Question

What is the distance between (-5,-6) and (-3,-8)

Answer 1

`√(8)`

Explanation:

distance formula

`\sqrt{(x_2 - x_1)^(2) +(y_2-y_1)^(2) }`

GIVEN: (-5,-6) (-3,-8)

`x_(1) = -5\\y_(1) = -6\\x_(2) = -3\\y_(2) = -8\\`

`\sqrt{(-3 - (-5))^(2) + (-8 - (-6))^(2) }\\\\\\\sqrt{(-3+5)^(2) + (-8+6)^(2) }\\`

sqrt (2^2 + (-2)^2)

sqrt (4 + 4)

= sqrt 8