SOLUTION: find the point on the positive y-axis that is a distance 5 from the point P(3,4)

Algebra ->  Points-lines-and-rays -> SOLUTION: find the point on the positive y-axis that is a distance 5 from the point P(3,4)      Log On


   

Question 88579This question is from textbook
: find the point on the positive y-axis that is a distance 5 from the point P(3,4) This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
If the point is one the y-axis, your domain would be x = 0.
(0,y) and (3,4) are your points
distance+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29
5+=+sqrt%28%283+-+0%29%5E2+%2B+%284+-+y%29%5E2%29
25+=+%283%29%5E2+%2B+%284+-+y%29%5E2
25+=+25+-+8y+%2B+y%5E2
0+=+y%5E2+-+8y
0+=+y%28y+-+8%29
y = 0 and y = 8
So: (0,0) and (0,8)
0 is not positive nor negative
Answer: (0,8)