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AlexFokin [52]
2 years ago
14

How many pairs of twin prime numbers are there in 1 to 100​

Mathematics
2 answers:
Zinaida [17]2 years ago
6 0

Answer:

eight

Step-by-step explanation:

3,5

5,7

11,13

17,19

29,31

41,43

59,61

71,73

Nezavi [6.7K]2 years ago
4 0

Answer:

8 pairs

Information to know:

[] What are prime numbers?

-> Prime numbers are numbers that only have factors of one and itself

[] What are twin prime numbers?

-> Twin prime numbers are "twins" if the two values are both prime and 2 away from each other

Step-by-step explanation:

[] If we go through the list, we end up with the following. Count them up and you receive an answer of 8.

-> 3 and 5

-> 5 and 7

-> 11 and 13

-> 17 and 19

-> 29 and 31

-> 41 and 43

-> 59 and 61

-> 71 and 73

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
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Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

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