Question: "Distance between (-9,2) and (12,-8)?"

Maghrabimh

Open question

2022-08-16

Distance between (-9,2) and (12,-8)?

Porter Mata

Beginner2022-08-17Added 18 answers

The distance between two points is shown by the formula:

d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}

We have the values for the two coordinates, so we can substitute them into the distance formula:

d = \sqrt{{(- 8 - 2)}^{2} + {(12 - (- 9))}^{2}}

And now we simplify:

d = \sqrt{{(- 10)}^{2} + {(21)}^{2}}

d = \sqrt{541}

If you want the exact distance, you can leave it as

\sqrt{541}

, but if you want it in decimal form, it is

\approx 23.26

(rounded to nearest hundblackth's place).

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