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 = √((225 +81))`

`d = √(306)`

`d = 3 √(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