The height of a soccer ball that is kicked from the ground can be approximated by the function:
1 answer:
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Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
There fore, the beam will bend by 50 mm with a mass of 100kg?
ANSWER
EXPLANATION
The equation of the circle with radius r and centre (a,b) is given by
The radius is
We need to determine the center of the circle from the given equation of another circle, which is,
We complete the square to obtain,
The centre of this circle is (4,3)
Hence the center of the circle whose equation we want to find is also (4,3).
With this center and radius 2, the required equation is,
Therefore the correct answer is C.
EXPLANATION
The equation of the circle with radius r and centre (a,b) is given by
The radius is
We need to determine the center of the circle from the given equation of another circle, which is,
We complete the square to obtain,
The centre of this circle is (4,3)
Hence the center of the circle whose equation we want to find is also (4,3).
With this center and radius 2, the required equation is,
Therefore the correct answer is C.