Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses

9
9

6:40
6:40

41
41

5.57

The coordinates are; (-2,4)

Answer 1

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we need to find the distance between the two points (-2,4) in a Cartesian coordinate system.

Let's label the coordinates as (x1, y1) = (-2, 4).

To find the length between the two points, we need to calculate the horizontal and vertical distances separately.

The horizontal distance can be found by subtracting the x-coordinates:
Horizontal distance = x2 - x1 = ?
Since the other point is not given, we cannot calculate the exact horizontal distance. Please provide the x-coordinate of the other point.

Similarly, to find the vertical distance, we subtract the y-coordinates:
Vertical distance = y2 - y1 = ?

Since the other point is not given, we cannot calculate the exact vertical distance either. Please provide the y-coordinate of the other point.

Once we have both the horizontal and vertical distances, we can use the Pythagorean Theorem to find the length between the two points.