Final answer:
The distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2) is simply the absolute difference in their x-coordinates, which is 9.4 units. The Pythagorean Theorem is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
Step-by-step explanation:
The question asks to find the distance between two boats docked at different points on a coordinate grid. Boat A is docked at (4.2, -2) and boat B is at (-5.2, -2). Since both boats are on the same y-coordinate, their distance apart can be calculated by finding the difference in their x-coordinates.
Distance = |x2 - x1| = |-5.2 - 4.2| = |-9.4| = 9.4 units
Therefore, the boats are 9.4 units apart, which corresponds to option C. 9.4.
The shortest distance between two points is a straight line. This distance can be calculated by using the distance formula. The distance between two points
(x1, y1) and (x2, y2) can be defined as d=√(x2−x1)2+(y2−y1)2 . Let’s extend this concept to the shortest distance between a point and a line.
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane.
The Pythagorean Theorem is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.