Answer:
[tex]\sqrt{8}[/tex]
Step-by-step explanation:
distance formula
[tex]\sqrt{(x_2 - x_1)^{2} +(y_2-y_1)^{2} }[/tex]
GIVEN: (-5,-6) (-3,-8)
[tex]x_{1} = -5\\y_{1} = -6\\x_{2} = -3\\y_{2} = -8\\[/tex]
[tex]\sqrt{(-3 - (-5))^{2} + (-8 - (-6))^{2} }\\\\\\\sqrt{(-3+5)^{2} + (-8+6)^{2} }\\[/tex]
sqrt (2^2 + (-2)^2)
sqrt (4 + 4)
= sqrt 8
