to find a lenght of a line segment over AB , with endpoints A(-7,5) & B(4,-6) you can use the ....?
To find the length of a line segment over AB using the given endpoints A(-7,5) and B(4,-6), you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively, and d is the distance between them.
Plug in the values from the coordinates:
d = sqrt((4 - (-7))^2 + (-6 - 5)^2)
= sqrt((4 + 7)^2 + (-6 - 5)^2)
= sqrt(11^2 + (-11)^2)
= sqrt(121 + 121)
= sqrt(242)
≈ 15.56
Therefore, the length of the line segment AB is approximately 15.56 units.