SOLUTION: The abscissa of a point is two-fifths of its ordinate. Find the point if it is 5 units from (-2,2).

Algebra.Com
Question 924394: The abscissa of a point is two-fifths of its ordinate. Find the point if it is 5 units from (-2,2).
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Assume that the point is (x,y).
"abscissa of a point is two-fifths of its ordinate"

Then use the distance formula,


Substituting,






Two solutions:


Then,

(2,5)
.
.



Then,

(-34/29,-85/29)
.
.
.
RELATED QUESTIONS

The abscissa of a point is two-fifths of its ordinate. Find the point if it is 5 units... (answered by TimothyLamb)
The ordinate of a point which is √29 units from (5,1) is twice its abscissa. Find... (answered by sachi)
A point whose abscissa and ordinate are equal is square root of 10 units from (-1, -3).... (answered by Alan3354)
the abscissa of a point p is -6 and its distance from the point q(1,3) is √74. find (answered by stanbon)
Find a point having ordinate 5 which is at a distance of 5 units from the point (2,... (answered by ewatrrr)
A point moves on the parabola y^2 = 8 in such a way that the rate of change of the... (answered by Alan3354)
a line of slope 3 passes through the point (7,10). if a point on the line has an abscissa (answered by josgarithmetic)
a point moves on the parabola y^2=16x in such a way that the rate of change of the... (answered by ikleyn)
A line with slope 1/5 passes through (6, 3). If the abscissa of a point on the line is... (answered by Fombitz)