What is the missing constant term in the perfect square that starts with x^2+\dfrac{1}{2}xx
1 answer:
Answer:
1/16
Step-by-step explanation:
Given the expression;
To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x
Coefficient of x = 1/2
half of Coefficient of x = 1/2*(1/2)
Half of Coefficient of x = 1/4
square of the half of coefficient of x = (1/4)^2
square if the half of coefficient of x = 1/16
hence the constant that will make it a perfect square is 1/16
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Answer:
Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.
Step-by-step explanation:
Let us assume the time taken by Dwight to split a cord of firewood = K hrs
So, the per hour rate of Dwight =
As, Joe uses 3 LESS hours then Dwight.
So, the time taken by Joe to split a cord of firewood = (K- 3) hrs
So, the per hour rate of Joe =
Now, when both of them wok together, it takes them 2 hours.
So, the per hour rate of BOTH of them =
⇒ Per hour rate of ( Dwight + Joe) =
Now, solving for the value of K , we get:
Implies either K = 6 Or K = 1
But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.
⇒ K = 6 hours
Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.