find the distance between (2/3,4) and (5/3,7)

a) 10.06
b) 3.16
c) 3.46
d) 4.24

b

Yes, I got b, also.

thanks quidditch

Glad to help.

To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's apply this formula to find the distance between the points (2/3, 4) and (5/3, 7).

Let (x1, y1) = (2/3, 4) and (x2, y2) = (5/3, 7).

Substituting these values into the distance formula, we get:

d = sqrt((5/3 - 2/3)^2 + (7 - 4)^2)
= sqrt((3/3)^2 + (3)^2)
= sqrt(1/1 + 9)
= sqrt(1 + 9)
= sqrt(10)
≈ 3.16

Therefore, the distance between the points (2/3, 4) and (5/3, 7) is approximately 3.16.

The correct answer from the options (a), (b), (c), (d) is b) 3.16