SOLUTION: Given (9, 4) and (x,- 8), find all x such that the distance between these two points is 13. Separate multiple answers with a comma,

Algebra.Com
Question 1197077: Given (9, 4) and (x,- 8), find all x such that the distance between these two points is 13. Separate multiple answers with a comma,
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

The distance formula is:



given:
(, ) =(, )
(, ) = (,)


plug in distance formula:


...........square both sides



.........factor





solutions:

if =>
if =>



the point (,) could be:
(,)
or
(,)

answer: ,

check the answer:

(, ) and (,)
Solved by pluggable solver: Distance Between 2 points
The distance formula is . Plug in the numbers,

The distance is 13.



and

(, ) and (,)
Solved by pluggable solver: Distance Between 2 points
The distance formula is . Plug in the numbers,

The distance is 13.




RELATED QUESTIONS

Given (11, 7) and (x, −5), find all x such that the distance between these two points... (answered by greenestamps,ikleyn,Edwin McCravy)
Given (12,7) and (x,−8), find all x such that the distance between these two points is... (answered by ikleyn)
Given (20,8) and (x,−1), find all x such that the distance between these two points is... (answered by Theo)
Given (15,3) and (x,−2) find all x such that the distance between these two points is... (answered by josgarithmetic,greenestamps)
Find the distance between the two points: (-3, 22) and (-14, 35) My incorrect answers (answered by solver91311,Fombitz)
Find all y such that the distance between the points (-9, 8) and (9, y) is... (answered by robertb)
Lessons Course Information Assessments Gradebook Email Discussion Groups ChatRoom... (answered by richard1234)
Determine the value(s) of x such that logx(x−7)+logx(x)=1. Separate multiple... (answered by stanbon)
[ Find all value of x such that the distance between (x,-9) and(3,-5) is 6.... (answered by TimothyLamb)