Answer:
[tex]d_A_B=10.4\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]A(0,-8),B(3,2)[/tex]
substitute the values in the formula
[tex]d_A_B=\sqrt{(2+8)^{2}+(3-0)^{2}}[/tex]
[tex]d_A_B=\sqrt{(10)^{2}+(3)^{2}}[/tex]
[tex]d_A_B=\sqrt{109}\ units[/tex]
[tex]d_A_B=10.4\ units[/tex]
