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Marizza181 [45]
3 years ago
14

How many Pythagorean triples can be created by multiplying the side lenghts in a known triple by a constant? Explain

Mathematics
1 answer:
Rudiy273 years ago
5 0
Answer: There are an infinite amount of Pythagorean Triples that could be created.

A Pythagorean Triple is a set of 3 integers that would form a right triangle. They must satisfy the equation a^2 + b^2 = c^2.

The most basic one is:  3, 4, 5

A triangle with sides of 3, 4, 5 would form a right triangle.

If we multiply each side by 2, we get 6, 8, 10. This would also be a right triangle. 

We could also multiply by 3, or 4, or 5, or 6 .......

We can multiply by any number and still have a right triangle.
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bazaltina [42]

Answer:

16

Step-by-step explanation:

7 0
3 years ago
A sequence can be defined by the explicit formula <img src="https://tex.z-dn.net/?f=a_n%3D5-3_n" id="TexFormula1" title="a_n=5-3
astra-53 [7]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.  a_n=a_{n-1}-3\ ;\ a_1=2

<h2>Step-by-step explanation:</h2>

The sequence is given by the explicit formula as:

a_n=5-3n

where a_n is the nth term of the sequence.

Also, the first term of the sequence is: a_1

i.e.

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Also,

a_n=5-3n\\\\i.e.\\\\a_n=5-3n+3-3\\\\i.e.\\\\a_n=5-3(n-1)-3\\\\i.e.\\\\a_n=a_{n-1}-3

   Hence, the recursive formula which represents the same sequence is:

                          Option: C

3 0
3 years ago
P. John roller skates with a constant
Vitek1552 [10]

Answer:

2 1/2 hours

Step-by-step explanation:

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3 0
3 years ago
2. Write an expression to represent f (20)
Furkat [3]

Answer:

I just learned this topic and have the same question, so I'm not sure if this right. However, I see a fellow student struggling and have to at least put in what I know. My equation was f(n) = 64(1/2)^n-1, then the question was write an expression to represent f(20).

Step-by-step explanation:

So, my answer was f(20) = 64(1/2)^19

f(20) is the number you plug into n. And because the exponent is n-1, I knew to subtract 1 from 20 to get 19.

Then I just wrote the equation out like the original expect with the numbers pluged in: f(20) = 64(1/2)^19

I hope this helps!

7 0
3 years ago
Evaluate the radical.<br><br> 3√27<br><br> Enter the answer in the box.
igor_vitrenko [27]

The answer is 3

Hope this Helped :T

3 0
2 years ago
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