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KonstantinChe [14]
3 years ago
5

What is the point on the line perpendicular to the given line, passing through the given point that is also on the y-axis?

Mathematics
2 answers:
Gemiola [76]3 years ago
6 0

Answer:The answer is C


Step-by-step explanation:


olasank [31]3 years ago
6 0

Answer:

C is correct, just got it right

Step-by-step explanation:

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You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building
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Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

h=\sqrt{x^2+y^2}

The rate of change for the distance between you and the elevator is given by:

\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}

-16=\frac{dh}{dy}*\frac{dy}{dt}

\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\

Applying the chain rule:

u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}

Therefore, at x=300 and y = 500, dy/dt is:

-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s

The elevator is descending at 18.66 ft/s.

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3 years ago
Which accurately labels the cytoplasm?<br><br> W<br> X<br> Y<br> Z
bogdanovich [222]
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