Answer:
The distance is [tex]12.8\ units[/tex]
Step-by-step explanation:
we know that
The formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}+(z2-z1)^{2}}[/tex]
we have
[tex]A(1,-2,5)\\B(0,7,-4)[/tex]
substitute the values
[tex]d=\sqrt{(0-1)^{2}+(7+2)^{2}+(-4-5)^{2}}[/tex]
[tex]d=\sqrt{(-1)^{2}+(9)^{2}+(-9)^{2}}[/tex]
[tex]d=\sqrt{1+81+81}[/tex]
[tex]d=\sqrt{163}\ units[/tex]
[tex]d=12.8\ units[/tex]
