**ANSWER NEEDED FAST** (giving brainliest) Heres the question ;; In a Honeycomb Path puzzle, the goal is to fill every empty hex
agon (⬡) with a number so that a path of consecutive numbers crosses every hexagon. Consecutive numbers come one after another. For example 11, 12, and 13 are consecutive. What numbers should fill the center row of the honeycomb below from left to right?
2 answers:
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a. The general equation for a circle centered at with radius
is
The described circle has equation
We know the circle passes through the origin. This means that the equation above holds for and
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine
:
So the circle's equation is
b. If the distance between point B and the center is less than , then B lies inside the circle. If the distance is greater than
, it falls outside the circle. Otherwise, if the distance is exactly
, then B lies on the circle.
The distance from B to the center is
, so
, which means B falls outside the circle.