Question

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point j and point k are reflections of each other across the y-axis. what is the distance between point j and the origin? | units

Explanation:

Step1: Identify coordinates of J

From the graph, point J is at (3, 0).

Step2: Calculate distance from J to origin

The origin is (0, 0). The distance formula between (x₁,y₁) and (x₂,y₂) is $d = \sqrt{(x₂ - x₁)^2 + (y₂ - y₁)^2}$. For J(3,0) and origin(0,0), this becomes $d = \sqrt{(0 - 3)^2 + (0 - 0)^2} = \sqrt{9 + 0} = 3$. Or, since it's on the x - axis, distance is just the absolute value of the x - coordinate, $|3 - 0| = 3$.

Answer:

3