Question 826151
Use the perpendicular distance formula to determine how many times the line, 
3x-5y+16=0 intersects the circle x^2+y^2=5.
----------------
The circle is centered at the Origin.
Find the distance from (0,0) to the line.
Slope of the line is 3/5
Slope perpendicular is -5/3
Line perpendicular is y = -5x/3
Intersection of the lines is:
3x-5y+16=0
3x + 25x/3 = -16
34x = -48
x = -24/17
---
y = 40/17
Distance from (0,0) to (-24/17,40/17) = {{{sqrt(2176)/17}}} =~ 2.744
Distance is > r --> no intersection