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Mekhanik [1.2K]
4 years ago
6

Which expressions are equivalent?

Mathematics
2 answers:
seraphim [82]4 years ago
7 0
Answer:

A :)

step by step explanation:
sattari [20]4 years ago
4 0

Answer:

A

Step-by-step explanation:

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What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?
bezimeni [28]
3\equiv3\mod{20}
3^2\equiv9\mod{20}
3^3\equiv27\equiv7\mod{20}
3^4\equiv3\cdot3^3\equiv3\cdot7\equiv21\equiv1\mod{20}

7\equiv7\mod{20}
7^2\equiv49\equiv9\mod{20}
7^3\equiv7\cdot7^2\equiv63\equiv3\mod{20}
7^4\equiv7\cdot7^3\equiv21\equiv1\mod{20}

9\equiv9\mod{20}
9^2\equiv3^4\equiv1\mod{20}

11\equiv11\mod{20}
11^2\equiv121\equiv1\mod{20}

13\equiv-7\equiv13\mod{20}
13^2\equiv169\equiv9\mod{20}
13^3\equiv13\cdot13^2\equiv(-7)9\equiv-63\equiv-3\mod{20}
13^4\equiv13\cdot13^3\equiv(-7)(-3)\equiv21\equiv1\mod{20}

17\equiv-3\equiv17\mod{20}
17^2\equiv(-3)^2\equiv9\mod{20}
17^3\equiv(-3)^3\equiv-27\equiv3\mod{20}
17^4\equiv(-3)^4\equiv81\equiv1\mod{20}

19\equiv-1\equiv19\mod{20}
19^2\equiv19(-1)\equiv-19\equiv1\mod{20}

Generally speaking, a number x coprime to n will be a primitive root of n if we have x^n\equiv x\mod{n}, or x^{n-1}\equiv1\mod{n}. In other words, if x is of order n-1 modulo n, then x is a primitive root of n.

Since none of these numbers has order 19, it follows that 20 does not have any primitive roots.
6 0
4 years ago
Which are acute, obtuse, or right?
qaws [65]
5,7 and 8 are right angles, and 6 is an acute angle this is because of u look at 9 and 10 you can see a little box looking thing under the h and if u do that to all of them 5, 7 and 8 can fit the little box but 6 you can’t because it is an acute angle. Hope this helped!
8 0
4 years ago
Please help me guys I need ur help
Alexeev081 [22]

Answer:

3.5 yr

Step-by-step explanation:

np ;)

8 0
3 years ago
Read 2 more answers
IN Ohio, I-75 and I-80 intersect at right angles. What type of lines do I-75 and I-80 form?
mash [69]

Answer:

Step-by-step explanation:

Interesting question

They form at right angles. The reason is the highways meet at right angles is that the United States does something really interesting and well thought out with its highway system.

The odd numbers run North and South

The even numbers run East and West.

So I-75 runs North and South

I-80 runs East and West.

They will, when they meet, form a right angle. This works for the interstates, but there a system for the intrastates as well.

I wish Canada would do something like that.

5 0
3 years ago
Which number line represents the inequality x < -2?​
Andre45 [30]

Is the number line which has an unshaded(due to the inequality sign being(<)) circle on top of (-2)...,and has a line pointing in the negative direction of the number line(-3,-4,-5...)

4 0
4 years ago
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