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Chapter 10: Q 21 (page 789)

To find the distance between the points (-2, 3) and (5, -6).

Short Answer

Expert verified

The required distance is $\sqrt{130}$ .

Step by step solution

Given information

Given two points (-2, 3) and (5, -6).

Finding the distance

The distance between given two points as per formula:

$\sqrt{(5 - {(- 2))}^{2} + (- {6 - 3)}^{2}}$

Simplify:

$\sqrt{{(7)}^{2} + (- {9)}^{2}}$

Simplify further:

$\sqrt{130}$

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To find the distance between the points (-2, 3) and (5, -6).

Short Answer

Step by step solution

Given information

Finding the distance

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