Question

In exercises 13 and 14, find the distance between the two points.

Answer 1

The distances between the two points are:

1. A(x, y) = (- 1, 1), B(x, y) = (3, - 5): d = 2√13
2. C(x, y) = (2, 4), D(x, y) = (5, - 4): d = √73

What is the straight line distance between two distinct points on a Cartesian plane?

Herein we find two cases of two distinct points on a Cartesian plane and we must calculate the length of the line segment generated by each pair of points. This can be done by using Pythagorean theorem:

d = √[(Δx)² + (Δy)²]         (1)

Where:

• Δx - Change between the two points in the x direction.
• Δy - Change between the two points in the y direction.

Now we proceed to calculate the straight line distance between each pair of points:

Case 1

d = √[[3 - (-1)]² + (- 5 - 1)²]

d = 2√13

Case 2

d = √[(5 - 2)² + (- 4 - 4)²]

d = √73

The distances between the two points are:

1. A(x, y) = (- 1, 1), B(x, y) = (3, - 5): d = 2√13
2. C(x, y) = (2, 4), D(x, y) = (5, - 4): d = √73

To learn more on distances between two points: brainly.com/question/12661159

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