SUP THANKS FOR THE POINTS
Answer:
(1) If the GCD of 5 and 12 is 1, then they are co-prime.
(2) The sum of 5 and 12 is 7 if and only if 5 is a negative integer.
Step-by-step explanation:
(1)
The GCD (greatest common divisor) of two or more numbers, which are not all equal to zero, is the largest positive integer number which divides each of the numbers.
If the GCD of two numbers is 1, then the two numbers are known as coprime or relatively prime or mutually prime.
(2)
The sum of 5 and 12 is 7 if and only if, the number 5 is a negative integer, i.e.
-5 + 12 = 7
The answer is
LA to Page: 611 mi
Page to Denver: 406 mi
Total distance from LA to Denver is T.
The distance LA to Page is x
The distance Page to Denver is y.
T = x + y
T = 1017
______
x + y = 1017
<span>The distance from L.A. to Page (x) is 205 miles greater than the distance from Page to Denver (y):
x = y + 205
The system of two equations:
</span>x + y = 1017
x = y + 205
Substitute x from the second equation into the first one:
y + 205 + y = 1017
2y + 205 = 1017
2y = 1017 - 205
2y = 812
y = 812 / 2
y = 406 mi (Page to Denver)
x = y + 205 = 406 + 205 = 611 mi (LA to Page)
