asked 39.9k views
3 votes
Find all points on the​ x-axis that are 14 units from the point (3,-7).

1 Answer

4 votes

Answer:

(3±√147, 0) ≈ (-9.124, 0) and (15.124, 0)

Explanation:

The points (x, 0) satisfy the distance formula:

d = 14 = √((x -3)² +(0+7)²)

196 = (x -3)² +49 . . . . . square both sides

147 = (x -3)² . . . . . . . . . subtract 49

3 ±√147 = x . . . . . . . . . take the square root and add 3

The points at distance 14 from (3, -7) on the x-axis are (3±√147, 0).

Find all points on the​ x-axis that are 14 units from the point (3,-7).-example-1
answered
User Honorable Chow
by
8.3k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.