The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (6, −1), and Monique's desk is located at (−3, 1). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
a square root of 98 feet
b square root of 85 feet
c square root of 6 feet
d square root of 5 feet
To find the distance between Maria's desk and Monique's desk, we can use the distance formula in two-dimensional coordinate space.
The distance formula is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
In this case, (x₁, y₁) = (6, -1) (Maria's desk) and (x₂, y₂) = (-3, 1) (Monique's desk).
Plugging the values into the distance formula:
d = √((-3 - 6)² + (1 - (-1))²)
= √((-9)² + (2)²)
= √(81 + 4)
= √85
Therefore, the distance from Maria's desk to Monique's desk is the square root of 85 feet.
The answer is b) square root of 85 feet.