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HACTEHA [7]
3 years ago
5

What is the least positive integer?

Mathematics
1 answer:
k0ka [10]3 years ago
3 0
-1? I'm guessing the least
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799.73 round to the nearest whole number
JulsSmile [24]
800 hope this helped :)
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3 years ago
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For each x and n, find the multiplicative inverse mod n of x. Your answer should be an integer s in the range 0 through n - 1. C
krok68 [10]

Use the Euclidean algorithm to express 1 as a linear combination of x and n.

a. 52^{-1}\equiv40\pmod{77} because

77 = 1*52 + 25

52 = 2*25 + 2

25 = 12*2 + 1

so we can write

1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52

Taken modulo 77 leaves us with

1\equiv52\cdot52-12\cdot52\equiv40\cdot52\pmod{77}\implies52^{-1}\equiv40\pmod{77}

b. First, 77\equiv25\pmod{52}, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:

1 = 25*25 - 12*52

Taken modulo 52, we're left with

1\equiv25\cdot25\pmod{52}\implies25^{-1}\equiv25\pmod{52}

c. The EA gives

71 = 1*53 + 18

53 = 2*18 + 17

18 = 1*17 + 1

so we get

1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53

so that taken module 71, we find

1\equiv(-4)\cdot53\pmod{71}\implies53^{-1}\equiv-4\equiv67\pmod{71}

d. Same process as with (b). First we have 71\equiv18\pmod{53}, and we've already shown that

1 = 3*18 - 53

which means, taken modulo 53, that

1\equiv3\cdot18\pmod{53}\implies71^{-1}\equiv18^{-1}\equiv3\pmod{53}

6 0
3 years ago
Please helllppp its in the picture and due in 5 mins​
ioda

Answer:

it is a it's a

Step-by-step explanation:

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3 years ago
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Please help me someone with this problem
Y_Kistochka [10]
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2 years ago
A car is 165 inches long. A truck is 65% longer than the car.<br> How long is the truck?
zmey [24]

Answer:

262.25 inches

Step-by-step explanation:

65% of 165 is 107.25

107.25+165=272.25

so the truck is 262.25 inches long

4 0
3 years ago
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