50.7k views
2 votes
Find the distance between the two points. Write your answer as a simplified radical AND as a decimal to the thousandth's place.

User Jeremynac
by
7.5k points

1 Answer

3 votes

Final answer:

To find the distance between two points, use the distance formula and plug in the coordinates of the points. The distance can be written as a simplified radical or as a decimal approximation. For example, if the coordinates are (2, 4) and (6, 8), the distance would be 4√2 or approximately 5.657.

Step-by-step explanation:

To find the distance between two points, you can use the distance formula. The distance formula is: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). Let's say the coordinates of point 1 are (x1, y1) and the coordinates of point 2 are (x2, y2). Plug in the values of the coordinates and calculate the distance.

For example, if (x1, y1) = (2, 4) and (x2, y2) = (6, 8), the distance would be: d = sqrt((6 - 2)^2 + (8 - 4)^2) = sqrt(16 + 16) = sqrt(32) = 4√2.

The decimal approximation of 4√2 to the thousandth's place would be approximately 5.657.

User Sanoob
by
8.0k points