Respuesta :

Answer:

about 9.4 units

Step-by-step explanation:

Distance formula:

√(x1 - x2)² + (y2 - y1)²

Coordinates:

A (4, 2)

B (9, 10)

Let's make 9 = x1

Let's make 4 = x2

Let's make 10 = y1

Let's make 2 = y2

Substitute into the distance formula:

√(x1 - x2)² + (y2 - y1)²

√(9 - 4)² + (2 - 10)²

Solve:

√(9 - 4)² + (2 - 10)²

√(5)² + (-8)²

√25 + 64

√89

≈ 9.4

Therefore, the length of AB is approximately 9.4 units.

Answer:

About 9.4 units

Step-by-step explanation:

To find the distance between two points

d = sqrt(( y2-y1) ^2 + (x2-x1) ^2)  where (x1,y1) and (x2,y2) are the points

   =  sqrt(( 10-2)) ^2 + (9-4) ^2)

   =  sqrt((8) ^2 + (5) ^2)

   = sqrt(64+ 25)

    = sqrt(89)

   =9.433981132

About 9.4 units