(6, 31+2pi degrees)
(6, 31+4pi degrees)
(-6, 31-pi degrees)
(6, 31-2pi degrees)
etc. etc.
Answer:
22.6 inches
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
The diameter is 7.2 inches
Approximating pi by 3.14
C = 3.14 * 7.2
C = 22.608
Rounding to the nearest tenth
C = 22.6
Given that the number of years should be represented with x, the number of fish in the pond after x years should best be represented with f(x). The equation that would best show the given scenario in the problem above is,
f(x) = 500(2^x)
From the given, 500 is used as the initial population of the fish.
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.