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 ...
