Question

Find the distance between the points (2,-9) and (-1,4)

Answer 1

Answer:

The answer is

$\sqrt{178} \: \: or \: \: 13.34 \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-9) and (-1,4)

The distance between them is

$d = \sqrt{ ({2 + 1})^{2} + ({ - 9 - 4})^{2} } \\ = \sqrt{ {3}^{2} + ({ - 13})^{2} } \\ = \sqrt{9 + 169}$

We have the final answer as

$\sqrt{178} \: \: or \: \: 13.34 \: \: units$

Hope this helps you

Answer 2

Answer:

$\sqrt{178}$ ≈ 13.3

Step-by-step explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)

d = $\sqrt{(-1-2)^2+(4+9)^2}$

   = $\sqrt{(-3)^2+13^2}$

   = $\sqrt{9+169}$

   = $\sqrt{178}$ ≈ 13.3 ( to 1 dec. place )