Find the distance between (1, 4) and (-2, 0)

Question

asked Apr 17, 2021 36.2k views

1 Answer

Wesley Workman · Answer 1 · 2021-04-22T04:46:04+0000

Answer:

$\boxed {d = 5}$

Explanation:

Use the Distance Formula to help you determine the distance between 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 two given points onto the formula:

First point:
(1, 4)

Second point:
(-2, 0)

$d = \sqrt{(-2 - 1)^(2) + (0 - 4)^(2)}$

-Solve for the distance:

$d = \sqrt{(-2 - 1)^(2) + (0 - 4)^(2)}$

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

d = √(9 + 16)

d = √(25)

$\boxed {d = 5}$

Therefore, the distance is
.