Question

Wo points in the xy plane have Cartesian coordinates (5.00,−7.00)m and (−5.00,5.00)m. Determine the distance between these points.

Answer 1

The distance between two points in the xy plane is approximately 15.62 meters.

Step-by-step explanation:

To find the distance between two points in the xy plane, we can use the distance formula. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the given coordinates (5.00, −7.00) and (−5.00, 5.00), we can substitute the values into the formula:

d = √((-5.00 - 5.00)^2 + (5.00 - (-7.00))^2)

d = √((-10)^2 + (12)^2)

d = √(100 + 144)

d = √244

Therefore, the distance between the two points is approximately **15.62 meters**.