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3 years ago

The coordinates of point O are ( , )

Mathematics

2 answers:

damaskus [11]3 years ago

8 0

Answer:

(6,5)

Step-by-step explanation:

If B is the reflection of N and C is the reflection of O, then the equation used to map Point B to Point N must be the same for Point C to Point O.

The transition: y-2

Basically:

If B(3,7) ------> N(3,5) then C(6,7) --------> O(6,5)

y-2 y-2

Juliette [100K]3 years ago

3 0

The answer is (6,5) because the points create a square

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Answer:

to simplify the square root of 75, first I recognize that the perfect square 25 goes into it. So 75 = 25 x 3. Therefore the square root of 75 equals the square root of 25 times the square root of 3. And that means just 5 times the square root of 3.

Step-by-step explanation:

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2 years ago

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Anastaziya [24]

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3 years ago

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DaniilM [7]

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3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

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