Are there always the same number of prime numbers between 2 consecutive multiples of 10? Why?
1 answer:
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The graph is a circle, centered at the origin, with radius=4.
We know that we can write the equation of a circle with radius r and center (a,b) as :
.
Thus, substituting (a, b) with (0, 0) and r with 4, we have:
.
The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:
,
we would still have the same roots.
Thus, the equation of the circle can be written as :
.
Answer: B
We know that we can write the equation of a circle with radius r and center (a,b) as :
Thus, substituting (a, b) with (0, 0) and r with 4, we have:
The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:
we would still have the same roots.
Thus, the equation of the circle can be written as :
Answer: B