Question

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

Answer 1

Answer:

$\boxed {d = 5}$

Step-by-step 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:

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

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

$d = \sqrt{9 + 16}$

$d = \sqrt{25}$

$\boxed {d = 5}$

Therefore, the distance is $5$.