ElectricPavlov

Cross multiply to get

39x-3y = 50x -15y    simplify

12y = 11x     then

x/y = 12/11

70 % off means you pay only 30 % of the original price

.30 * 70 = $................

First calculate the value of cos x             ( sin^2 + cos^2 =1)

then   sin 2x    = 2   sin x cos x

j

p = 58 - j

j + 19 = 3/4 p = 3/4 (58-j)

j + 19 = 43.5 - .75 j

1.75 j = 24.5

j = 14          then    p = 58 - j = 44     

Squares     primes

100               101     

121               

144

169

196               197                       Just add the primes

12 * 12                          x ( 24-x) is a dome shaped parabola....max occurs at x = - b/2a = 12     value of y at this 'x' =12   

The vertex describes the axis of symmetry for this parabola

   vertex = -8,5           vertical axis of symmetry = x = -8

This is the equation of a circle  with center  94 , 9     and radius   = 8

   the shortest distance to the x - axis will be at the bottom of the circle .....distance will be    9 - 8 = 1 unit

      this will be at point    94,1

Use Quadratic Formula    a = 100      b = 20       c = -24   

$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$

to find x = 2/5   and  - 3/5

Assuming that side AB is extended to point D (past point B) so that AD = 17:

    .....but then point "D"  would not lie on side AB ...