Answer:
Distance between the points [tex](3,-3) \\\\[/tex] and [tex](6,1)[/tex]= 25
Step-by-step explanation:
The distance between two points in coordinate geometry can be find by using Distance formula.
If two points [tex](x_1,y_1)\\[/tex] and [tex](x_2,y_2)[/tex] are given then:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For points [tex](3,-3) \\\\[/tex] and [tex](6,1)[/tex]
Distance=
[tex]=\sqrt{(6-3)^2+(1-(-3))^2} \\\\=\sqrt{(6-3)^2+(1+3)^2} \\\\=\sqrt{3^2+4^2}\\\\=\sqrt{9+16}\\\\=\sqrt{25}\\\\=5[/tex]
The distance between the points is 25
The distance between two points is 5 unit.
Step-by-step explanation:
Given,
Two points are (3,-3) and (6,1)
To find out the distance between them.
Formula
The distance between two points ([tex]x_{1}, y_{1}[/tex]) and ([tex]x_{2}, y_{2}[/tex]) is [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]
Now,
Putting the values of [tex]x_{1}=3, y_{1}=-3, x_{2}=6 ,y_{2}=1[/tex] we get,
The distance is = [tex]\sqrt{(6-3)^{2}+(1+3)^{2} }[/tex] unit
= [tex]\sqrt{25}[/tex] = 5 unit
