If a=2^3 x 3^7 x 5^3 x 11^4 and b= 2^2 x 3^5 x 7^2 x 11 x 13 , find the following:
1 answer:
Answer:
10,692
Step-by-step explanation:
GCF stands for Greatest Common Factor.
The way to find it is easy once you have the prime decomposition.
Search for common factors in the decomposition and take the least power, then multiply them all.
So, in our case, as the numbers are already broken down into prime factors , we have
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The direct variation equation relates x and y is y = x
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times another variable
If y varies directly with x, then
- y ∝ x
- y = k x is the equation of variation
- k is the constant of variation
∵ y varies directly with x
∵ y ∝ x
∴ y = k x
∵ y = 10 when x = 3
- Substitute these values in the equation above to find k
∴ 10 = k(3)
∴ 10 = 3 k
- Divide both sides by 3
∴ k =
∴ The equation of variation is y = x
The direct variation equation relates x and y is y = x
Learn more:
You can learn more about variation in brainly.com/question/10708697
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