The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
The x-intercepts are (-1/2, 0) and (-1,0).
The y-intercept is (0,1).
Answer:
Dilation of 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the slope along with an (x, y) coordinate with which to write the equation. You could use this info in the slope-intercept form and solve for b, or you could use this info in the point-slope form and solve it for y. Trust me when I tell you that either one will get you the correct equation. Promise! I used the point-slope form, just because. ; )
y - 2 = 3(x - 1) and
y - 2 = 3x - 3 and
y = 3x - 1 OR in standard form, we will put the x and y terms on the same side of the equals sign, separated from the constant:
-3x + y = -1. But if we get picky and do not like to lead with negatives, we could change ALL the signs to their opposites (which is the same as multiplying the whole thing by a -1) to get
3x - y = 1 which is the third choice down.
The two equations represent the proportional relationship.
y=3x and y=12x are proportional relation ship equations
proportion equations can be defined as
If we change x the y will change in the same proportion.
<h3>What is the proportional relationship?</h3>
Proportional relationships are relationships between two variables where their ratios are equivalent.
Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
That constant is known as the constant of proportionality.
proportional relationship equation contain (0,0) points
If we put x=0
This will give us,y=0
If we put x=0, in y=12x
It will give y=0
put if we put x=0 in
y=3x it will give us y=0
hence these two equations represent the proportional relationship.
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