Answer: (-∞, -4)
To find the interval(s) over which the function is constant,
We look at the graph and pick the interval where the graph is neither increasing nor decreasing
When the graph is neither increasing nor decreasing means it should be a straight line
From the given graph , we have a straight line starts at -4 and goes to infinity
So constant interval is (-∞, -4)
10.90871211463571 i think?
The formula for of a ball is:
S = 4*r^2*pi
or if we express diameter in it:
S = D^2*pi because D=r/2
S1-S2 = (D1^2 - D2^2)*pi
1 = (100 - D2^2)*3,1415
100-D2^2 = 1/3.1415
D2^2 = 100-1/3.1415
D2 = 9.984cm
which means that Diameter will decrease by rate of:
0.016cm/min
- A line passes through (9,2) and (12,-4).
- So, x = 9, y = 2
- x = 12, y = -4
<u>For </u><u>the </u><u>1</u><u>s</u><u>t</u><u> </u><u>equation</u><u>,</u><u> </u>
- 2x + y = 20
- Putting x = 9, y = 2
- or, 2 (9) + 2 = 20
- or, 18 + 2 = 20
- or, LHS = RHS
- Now, putting x = 12, y = -4 in the above equation, we have
- 2(12) + (-4) = 20
- or, 24 - 4 = 20
- or, LHS = RHS.
- So we can see that the first equation is the equation of the line.
- This is given in the graph in the picture.
- Like this way, if we check with other equations, we see that they are not the required equation of the line.
<u>Answer</u><u>:</u>
<u>A.</u><u> </u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>y </u><u>=</u><u> </u><u>2</u><u>0</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.