What’s the distance between (-5 , 1) and (2, 4)

Question

asked Aug 26, 2021 105k views

1 Answer

Meotimdihia · Answer 1 · 2021-08-30T15:19:35+0000

Answer:

$\boxed {d = √(58)}$

Explanation:

Use the Distance Formula to help determine 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))

-Apply the given points onto the formula:

First point:
(-5, 1)

Second point:
(2, 4)

$d = \sqrt{(2 + 5) ^(2) + (4 - 1)^(2)}$

-Solve for the distance:

$d = \sqrt{(2 + 5) ^(2) + (4 - 1)^(2)}$

$d = \sqrt{(7) ^(2) + (3)^(2)}$

d = √(49 + 9)

$\boxed {d = √(58)}$ (since the number can't be square rooted, it will stay written the same)

Therefore, the distance is
√(58) .