MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

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.