer:

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Hope this helps

6 0
3 years ago
Line AB contains point A(4,5) and B(9,7). What is the slope of AB
True [87]
5/2 



   Your welcome
Your welcome
6 0
3 years ago
Read 2 more answers
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