Saturday

August 23, 2014

August 23, 2014

Posted by **Aldwin** on Wednesday, November 28, 2012 at 10:26am.

Please include the workings, as I would like to be able to perform these problems unassisted in the future (I just have trouble remembering the formulas).

Thank you anyone who answers this question :D

- Math -
**Steve**, Wednesday, November 28, 2012 at 10:39amA point on the y-axis has coordinates (0,y).

The distance from (0,y) to P(3,7) is the diagonal of a rectangle which has sides (3-0) and (7-y)

similarly for Q: the distances are (11-0) and (-6-y)

So,

PR = √(3^2 + (7-y)^2)

QR = √(11^2 + (-6-y)^2)

to have PR=QR, you need

√(3^2 + (7-y)^2) = √(11^2 + (-6-y)^2)

square both sides to get rid of the radicals:

9+(7-y)^2 = 121+(6+y)^2

9+49-14y+y^2 = 121+36+12y+y^2

collect terms (the y^2's go away - yay!)

26y = 99

y = 99/26

so, the point is (0,99/26)

odd answer, but hey, 99/26 is just a number, like 3 or -5.

- Math -
**Steve**, Wednesday, November 28, 2012 at 10:41amoops,

26y = -99, so

y = -99/26

**Related Questions**

math - line segment AB has coordinates (-2, 1) and (6, 3) find the coordinates ...

math - For the line segment ST, S has coordinates (6,2) and T is on the y-axis. ...

Geometry - Point Y lies on line segment XZ, between X and Z. The (x,y) ...

Geometry - line segment ab is the diameter of circle O whose center has ...

Geometry - line segment ab is the diameter of circle O whose center has ...

math - A line segment has an endpoint at (3,2). If the midpoint of the line ...

math - The line segment joining P(-6,7) and Q(5,-2) intersects the y-axis at ...

Algebra and Discrete Geometry - For points X (1,3,5) and (2,-4,6) find: a) the ...

maths - Two points X and Y in the xy plane have coordinates (10,5) and (a,b), ...

Geometry - 1) find the coordinate of the image of point (1,2) translated left 2 ...