Respuesta :
The distance between two points (4,-2) and (-6,4) exists [tex]2\sqrt{34}.[/tex]
How to estimate the distance between two points?
Distance between two points exists the length of the line segment that joins the two given points. Distance between two points in coordinate geometry can be estimated by finding the length of the line segment merging the provided coordinates.
Let the points be (4,-2) and (-6,4).
The distance between two points [tex](x_{1} ,y_{1})[/tex] and [tex](x_{2} , y_{2} )[/tex] exists provided by the distance between the two points
[tex]= $\sqrt\\(x_{2} -x_{1} )^{2} +(y_{2} -y_{1})^{2}[/tex]
substituting the points in the equation, we get
[tex]$=\sqrt\\(-6-(4)^{2} +(4-(-2)^{2}[/tex]
simplifying the equation, we get
[tex]$=\sqrt{136}[/tex]
[tex]$=2\sqrt{34}[/tex]
The distance between two points (4,-2) and (-6,4) exists [tex]2\sqrt{34}.[/tex]
Therefore, the correct answer is option c. [tex]$2\sqrt{34}.[/tex]
To learn more about the distance between two points refer to:
https://brainly.com/question/21449381
#SPJ9
