Question

What is the distance between (-4,6) (3,-7)

Answer 1

Answer:

The answer is

$\sqrt{218} \: \: or \: \: 14.76 \: \: \: units$

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

(-4,6) and (3,-7)

The distance is

$d = \sqrt{ ({ - 4 - 3})^{2} + ({6 + 7})^{2} } \\ = \sqrt{( { - 7})^{2} + {13}^{2} } \\ = \sqrt{49 + 169} \: \: \: \: \: \: \: \\ = \sqrt{218} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 14.7648230602$

We have the final answer as

$\sqrt{218} \: \: or \: \: 14.76 \: \: \: units$

Hope this helps you