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hram777 [196]
3 years ago
9

For any neZ^+, prove that the integers 8n +3 and 5n+2 are relatively prime. Compute the multipliers to compute inverse of one nu

mber with respect to the other number.
Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

See step-by-step explanation below

Step-by-step explanation:

This problem is solved using the Euclidean algorithm; to prove that the integers 8n + 3 and 5n + 2 are relative prime we have to prove that:

gcd(8n + 3, 5n + 2) = 1

gcd (8n + 3, 5n + 2) = gcd (3n + 1, 5n + 2) = gcd (3n + 1, 2n + 1) = gcd(n, 2n + 1) = gcd(n,1) = 1

⇒gcd(8n + 3, 5n + 2) = 1

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Tan x + sqrt(3) = - 2 tan x
Svet_ta [14]

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

8 0
3 years ago
The diagonals of a kite are 22 feet and 33 long. what is the area ?
Goshia [24]

Answer:

A=363

Step-by-step explanation:

To solve the area of a kite you use

a =  \frac{pq}{2}

So 22×33=726 then divide that by 2 and you get 363.

7 0
3 years ago
PLEASE SOMEONE HELP. I’m FAILING MATH . WILL NAME BRAINLIEST AND ITS WORTH 30 points!!
weqwewe [10]
I don’t really understand this put a person with genius role is answering so i hope you get your answer! goodluck
8 0
3 years ago
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Plz, help ASAP!!!!!!!!!!
sergey [27]

Answer:

ZX= 50

Step-by-step explanation:

because its right

5 0
3 years ago
weight A weighs 50 pounds. weight B weighs 100 pounds. if A is placed 6 feet from the pivot, how far must B be placed from the p
Anit [1.1K]

To achieve balance, the momentum on both sides must be equal so that it cancels out. Momentum is simply the product of mass and distance, therefore:

 

50 pounds * 6 ft = 100 pounds * X

X = 3 ft

 

Hence B must be placed 3 ft from the pivot.

3 0
3 years ago
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