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NUMBER SYSTEM - 3/10
Point is located at . Point is located at . What is the distance
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units
units
2 units
units

Ask by Bowen Parry. in the United States
Jan 23,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The distance between points and is units.

Solución

To find the distance between points and , we can use the distance formula for two points in a Cartesian coordinate system, which is given by:

Step 1: Identify the coordinates

  • Point has coordinates
  • Point has coordinates (since )

Step 2: Substitute the coordinates into the distance formula

Now we can substitute the coordinates into the distance formula:

Step 3: Calculate the differences

Step 4: Substitute the differences back into the formula

Now we substitute these values back into the formula:

Step 5: Calculate the squares

Step 6: Calculate the distance

Now we can calculate the distance:

Step 7: Find the square root

Calculating the square root gives us:

Conclusion

The distance between points and is units.
Thus, the correct answer is units.

Respondido por UpStudy AI y revisado por un tutor profesional

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The Deep Dive

To find the distance between two points in a coordinate plane, you can use the distance formula:
For points and : Here, . Plugging in these values, you’ll find that the distance simplifies to units, which corresponds to the answer units!
The distance formula is a rockstar in mathematics because it not only calculates separation between points but also can be essential in various fields. Wanting to measure lengths in navigation, engineering, or even when drawing geometric shapes? This formula shows its versatility time and again, bridging the gap in our understanding of space and dimensions!

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