What is the distance between two points whose coordinates are (4, -3) and (-4,3)...

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October 2022 1 2 Report

What is the distance between two points whose coordinates are (4, -3) and (-4,3)?

A. 4
B. 6
C. 8
D. 10

P.s: The answer must have a solution

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Hanimeya

Verified answer

DISTANCE

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$\large\underline{\mathbb{ANSWER}:}$

$\qquad \qquad \LARGE \:\: 10 \:units$

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$\large\underline{\mathbb{SOLUTION}:}$

Determine the length from point A to point B using the given formula.

$\bold{formula : } \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \\ \boxed{\rm D= \sqrt{(x_2 - x_1 {)}^{2} + (y_2 - y_1 {)}^{2} } }$

$\tt{(x_1, y_1) = (4,-3) }$
$\tt{(x_2, y_2) = (-4,3) }$

Substitute in the two values of x and y coordinates.

$\rm D = \sqrt{(-4\:- \:4{)}^{2} + (3\:-\:-3{)}^{2} }$

$\rm D = \sqrt{(-8 {)}^{2} + (6{)}^{2} }$

$\rm D = \sqrt{(64) + (36)}$

$\rm D = \sqrt{100}$

$\rm D = 10$

Therefore, the distance between two points is 10 units. Option D.

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DISTANCE

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Note: This subject is "Discipline and Ideas in the Social Science" in GA Strand....

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