Question

Find the distance between the points.
(1, 5), (-7, -2)

Answer 1

Answer:
`√(113)`

Explanation:

Distance formula:
`√((x2-x1)^2+(y2-y1)^2)`

x1=1 x2=-7 y1=5 y2=-2

----------------------------------------------------------------

`√((-7-1)^2+(-2-5)^2)`

=
`√((-8)^2+(-7)^2)`

=
`√(64+49)`

=
`√(113)`

Hope this helps!! :)

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Answer 2

Distance =
`√(113)`

Explanation:

`(1, 5) = (x_1,y_1)\\ (-7, -2)=(x_2,y_2)\\\\d = √((x_2-x_1)^2+(y_2-y_1)^2)\\ \\d = √((-7-1)^2+(-2-5)^2)\\ \\d = √((-8)^2+(-7)^2)\\ \\d = √(64+49)\\ \\d = √(113) \\\\`