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Question
the coordinates of point a are (2, 2). the coordinates of point e are (10, 8). determine the length of segment ae. enter the coordinates of the two given points and then calculate the distance between them. coordinates $(x_1,y_1)$ of point a: (2, 2) coordinates $(x_2,y_2)$ of point e: (10, 8) $d = sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ $d=sqrt{(8)^2+( )^2}$ $d = $ the length of segment ae is feet step - by - step example what is the difference in y - coordinates
Step1: Find difference in x - coordinates
$x_2 - x_1=10 - 2=8$
Step2: Find difference in y - coordinates
$y_2 - y_1=8 - 2=6$
Step3: Apply distance formula
$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{8^2 + 6^2}=\sqrt{64+36}=\sqrt{100}=10$
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