Answer:
(14a + 3, 21a + 4) = 1
Step-by-step explanation:
Step-by-step explanation:
To prove that the greatest common divisor of two numbers is 1, we use the Euclidean algorithm.
1. In this case, and applying the algorithm we would have:
(14a + 3, 21a + 4) = (14a + 3, 7a + 1) = (1, 7a + 1) = 1
2. Other way of proving this statement would be that we will need to find two integers x and y such that 1 = (14a + 3) x + (21a + 4) y
Let's make x = 3 and y = -2
Therefore, (14a + 3, 21a + 4) = 1
Answer:
Hopefully this helps!
Step-by-step explanation:
Let's simplify step-by-step.
6.3x10−(5)(10)−3
=6.3x10+−50+−3
Combine Like Terms:
=6.3x10+−50+−3
=(6.3x10)+(−50+−3)
=6.3x10+−53
Answer:
=6.3x10−53
In division, exponents with the same base are subtracted.
example:
Answer:
44.
Step-by-step explanation:
Let, x= white marbles
and y= yellow marbles
Now, according to the first condition
x + y = 58 … (1)
According to the second condition,
x= 3y+2
Or, 3y - x = -2 … (2)
Adding (1) and (2)
4y= 56
Or, y= 14
... (3)
Now, putting (3) in (1)
x = 44
Therefore there are 44 White marbles and 14 yellow marbles.