52.4k views
2 votes
Find the distance between the two points.

✓ [?]
Enter the number that
goes beneath the
radical symbol.

Find the distance between the two points. ✓ [?] Enter the number that goes beneath-example-1

1 Answer

2 votes

Answer:

The answer is


√(17) \: \: \: units

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 , 3) and ( 2 , 4 )

The distance between them is


d = \sqrt{ ({ - 2 - 2})^(2) + ({ 3 - 4})^(2) } \\ = \sqrt{ ({ - 4})^(2) + ( { - 1})^(2) } \\ = √(16 + 1) \\ = √(17) \: \: \: \: \: \: \: \:

We have the final answer as


√(17) \: \: \: units

Hope this helps you

User Bhanu Krishnan
by
4.6k points