Pregunta
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Find the distance between and . Round your answer to the nearest hundredth, If necessary. (1 point)
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Ask by Morrison Peterson. in the United States
Mar 18,2025

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The distance between the points and is approximately .

Solución

To find the distance between the points and , we can use the distance formula:
where and are the coordinates of the two points.
  1. Identify the coordinates:
  2. Substitute the coordinates into the distance formula:
  3. Simplify the expressions inside the parentheses:
  4. Substitute these values back into the formula:
  5. Calculate the squares:
  6. Add the results:
  7. Calculate the square root:
  8. Round to the nearest hundredth:
Thus, the distance between the points and is approximately .

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Beyond the Answer

To find the distance between the points and , you can use the distance formula:
Here, . Plugging in these values:
So, the distance between the two points is approximately .
Calculating the distance can be quite handy! For example, knowing how to use the distance formula helps in real-life scenarios like determining how far apart two locations are on a map or in a city layout. It can also come in handy in fields ranging from engineering to computer graphics.
Now, while it seems straightforward, a common mistake is confusing the coordinates’ positions and doing arithmetic incorrectly. Make sure to always subtract the correct points corresponding to the formula! Writing down each step can help avoid such errors.

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