Question 56885This 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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the point on the positive y-axis that is a distance 5 from the point P(3,4).
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Draw the figure. Label the point you are looking for as (0,y).
EQUATION:
distance = sqrt [(0-3)^2 + (y-4)^2]
5=sqrt[9+(y-4)^2]
Square both sides to get:
25= 9+(y-4)^2
16=(y-4)^2
y-4=4 or y-4=-4
y=8 or y=0
The point is (0,8) or (0.0)
Both points satisfy the distance requirement.
Cheers,
Stan H.
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