Chapter 13: Q. 11 (page 526)

Find the distance between the points named. Use any method you choose.
(-2, 3) and (3, -2)

Short Answer

Expert verified

The distance is $\sqrt{50} .$

Step by step solution

Step-1 – Given

The given points are (-2, 3) and (3, -2).

Step-2 – To determine

We have to find the distance between the two points.

Step-3 – Calculation

$L e t (x_{1}, y_{1}) = (- 2, 3) and (x_{2}, y_{2}) = (3, - 2)$

Using the distance formula $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} [d = distance]$ we get:

$\begin{array}{l} d = \sqrt{{(3 - (- 2))}^{2} + {(- 2 - 3)}^{2}} \\ d = \sqrt{{(3 + 2)}^{2} + {(- 2 - 3)}^{2}} \\ d = \sqrt{{(5)}^{2} + {(- 5)}^{2}} \\ d = \sqrt{25 + 25} \\ d = \sqrt{50} \end{array}$

Hence, the required distance is $\sqrt{50}$ .

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Find the distance between the points named. Use any method you choose.
(-2, 3) and (3, -2)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Find the distance between the points named. Use any method you choose.(-2, 3) and (3, -2)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Discrete Mathematics

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Decision Maths

Study anywhere. Anytime. Across all devices.

Find the distance between the points named. Use any method you choose.
(-2, 3) and (3, -2)