Compute the distance between the two points. (–3, 4) and (21, 11)

For this case we have that by definition, the distance between two points is given by:

We have the following points:

We replace:

Thus, the distance between the two points is 25 units.

25

The distance is 25 units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

To find the distance between given points

Here (x1, y1) = (-3, 4) and (x2, y2) = (21, 11)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(21 - -3)² + (11 - 4)²]

= √[(21 +3)² + (11 - 4)²]

= √[24² + 7²]

 = √(576 + 49)

 = √625

 =25

Therefore the distance is 25 units

each side has a different length.  

step-by-step explanation:

8

step-by-step explanation: