Respuesta :

Answer:

Step-by-step explanation:

1.) X1=3 y1=7 x2=6 y2=5

2.) x2-x1= 6-3=3

3.) y2-y1= 2-7=-5

4.) 3 squared=9

5.) -5 squared= 125

6.) 125=9=134

7.) 134's square root is 11.5

       11.5 units is your answer.

Step-by-step explanation:

Let the distance points E(3,7) and F(6,5)

Distance between EF = √[(x2-x1)²+(y2-y1)²]→Formula

Here, x1 = 3, y1 = 7

x2 = 6 , y2 = 5

Now,

Put all the values in distance formulae:

AB = √[(6-3)²+(5-7)²]

= √[(4)²+(2)²]

= √[(4*4)+(2*2)]

= √[16+4]

= √[20] = 2√5 Units.

Answer:- Hence, the distance between two points E(3,7) and F(6,5) is 2√5 Units.