With one mighty swipe of his sword, the knight cut off the flying dragon's head. If the dragon's head weighed 56.7 kg, how much force was used by the head to fall to the ground?

The force used to fall by the head is

556.3N

Step-by-step explanation:

Given the the dragon's head has a mass m=56.7kg

Let us assume the acceleration due to gravity of the dragon's head is

9.81m/s^2

We know that the force

F=m*g

Substituting our data into the expression we have

F= 56.7*9.81

F= 556.2N

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.