The distance between the points (23, -33) and (4, 9) : 46.10
The length between two points in the cartesian plane (which is a line) can be found using the distance formula:
[tex]{\displaystyle \sqrt{(x2-x1) ^ {2} + (y2-y1) ^ {2}}}[/tex]
This formula is a derivation of phytagoras
The points (23, -33) and (4, 9)
[tex]\displaystyle D=\sqrt{(4-23)^2+(9+33)^2}\\\\D=\sqrt{19^2+42^2}\\\\D=\sqrt{361+1764}\\\\D=\sqrt{2125}\\\\=\boxed{\bold{46.097}}[/tex]
Round to two desimal places : 46.10 (D)
phytagoras theorem
https://brainly.com/question/3945600
Keywords : decimal places.phytagoras, distance, points
#LearnWithBrainly
