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Natali [406]
3 years ago
11

Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.​

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

Frank is wrong

Step-by-step explanation:

6(6) - 1 = 35

35 is a multiply by 5 so it is not a prime number.

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J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
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Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3

2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2 
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JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25

3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
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