Respuesta :

Answer:

10.6301458127

Step-by-step explanation:

Distance between any two points (x1, y1) and (x2,y2)  on a coordinate plane is expressed by the formula = [tex]\sqrt{(x1-x2)^2 + (y1 - y2)^2} \\[/tex]

given  L=(-4,-1) and E =(3, 7

substituting value of coordinates in equation [tex]\sqrt{(x1-x2)^2 + (y1 - y2)^2} \\[/tex]

we have

[tex]\sqrt{(-4 - 3)^2 + (-1 - 7)^2} \\=>\sqrt{(-7)^2 + (-8)^2} \\=>\sqrt{49 + 64} \\=>\sqrt{113} \\=>10.6301458127[/tex]

Therefore  the distance between the points L=(-4,-1) and E =(3, 7) = 10.6301458127

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