Find the distance between (2/3,4) and (5/3,7)
a) 3.16
b) 4.24
c) 3.46
d) 10 .06
5/3 - 2/3 = 3/3 = 1
7-4 = 3
sqrt (1^2+3^2) = sqrt ( 10)
which is 3.16
thanks
To find the distance between two points in coordinate space, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = √[(x2 - x1)² + (y2 - y1)²]
In this case, the two points are (2/3,4) and (5/3,7). Let's plug them into the distance formula and solve for the distance.
x1 = 2/3
y1 = 4
x2 = 5/3
y2 = 7
d = √[(5/3 - 2/3)² + (7 - 4)²]
= √[(3/3)² + 3²]
= √[(1²) + 9]
= √(1 + 9)
= √10
≈ 3.16
The correct answer is a) 3.16.