Using a graphical approach, to determine the type of the problem,suggest a strategy to avoid the problem( if any), maximize 10X+
10Y subject to : 2X+4Y=< 16 2X=<10
4Y=<8 X=6
4Y=<8 X=6
1 answer:
Answer:
No solution. Inconsistent.
Step-by-step explanation:
The equations are
As we can see here that x=6 and x<=5 the solution area will not be bounded i.e., there will be no common area.
The lines do not intersect
Therefore there will be no solution.
Plotting the equations we get the graph below.
A strategy to avoid the question would be by just looking at the linear equations. It can be clearly seen that there are two lines that will never intersect and hence will have no solution.
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Answer:
2.83 s
Step-by-step explanation:
We are given that
When a rock reached the ground then h(t)=0
Using quadratic formula
Time cannot be negative .Therefore, negative value of t can not be possible.
Hence, the rock takes 2.83 sec to reach the ground.
Answer:
The answer to your question is
Step-by-step explanation:
Data
Foci (-2, 2) (4, 2)
Major axis = 10
Process
1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.
From the graph we conclude that it is a horizontal ellipse.
2.- Determine the foci axis (distance between the foci)
2c = 6
c = 6/2
c = 3
3.- Determine a
2a = 10
a = 10/2
a = 5
4.- Determine b using the Pythagorean theorem
a² = b² + c²
-Solve for b
b² = a² - c²
b² = 5² - 3²
b² = 25 - 9
b² = 16
b = 4
5.- Find the center (1, 2) From the graph, it is in the middle of the foci
6.- Find the equation of the ellipse
