Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

what is the distance between (0,-8) and (3,2)

Sagot :

Answer: [tex]\Large\boxed{Distance=\sqrt{109}}[/tex]

Explanation:

Given information

(x₁, y₁) = (0, -8)

(x₂, y₂) = (3, 2)

Given the distance formula

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the given formula

[tex]Distance=\sqrt{(3-0)^2+(2-(-8))^2}[/tex]

Simplify values in the parenthesis

[tex]Distance=\sqrt{(3)^2+(2+8)^2}[/tex]

[tex]Distance=\sqrt{(3)^2+(10)^2}[/tex]

Simplify the exponents

[tex]Distance=\sqrt{9+100[/tex]

Simplify by addition

[tex]\Large\boxed{Distance=\sqrt{109}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions