Find the distance between the points C(0, 0) and D(8, 3).
(1 point)
Responses
8.3
8.3
11
11
Square root of 73
Image with alt text: Square root of 73
square root of fifty-five
The distance between the points C(0, 0) and D(8, 3) is the square root of the sum of the squares of the differences in the coordinates.
Using the distance formula,
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) = (0, 0) and (x2, y2) = (8, 3),
we can calculate the distance:
d = √((8 - 0)^2 + (3 - 0)^2)
= √(8^2 + 3^2)
= √(64 + 9)
= √73
Therefore, the distance between C(0, 0) and D(8, 3) is the square root of 73.