Answer:
[tex]D= 7.071[/tex]
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Where
[tex] (x_1,y_1) = (-3,-4)) [/tex]
[tex] (x_2,y_2) = (-8,1) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(-8-(-3))^2+(1-(-4))^2}[/tex]
[tex]D =\sqrt{(-8+3)^2+(1+4)^2}[/tex]
[tex]D =\sqrt{(-5)^2+(5)^2}[/tex]
[tex]D =\sqrt{25+25}[/tex]
[tex]D =\sqrt{50}[/tex]
[tex]D= 7.071[/tex]
Hence the Distance is 7.071 units
