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Sergeeva-Olga [200]
3 years ago
11

Why do negative reciprocals always have a product of -1?

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

No matter what 'x' is, the negative reciprocal of 'x' is  -(1/x).

Now let's multiply them:

                               (x) times  -(1/x)  =  -(x/x)  =  -1 .

And there you are.
That's why.

Eddi Din [679]3 years ago
4 0
For any number x, when we multiply by -1/x, we get -x/x, or -1.  As we haven't made any assumptions about x (other than x is not equal to zero, in which case x does not have a defined reciprocal), all negative reciprocals have a product of -1.
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Answer:

The answer to your question is 3, 9, 19, 33, 51

Step-by-step explanation:

Sequence                           an = 2n² + 1

1st term                               a₁ = 2(1)² + 1 = 2(1) + 1 = 2 + 1 = 3

2nd term                              a₂ = 2(2)² + 1 = 2(2)² + 1 = 2(4) + 1 = 8 + 1 = 9

3rd term                             a₃ = 2(3)² + 1 = 2(3)² + 1 = 2(9) + 1 = 18 + 1 = 19

4rd term                              a₄ = 2(4)² + 1 = 2(4)² + 1 = 2(16) + 1 = 32 + 1 = 33

5th term                              a₅ = 2(5)² + 1 = 2(5)² + 1 = 2(25) + 1 = 50 + 1 = 51

4 0
3 years ago
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now, the triangles are just four triangles with a base of 6, and a height of 4, in red noted there.

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