Question

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point r and point t are on opposite sides of the x-axis. what is the distance between point r and the origin? units

Explanation:

Step1: Identify coordinates of R

Point R is at (0, -15) (since it's on the y - axis, x - coordinate is 0, y - coordinate is - 15). The origin is at (0, 0).

Step2: Use distance formula (or vertical distance)

The distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 0,y_1=- 15,x_2 = 0,y_2 = 0\). So \(d=\sqrt{(0 - 0)^2+(0-(-15))^2}=\sqrt{0 + 225}=15\). Or, since they are on the same vertical line (x = 0), the distance is the absolute difference of y - coordinates: \(|0-(-15)|=15\).

Answer:

15