Question

Item 13 Find the distance between the points C(−6, 5) and D(−3, 1). The distance between the two points is

Answer 1

Answer:

5 units

Step-by-step explanation:

Given:-

- The two points C and D are given:

                    C ( -6 , 5 ) & D ( -3 , 1 )

Find:-

The distance between the two points

Solution:-

- The distance (d) between two arbitrary points ( x1 , y1 ) & ( x2, y2 ) in a cartesian coordinate system is given by the following formula:

                   

                  $d = \sqrt{( x_1 - x_2)^2 + ( y_1 - y_2 )^2}$

Where,

                 C = ( -6 , 5 ) = ( x1 , y1 )

                 D = ( -3 , 1 ) = ( x2 , y2 )

- Then we can calculate the distance d between the two given points:

               

                  $d = \sqrt{( -6 -(-3) )^2 + ( 5 - 1 )^2}\\\\d = \sqrt{( -3 )^2 + ( 4 )^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5 units$

- The distance between the given points C and D is d = 5 units