Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Find the distance between the two points in simplest radical form.
(-9,8) and (-3, -1)

Sagot :

absor201

Answer:

The distance between (-9, 8) and (-3, -1) will be:

[tex]\:d=3\sqrt{13}[/tex] units

Step-by-step explanation:

Given the points

  • (-9, 8)
  • (-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

[tex]d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

   [tex]=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}[/tex]

   [tex]=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}[/tex]

   [tex]=\sqrt{36+81}[/tex]

   [tex]=\sqrt{117}[/tex]

   [tex]=3\sqrt{13}[/tex] units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

[tex]\:d=3\sqrt{13}[/tex] units

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.