Will mark BRAINLIEST for 5 and 6

  5. yes

  6. no

Step-by-step explanation:

5. yes

You know this because you're familiar with the first few Pythagorean triples:

   (3, 4, 5), (5, 12, 13), (7, 24, 25), ...

If you're not, you can use the Pythagorean theorem to check. The sides will form a right triangle if and only if they satisfy the Pythagorean theorem.

  13^2 = 12^2 +5^2

  169 = 144 + 25 . . . . . . true

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6. no

Your knowledge of numbers tells you that these numbers cannot satisfy the Pythagorean theorem.* The sum of an even and and odd number cannot be even. (The square of a number has the same parity as the number itself.)

* Thanks to , I recently figured out that you can apply a parity test to candidates for right triangle sides. The number of odd-length sides must be even. There cannot be a right triangle with integer side lengths, only one of which is odd.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !