The factors of 28 is 1,2,4,7,28 and the factors of 44 is 1,2,4,11,22,28 so,they both have 2,4 in common
2(3m-6+3m)=2m+2-4m
6m-12+6m=2m+2-4m
12m-12=-2m+2
14m-12=2
14m=14
m=1
Answer:a
Step-by-step explanation:
throughout the table it is presented that the answer, A, is correct becuase within the percentages is is obvious that a is correct.
The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
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