Chapter 1: Q. 41 (page 15)

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (4, - 3); P_{2} = (6, 4)$

Short Answer

Expert verified

The distance between the points is $d = \sqrt{53}$ .

Step by step solution

Step 1. Given information.

Find the distance between the points.

$P_{1} = (4, - 3); P_{2} = (6, 4)$

Step 2. Substitute the values in the formula.

The length of the line segment is the distance between the points $P_{1} = (x_{1}, y_{1}) = (4, - 3) and P_{2} = (x_{2}, y_{2}) = (6, 4)$ . Using the distance formula with $x_{1} = 4, y_{1} = - 3, x_{2} = 6, and y_{2} = 4$ , the length d is

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{2})}^{2}} d = \sqrt{{(6 - 4)}^{2} + {(4 - (- 3))}^{2}} d = \sqrt{{(2)}^{2} + {(7)}^{2}} d = \sqrt{4 + 49} d = \sqrt{53}$

Step 3. Conclusion.

The distance between the points is $\sqrt{53}$ .

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Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (4, - 3); P_{2} = (6, 4)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Substitute the values in the formula.

Step 3. Conclusion.

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Find the distance d(P1,P2)between the points P1andP2.P1=(4,-3);P2=(6,4)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Substitute the values in the formula.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (4, - 3); P_{2} = (6, 4)$