Answer:
<h2>
m = ¹/₁₄</h2>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = -14x - 1 ⇒ m₁ = -14
-14×m₂ = -1 ⇒ m₂ = ¹/₁₄
So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄
1.
*0.3,0.4,0.7
0.3
+
=
0.09 + 0.16 = 0.49
0.25 = 0.49
<span>that is not true
</span>
2.
*7, 9, 13
49 + 81 = 169
130 = 169
that is not true
3.
*10, 24, 26
100 + 576 = 676
676 = 676
that is true so the answer is c
Answer:
the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
Step-by-step explanation:
Assuming that the area is rectangular shaped, then
Cost = cost of the pine board fencing * length of pine board fencing + cost of galvanized steel fencing * length of galvanized steel fencing
C = a*x + b*y
that is constrained by the area
Area= A= x*y → y= A/x
replacing in C
C = a*x + b* A/x
the minimum cost is found when the derivative of the cost with respect to the length is 0 , then
dC/dx = a - b*A/x² = 0 → x = √[b/a*A]
replacing values
x = √[b/a*A] = √[($2/ft/$5/ft)*912 ft²] = 19.1 ft
then for y
y= A/x = 912 ft²/19.1 ft = 47.74 ft
then the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft