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Zolol [24]
2 years ago
14

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (5, 4), (-5, -4) (5, 4), (5, -4) (5, 4), (4, 5)

(5, 4), (-5, 4)
Mathematics
1 answer:
Sidana [21]2 years ago
4 0

The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).

<h3>What is the point of symmetry?</h3>

This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.

The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.

Read more on point of symmetry here:

brainly.com/question/1553710

#SPJ1

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For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.
babunello [35]

Answer:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy

\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy

\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy

Therefore:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0
3 years ago
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