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A circle is centered at the origin and has a radius of 4 units. Which points on the circle have a y -coordinate of 3?

User Millenomi
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1 Answer

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Answer:The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

Explanation:

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

The equation of a circle usually takes the form;

(x-a)² + (y-b)² = r²

where a and b are x- and y- coordinates of the center of the circle.

In this scenario, the center is at the origin (0,0).

In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;

(1-0)² + (y - 0)² = 4²

1 + y² = 16.

y² = 15

y = ±√15.

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

User Astromax
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