Answer:
Distance=[tex]\sqrt{85}[/tex]
Step-by-step explanation:
The distance between two points can be find by using the distance formula:
The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be find by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For the points :
[tex](-2,5)\\and \\(4,-2)[/tex]
[tex]Distance=\sqrt{(4-(-2))^2+(-2-5))^2} \\\\=\sqrt{(4+2)^2+(-7)^2} \\\\=\sqrt{6^2+(-7)^2} \\\\=\sqrt{36+49}\\\\ =\sqrt{85}[/tex]
The distance between the two points is: [tex]\sqrt{85}[/tex]
