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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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Ted is a long distance driver. It took him 30 min longer to drive 275km on the Trans-Canada highway west of Swift Current, Saska
IRISSAK [1]

Speed traveling west = x - 10 km /hr


275 / ( x-10) - 300 / x = 1/2



275 *2x - 300 (x-10)*2 = ( x-10) *x



550x - 600x +6000 = x^2 -10x



x^2 +40x - 6000 = 0


( x -60) ( x+100) = 0


x = 60


ANSWER East = 60 km/ hr West = 50 km /hr


CHECK


300 /60 = 5 hours

275 /50 = 5.5 hours

7 0
3 years ago
NEED HELP WITH THIS PLEASE
marin [14]

Answer:

-25 + 75 = 50

Step-by-step explanation:

Since we don't know the value of the bar, we will call it x.

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Add 25 to both sides to find the value of x.

x = 75

You can also double check this answer by doing simple math.

-25 + 75 = 50

7 0
2 years ago
Read 2 more answers
The net of a triangular prism is show below.Find the rotal surface area of the triangular prism 4.6,4,5,15
marysya [2.9K]

Answer:

228.4cm²

Step-by-step explanation:

Find the diagram attached

Total surface area of the prism = Ph + 2B

P is the perimeter of the base (triangle)

h is the height of the prism

B is Base area

P = 5cm + 5cm + 4cm

P = 14cm

h = 15cm

B = 1/2 * base * height

B  = 1/2 * 4.6 * 4

B = 4.6 * 2

B = 9.2cm²

Substitute the values into the formula;

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Total surface area of the prism = 14(15)+2(9.2)

Total surface area of the prism = 210 + 18.4

Total surface area of the prism = 228.4cm²

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7 0
3 years ago
What is the correct answer? ​
Nastasia [14]

Answer:

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Step-by-step explanation:

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  graph the points: (0, -3) and (-4.5, 0)

The lines will cross at point: (-3, -1)

4 0
2 years ago
After the data was recorded, Leah realized that she left out a student who handed out 42 flyers. How would the mean number of fl
Yuliya22 [10]

Answer:

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Step-by-step explanation:

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