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postnew [5]
3 years ago
8

Mark all true statements. Group of answer choices

Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

True

False

Step-by-step explanation:

a) The first statement is the basis for Euclid's algorithm to compute the gcd of two nonnegative integers a,b. You can prove this as follows.

Let G=gcd(a,b). Since r=a-bq and G divides a and G divides b, then G divides r. Now, G divides a and G divides r, hence G divides gcd(b,r).

On the other hand, since a=bq+r, and gcd(b,r) divides b and r, then gcd(b,r) divides a. Therefore gcd(b,r) divides a and b, which implies that gcd(b,r) divides G.

x divides y and y divides x implies that |x|=|y|. The GCD's are nonnegative, therefore G=gcd(b,r).

b) It is false. In general, to test for primality of N, you have to check that all primes smaller than N do not divide N. In this case, we have to check for 2,3,5,7,11,13,17,19,23,...

101 is prime, but this may be false in general. For example, consider N=13*11=143. N is not prime, and n is not divisible by 2,3,5, or 7.

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Need help quickly its hard
kaheart [24]

Answer:

1-3x+8y

Step-by-step explanation:

Multiply y and 2

Multiply y and 1

The y just gets copied along.

2*y evaluates to 2y

Multiply x and 4

Multiply x and 1

The x just gets copied along.

The answer is x

4*x evaluates to 4x

2*y-4*x evaluates to 2y-4x

The answer is 2y-4x+8

2*y-4*x+8 evaluates to 2y-4x+8

Multiply y and 6

Multiply y and 1

The y just gets copied along.

The answer is y

6*y evaluates to 6y

2y + 6y = 8y

The answer is 8y-4x+8

2*y-4*x+8+6*y evaluates to 8y-4x+8

-4x + x = -3x

The answer is -3x+8y+8

2*y-4*x+8+6*y+x evaluates to -3x+8y+8

8 - 7 = 1

The answer is 1-3x+8y

2*y-4*x+8+6*y+x-7 evaluates to 1-3x+8y

6 0
3 years ago
In the xy-plane, the line determined by the points (2,k) and (k, 32) passes through the origin. Which of the following could be
alexgriva [62]

1) Considering that those points (2,k) and (k,32) determines one same line, within the plane. Therefore we can say that

2) Considering that since they pass through the origin then their x -coordinate is equal to zero, and their y coordinate as well so

3) We can state that as a matter of fact (2, k) and (K, 32) can be rewritten as (2,0) and (0,32)

k=0

6 0
1 year ago
What is the next term of the arithmetic sequence?<br> 8, 5, 2, -1, -4,
Yuri [45]

Answer:

-7

Step-by-step explanation:

We need to find the common difference

Take the second term and subtract the first term

5-8 = -3

Check the third term and subtract the second term

2-5 = -3

The common difference is -3

To find the next term, take the last term and subtract 3

-4-3 = -7

3 0
3 years ago
1. X/5 + 6 &lt;2*<br> A.X&gt; 20<br> B.X-20<br> C.x&lt;-20<br> D.x&lt;20
jonny [76]

Answer:

C. x←-20

Step-by-step explanation:

  • 2-6=-4
  • -4•5=-20
5 0
2 years ago
-65 is 5 times a product of 5 and a number
hichkok12 [17]

Answer:

Step-by-step explanation:

=-65*5

=-325

3 0
2 years ago
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