Question

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what is the distance between point r and the origin? 15 units what is the distance between point t and the origin? units

Explanation:

Step1: Identify coordinates of T

Point T is on the y - axis at (0, 6). The origin is (0, 0).

Step2: Calculate distance

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For \((0,0)\) and \((0,6)\), \(x_1 = 0,y_1 = 0,x_2=0,y_2 = 6\). So \(d=\sqrt{(0 - 0)^2+(6 - 0)^2}=\sqrt{0 + 36}=\sqrt{36}=6\). Also, since it's on the y - axis, the distance is just the absolute value of the y - coordinate, \(|6-0| = 6\).

Answer:

6