Question 475425
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi
Find the values of k for which the line {{{y + kx = 8}}} is a tangent to the curve {{{(x)^(2) + 4y = 20}}}.
{{{(x)^(2) + 4y = 20}}} OR y = -.25x^2 +5 Parabola V(0,5)
 y = -kx + 8   Line would be tangent to the Parabola at Pt(3,3)
 3 = -k*3 + 8   k = 5/3
{{{drawing(300,300,   -10,10,-10,10, grid(1),
circle(3, 3,0.3),
graph( 300, 300, -10,10,-10,10,  0,(-5/3)x+8, 5 - .25x^2 )))}}}