Answer:
3.32ft
Step-by-step explanation:
The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.
Using Pythagoras Theorem:
Hypotenuse²=Adjacent²+Opposite²
6²=5²+x²
x²=36-25
x²=11
x=√11=3.32 ft.
The wires are attached 3.32 ft from the base of the pole on the ground
4x + 2y = 8 (1)
8x + 4y = -4y (2)
A) Two lines are parallel if they have the same gradient
- putting both equations into the gradient- intercept form ( y = mx + c where m is the gradient)
(1) 4x + 2y = 8
2y = 8 - 4x
y = -2x + 4
(2) 8x + 4y = -4y
<span> </span>8x = -4y - 4y
y =
y = -x
<span>
Thus the gradient of the two equations are different and as such the two lines are not parallel</span>
B) When two lines are perpendicular, the product of their gradient is -1
p = (-2) * (-1)
p = 2
<span> ∴
the two lines are not perpendicular either.</span>
Thus these lines are SKEWED LINES
X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000
x = 125000/p^3
The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3
Therefore the price that will yeaild maximum profit is $3.
Answer:
y = 4
Step-by-step explanation:
Make equal ratios. y 10 4
=
x 22.5 9
If you divide 10 and 22.5, you get 0.44 repeating. If you divide 4 and 9, you will also get 0.44 repeating.
