24 because when you plug in 0 for both x and y:
0=12(0)+24
12*0=0, leaving you with 24.
Supplementary angles must add to 180 degrees. Let x and y be the measure of the two angles.
y= 6x+5
x+y=180
Substitute y
x+6x+5=180
7x+5=180
7x=175
x=25
Plug the value of x in
25+y=180
y=155
Final answer: 155 degrees
Let the side of the square base be x, and the height of the box be h.
<span>The material of the base is x^2, and the material of the four sides is 4xh. </span>
<span>4000 = hx^2 </span>
<span>h = 4000/x^2 </span>
<span>The total material is </span>
<span>M = x^2 + 4x(4000/x^2) = x^2 + 16000/x </span>
<span>Take the first derivative of M and set equal to 0. </span>
<span>M' = 2x - 16000/x^2 = 0 </span>
<span>Multiply by x^2: </span>
<span>2x^3 = 16000 </span>
<span>x^3 = 8000 </span>
<span>x = 20; h = 10; M = 1200</span>
x = 39 is the answer I think
