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alex41 [277]
3 years ago
7

Question: What is the slope of the line?

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Answer:

4/5

Step-by-step explanation:

If you look at the point (-2,0) you can see that it sits directly on the line above 2. If you also at the point (3,4) you can see that its also sitting directly in the middle, where the line runs through it. Using this information we can use Rise/Run.

Rise/Run = Y/X

from (-2, 0) you rise 4 and you run 5 to the right to land on (3,4).

This is one of many ways you can calculate The slope from a graph!

Hope this helps! :)

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a circular oil slick is expanding at a rate of 2m^2/h. Find the rate at which it's diameter is expanding when it's radius is 1.5
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Answer:  \frac{4\pi}{3} \text{ meter per hour}

Step-by-step explanation:

The circular oil slick is expanding at a rate of  2 m^2/h

Let A be the area of the circular oil slick,

So, the changes in  A with respect to time (t),

\frac{dA}{dt} = 2

\frac{d(\pi r^2)}{dt} = 2

2\pi r\frac{dr}{dt} = 2

\frac{dr}{dt} = \frac{1}{\pi r}  

Also, the change in diameter with respect to time(t),

\frac{d}{dt} (2 r) = 2 \frac{dr}{dt}

\frac{d}{dt} (2 r) = 2 \times \frac{1}{\pi r}

\frac{d}{dt} (2 r) = \frac{2}{\pi r}

For r = 1.5 m,

\frac{d}{dt} ( 2 r)]_{r=1.5} = \frac{2}{\pi \times 1.5}=\frac{20}{\pi \times 15}=\frac{4\pi }{3}\text{ meter per hour}




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