Using implicit differentiation, it is found that the height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.
The height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.
Answer:
Growth: 3
y-intercept: 5
Step-by-step explanation:
1. Find the equation in slope-intercept form:
-6x+2y=10
2y=6x+10
y=3x+5
2. Then we can easily identify the growth and y-intercept.
Growth: 3
y-intercept: 5
X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2
We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) = (0,0) is the center
r = 4 is the radius
The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4.
Answer: r = 4
The answer is 14 when rounded to the nearest whole number, to get this you simply must divide 43 by 3 which equals to 14.333.
Answer:
A linear function has the form y=mx+b
A line has a proportional relationship if y/x is always the same ratio for any value.
The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.
A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.
In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.
This happens if they have the shape y=mx.
Step-by-step explanation:
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