The length of the line segment whose endpoints are A(-1,9) and B(7,4) is 9.43.
We have to determine, the length of the line segment whose endpoints are A(-1,9) and B(7,4).
According to the equation,
The length of the line segment is determined by using the distance formula following all the steps given below.
[tex]Distance \ formula = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
Where Endpoints of the line segment are A(-1,9) and B(7,4).
[tex]AB= \sqrt{(7-(-1))^2 + (4-9)^2}\\\\AB= \sqrt{(8)^2 + (-5)^2}\\\\AB = \sqrt{64+25}\\\\AB = \sqrt{89}\\\\AB = 9.43[/tex]
Hence, The length of the line segment whose endpoints are A(-1,9) and B(7,4) is 9.43.
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