What is the distance between $(–3, 2) and$ (5, –1) #?

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Answer 1 · 2016-04-01T17:22:25

Distance $= sqrt (73)$

The coordinates are:
$(-3, 2) = color(blue)(x_1, y_1)$

$(5, -1) = color(blue)(x_2, y_2)$

Distance is calculated using formula:
Distance $= sqrt ((x_2- x_1) ^2 + (y_2 - y_1)^2$

$= sqrt ((5 - (-3 )) ^2 + (-1 - 2)^2$

$= sqrt ((5 + 3 ) ^2 + (-1 - 2)^2$

$= sqrt ((8 ) ^2 + (-3)^2$

$= sqrt (64 + 9)$

$= sqrt (73)$

What is the distance between (–3, 2) and (–3, 2) and (5, –1) #?