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Use the set of ordered pairs below to answer each question.
{(4, 20), (8, 4), (2, 3), (15, 3), (6, 15), (6, 30), (1, 5), (6, 18), (0, 3)}
a. Write the ordered pair(s) whose first and second coordinate have a greatest common factor of 3.
b. Write the ordered pair(s) whose first coordinate is a factor of its second coordinate.
c. Write the ordered pair(s) whose second coordinate is a prime number.

Respuesta :

Answer:

a) {(15,3)}

b) {(4,20), (6,30), (6,18)}

c) {(2,3), (15,3), (1,5), (0,3)}  

Step-by-step explanation:

We are given the following ordered pair:

{(4, 20), (8, 4), (2, 3), (15, 3), (6, 15), (6, 30), (1, 5), (6, 18), (0, 3)}

a)Ordered pair whose first and second pair has a greatest common factor of 3. Since GCD of 15 and 3 is 3.

{(15,3)}

b)First coordinate is a factor of second coordinate

{(4,20), (6,30), (6,18)}

Since 4 is a factor of 20, 6 is a factor of 30 and 6 is a factor of 18.

c) Second coordinate is a prime number.

{(2,3), (15,3), (1,5), (0,3)}

Since 3 and 5 are prime numbers.

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