Chapter 10: Q 1. (page 643)

1. The formula for the distance d from $P_{1} = (x_{1}, y_{1}) t o P_{2} = (x_{2}, y_{2})$ is d = _____.

Short Answer

Expert verified

The formula for the distance d from $P_{1} = (x_{1}, y_{1}) t o P_{2} = (x_{2}, y_{2})$ is, $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step by step solution

Step 1. Given information.

We have given two points $P_{1} = (x_{1}, y_{1}) a n d P_{2} = (x_{2}, y_{2})$ .

Step 2. Concept.

Distance between two points is the length of the line segment that connects the two given points.

Step 3. Explanation.

Distance between the points, $P_{1} = (x_{1}, y_{1}) a n d P_{2} = (x_{2}, y_{2})$ is,

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

Step 4. Conclusion

Hence, distance from the points $P_{1} = (x_{1}, y_{1}) t o P_{2} = (x_{2}, y_{2})$ is, $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

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1. The formula for the distance d from $P_{1} = (x_{1}, y_{1}) t o P_{2} = (x_{2}, y_{2})$ is d = _____.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept.

Step 3. Explanation.

Step 4. Conclusion

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1. The formula for the distance d from P1=(x1,y1)toP2=(x2,y2)is d = _____.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept.

Step 3. Explanation.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

1. The formula for the distance d from $P_{1} = (x_{1}, y_{1}) t o P_{2} = (x_{2}, y_{2})$ is d = _____.