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erik [133]
2 years ago
12

What is the slope of y=7x+2

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Answer: m = 7

Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where <em>m </em>represents the slope of the line and <em>b</em> represents the y-intercept.

Now looking at this equation, we can see that <em>m</em> or the slope of the line is 7.

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if a snowball rolls down a hill and its surface area increaces at a rate of 18cm^2/min, find the rate at which the radius increa
sp2606 [1]

Answer: dr/dt = 9/(24pi)  cm per minute

9/(24pi) is approximately equal to 0.119366

=============================================

Work Shown:

Given info

dS/dt = 18 cm^2/min is the rate of change of the surface area

r = 6 cm is the radius, from the fact that the diameter is 12 cm

--------

Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius

S = 4*pi*r^2

dS/dt = 2*4*pi*r*dr/dt

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48pi*dr/dt = 18

dr/dt = 18/(48pi)

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dr/dt = 9/(24pi)

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