"Distance between (-4,11) and (5,6)?" was answered by our experts

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2022-08-17

Distance between (-4,11) and (5,6)?

Emely English

Beginner2022-08-18Added 16 answers

The formula for the distance of 2-dimensional coordinates is:

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

We have the two coordinates, so we can plug in the values for x and y:

d = \sqrt{{(5 - (- 4))}^{2} + {(6 - 11)}^{2}}

Now we simplify:

d = \sqrt{{(9)}^{2} + {(- 5)}^{2}}

d = \sqrt{81 + 25}

d = \sqrt{106}

If you want to leave it in exact form, you can leave the distance as

\sqrt{106}

. However, if you want the decimal answer, here it is rounded to the nearest thousandth's place:

d \approx 10.296

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