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.
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
1 answer