In the 1st generation, there are 8 raccoons in a forest.
1 answer:
Answer:
Choice D is correct
Step-by-step explanation:
The sequence representing the number of raccoons;
8, 24, 72
is simply but a geometric sequence with first term 8 and common ratio 3.
The formula for the n-th term of a geometric sequence with first term x and common ration r is;
In the given case, x = 8 and r = 3
We substitute these values in the above formula;
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The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.
To add, in mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).
Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
So indeed the answer is 4 - i