84.6k views
2 votes
Point A is located at (-3,9) and point B is located at (12, -7). The distance between Point A and Point B can be found by using which of the following formulas?

User Nishad Up
by
8.4k points

1 Answer

3 votes

Final answer:

The distance between Point A and Point B can be found using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²].

Step-by-step explanation:

The distance between Point A located at (-3,9) and Point B located at (12, -7) can be found using the distance formula, which is derived from the Pythagorean theorem. The formula is:

d = √[(x2 - x1)2 + (y2 - y1)2]

This formula calculates the length of the hypotenuse of the right triangle formed by the horizontal and vertical distances between the two points. To find the distance, plug the coordinates of points A and B into the formula:

d = √[(12 - (-3))2 + (-7 - 9)2] = √[152 + -162] = √[225 + 256] = √481

User QVSJ
by
8.3k points