Question

what is the length of the segment shown on the graph? 10√2 mrs. gamma was shooting hoops in the gym. 20 the victim had no signs of a snakebite. 12√2 a fallen object was not the cause of the injury. 2√12 dr. alpha was meditating in the atrium. add text stretch the yellow highlight box over the answer

Explanation:

Step1: Identify coordinates

The two endpoints of the segment: let's find their coordinates. From the graph, one point is \((-6, -6)\) and the other is \((6, 6)\).

Step2: Apply distance formula

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
Substitute \(x_1 = -6\), \(y_1 = -6\), \(x_2 = 6\), \(y_2 = 6\):
\(d = \sqrt{(6 - (-6))^2 + (6 - (-6))^2}\)
\(= \sqrt{(12)^2 + (12)^2}\)
\(= \sqrt{144 + 144}\)
\(= \sqrt{288}\)
Simplify \(\sqrt{288}\): \(\sqrt{144\times2} = 12\sqrt{2}\)

Answer:

\(12\sqrt{2}\) (corresponding to "A fallen object was not the cause of the injury")