Answer:
6.3 units (nearest tenth)
Step-by-step explanation:
[tex]\boxed{Distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]
Using the formula above,
distance between (-8, 6) and (-6, 0)
[tex] = \sqrt{ {[ - 8 - ( - 6)]}^{2} + {(6 - 0)}^{2} } [/tex]
[tex] = \sqrt{ {( - 8 + 6)}^{2} + {(6 - 0)}^{2} } [/tex]
[tex] = \sqrt{ {( - 2)}^{2} + 6^{2} } [/tex]
[tex] = \sqrt{4 + 36} [/tex]
[tex] = \sqrt{40} [/tex]
= 6.3 units (nearest tenth)