Q 22 - Calculus | StudyQuestionHub

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Q 22

Question

Find the distance between the points (4, 0) and (-5, 12)

Step-by-Step Solution

Verified

Answer

The required distance is 15.

1Given information

The given points are (4, 0) and (-5, 12)

2Finding the distance

The distance between the given points is:

$\sqrt{{(- 5 - 4)}^{2} + {(12 - 0)}^{2}}$

Simplify:

$\sqrt{81 + 144}$

Simplify further

$15$

Other exercises in this chapter

How does the Pythagorean theorem generalize to higher dimensions? In particular, how would you compute the distance between two points in four-dimensional space

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

Find the distance between the points (1, 4, 7) and (-2, 3, 5).

Find the distance between points (3, 0, -1) and (2, -8, 0).