Question

the coordinates of point l are (2, 0). the coordinates of point g are (4, 9). determine the length of segment lg. enter the coordinates of the two given points and then calculate the distance between them. coordinates (x1, y1) of point l: (?,?) coordinates (x2, y2) of point g: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{( )^2+( )^2} d = the length of segment lg is meters

Explanation:

Step1: Identify coordinates

For point L, $(x_1,y_1)=(2,0)$; for point G, $(x_2,y_2)=(4,9)$.

Step2: Substitute into distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(4 - 2)^2+(9 - 0)^2}$

Step3: Calculate values inside square - root

$(4 - 2)^2=2^2 = 4$ and $(9 - 0)^2=9^2 = 81$. Then $d=\sqrt{4 + 81}=\sqrt{85}$.

Answer:

$\sqrt{85}$