Posted by Connie on Friday, April 25, 2008 at 2:54pm.
two circles whose equations are (x3)^2+(y5)^2=25 and (x7)^2+(y5)^2=9 intersect in two points. What is the equation of the line passing through these two points?
Can anyone please give me some ideas how to do it without graphing it out? THANKS A LOT!

MATH  Damon, Friday, April 25, 2008 at 3:32pm
The centers are at (3,5) and at (7,5) along the horizontal line y = 5 and 73 = 4 apart
left radius = 5
right radius = 3
so
the points lie on vertical line x = something an equal distance above and below y = 5
so
triangle
base = 4 along y = 5 line
left leg = 5
right leg = 3
let's use law of cosines to find the angle on the left, between the y = 5 line and the long side length 5
3^2 = 5^2 + 4^2  2*5*4 cos A
9 = 25 + 16  40 cos A
32 = 40 cos A
A = 36.87 degrees
now the distance from x = 3 to our desired vertical line is
5 cos A which is 5 (32/40) = 4
so our line is
x = 3 + 4 = 7
which we could have said earlier seeing that our triangle is
3, 4, 5 and therefore a right triangle

MATH  Jordan, Friday, April 25, 2008 at 9:32pm
What do you mean?

MATH  Jordan, Friday, April 25, 2008 at 9:32pm
What do youm mean?
Answer This Question
Related Questions
 maths pleaaaase  The point X and Y are 8cm apart Draw a scale drawing of the ...
 algebra  how would i find an equation of a line that goes through points(1,6) ...
 help!  Can you please give me one of them so I cansolve for the other one?...
 Algebra  Can someone check my answers? 1. Write the equation of the line that ...
 Algebra  Wrtie an equation of a line passing through (6,10) and (6,6 y= mx + b...
 Math Question  Laura was given two points (3,2) and (2,4) and was asked to ...
 intermediate algebra  Write the equation of the line: The points are at (8,6...
 Math Quadratics Help!  I have a test tomorrow with a few sample questions that...
 Algebra  Consider the points (3, –1) and (9, 2). (a) State the midpoint of the ...
 Math  Quadratics & Analytical Geometry  I have a test tomorrow with a few ...
More Related Questions