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Sindrei [870]
3 years ago
8

What is the maximum number of possible solutions for the system shown below?

Mathematics
2 answers:
Fudgin [204]3 years ago
8 0

Answer:

2

Step-by-step explanation:

The first equation is that of a an ellipse. The second equation is that of a line.

Attached is the graphs of both of these equations.

<em>If you think about it, there can only be 2 possible ways of solutions (intersection points) of an ellipse and a line.</em>

<em>1. The line will not intersect the ellipse at all, so no solution</em>

<em>2. The line will intersect the ellipse at 2 points maximum</em>

<em />

So, we can clearly see from the reasoning that the maximum number of possible solutions would be 2. The graph attached confirms this as well.

romanna [79]3 years ago
3 0

Answer:

The maximum number of solutions that the system can have are 2

Step-by-step explanation:

We have a system of equations composed of an ellipse of equation x ^ 2 + 4y ^ 2 = 64 and a line of equation x + y = 5.

The solution to the system of equations gives information about when the values of both equations coincide. In other words, the solutions of the system of equations give information about the number of times that the line x + y = 5. touch or intercept the graph of the ellipse x ^ 2 + 4y ^ 2 = 64

Graphically you can verify that a line can only touch an ellipse once or can intercept an ellipse a maximum of two times, or never touch it

Therefore, the maximum number of solutions that the system can have are 2.

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sertanlavr [38]

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Divide.round your answer to the nearest hundredth 1divide 3
Sonbull [250]

Answer:

.33

Step-by-step explanation:

<em>Hey there!</em>

1 / 3

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2 years ago
What percent of a foot is in 3 inches.; 4 inches.; 6 inches.; 9 inches. ? 3 inches is _% of a foot 4 inches is _% of a foot 6 in
Aleksandr-060686 [28]

Answer:

3 inches is 25 percent of a foot

4 inches is 33.33 percent of a foot

6 inches is 50 percent of a foot

9 inches is 75 percent of a foot

Step-by-step explanation:

The first thing we need to do to solve this problem is to convert our measurements in feet to inches.

1 foot = 12 inches

we can now find our percentage with ease since we are now making comparisons, using the same unit of measurement as a reference.

To get the percentage of which 3 is of 12, we simply perform the following operation: We divide 3 by 12 then multiply it by a hundred percent.

(3/12) X 100 = 25 percent.

3 inches is 25 percent of a foot

Similarly,

4 inches = (4/12) X 100 = 33.33 percent of a foot

6 inches =(6/12) X 100 = 50 percent of a foot

9 inches = (9/12) X 100 = 75 percent of a foot

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3 years ago
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