Distance between a(3,9) b(-10,4)

Question

asked Dec 28, 2021 186k views

2 Answers

Jamie Babineau · Answer 1 · 2021-12-30T18:08:24+0000

Answer:

$\boxed {d = √(194)}$

Explanation:

Use the Distance Formula to help you find the distance between the two given points:

$d = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}$

First point:
(x_(1), y_(1))

Second point:
(x_(2), y_(2))

-Substitute the two given points onto the formula:

First point:
(3, 9)

Second point:
(-10, 4)

$d = \sqrt{(-10 - 3)^(2) + (4 - 9)^(2)}$

-Then, you solve for the distance:

$d = \sqrt{(-10 - 3)^(2) + (4 - 9)^(2)}$

$d = \sqrt{(-13)^(2) + (-5)^(2)}$

d = √(169 + 25)

$\boxed {d = √(194)}$ (since the number cannot be square rooted, the number will stay the same)

Therefore, the distance is
√(194) .