Question

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded to the nearest tenth?


17.5 units


10.29 units


175 units


13 units

Answer 1

The distance between the two points is;

$d = \sqrt{( {(5--10)}^{2 } + (3 - 12) {}^{2} )}$
$d = \sqrt{((5 + 10) {}^{2} + (3 - 12) {}^{2} }$
$d = \sqrt{(( {15}^{2} + ( { - 9}^{} ) {}^{2} )}$
$d = \sqrt{(225 +81)}$
$d = \sqrt{306}$
$d = 3 \sqrt{34}$
$d = 17.4929$
To the nearest tenth,

$d = 17.5 \: units$
Rounding to the nearest tenth is the same as rounding to one decimal place