Answer:
14.47
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) = (1.5,7) [/tex]
[tex] (x_2,y_2) = (-2.3,-8) [/tex]
Replacing these values in the distance formula
[tex]D =\sqrt{(7-(-8))^2+(1.5-(-2.3))^2}[/tex]
[tex]D =\sqrt{(7+8)^2+(1.5+2.3)^2}[/tex]
[tex]D =\sqrt{(15)^2+(3.8)^2}[/tex]
[tex]D =\sqrt{225+14.44}[/tex]
[tex]D =\sqrt{239.44}[/tex]
[tex]D= 15.47 [/tex]
Hence the distance is 14.47 units
