Question

Try it! Find the distance between these points: (18,-10) and (1,-2)

Answer 1

Exact distance =
`\boldsymbol{√(353)}`

Approximate distance = 18.788294

Round the approximate value however your teacher instructs.

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Work Shown

`(x_1,y_1) = (18,-10) \text{ and } (x_2, y_2) = (1,-2)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((18-1)^2 + (-10-(-2))^2)\\\\d = √((18-1)^2 + (-10+2)^2)\\\\d = √((17)^2 + (-8)^2)\\\\d = √(289 + 64)\\\\d = √(353)\\\\d \approx 18.788294\\\\`