Find the distance between (2/3,4) and (5/3,7)
a) 3.46
b) 3.16
c) 4.24
d) 10.06
well if you use the distance formula
the answer should be b.) 3.16
thanks ariel
To find the distance between two points, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's plug in the given coordinates into the formula:
d = √((5/3 - 2/3)^2 + (7 - 4)^2)
To simplify this, we need to perform some calculations:
d = √((3/3)^2 + (3)^2)
= √(9/9 + 9)
= √(1 + 9)
= √10
Now, let's approximate the square root value:
d ≈ 3.16
Therefore, the correct answer is b) 3.16.