Cayabocharryidn
Answered

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what is the distance between 2 points whose coordinates are (4, -3) and (-4, 3)​

Sagot :

KAntoineDoixidn

✒️DISTANCE

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[tex] \large\underline{\mathbb{PROBLEM}:} [/tex]

  • What is the distance between 2 points whose coordinates are (4, -3) and (-4, 3).

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \:\: \rm{d = 10 \: units} [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

» Use the distance formula to determine the distance between the given points.

[tex] \begin{align} & \bold{Formula:} \\ & \quad \boxed{\rm d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2\,}} \end{align} [/tex]

  • [tex] d = \sqrt{(\text-4-4)^2 + (3-(\text-3))^2\,} [/tex]

  • [tex] d = \sqrt{(\text-4-4)^2 + (3+3)^2\,} [/tex]

  • [tex] d = \sqrt{(\text-8)^2 + (6)^2\,} [/tex]

  • [tex] d = \sqrt{64 + 36\,} [/tex]

  • [tex] d = \sqrt{100\,} [/tex]

  • [tex] d = 10 [/tex]

[tex] \therefore [/tex] The distance between these points is 10 units.

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