Answer:
GB
Step-by-step explanation:
Given:
BC = BD
DE is ⊥ to AC.
GB is ⊥ CD.
we need to find the perpendicular bisector from the given figure.
Solution:
By Definition of Perpendicular bisector which states that;
" If a line which is perpendicular to the segment such that it bisects the segment in 2 equal parts then it is said to be perpendicular bisector."
From the above figure we can see that;
Line GB is is ⊥ segment CD.
Also BC = BD (given)
Hence Line GB is a Perpendicular bisector.
Answer:
a) Minimize ![Cost=90x_1+120x_2](https://tex.z-dn.net/?f=Cost%3D90x_1%2B120x_2)
subject to
![0.2x_1+0.3x_2\geq8](https://tex.z-dn.net/?f=0.2x_1%2B0.3x_2%5Cgeq8)
![0.2x_1+0.25x_2\geq6](https://tex.z-dn.net/?f=0.2x_1%2B0.25x_2%5Cgeq6)
![0.15x_1+0.1x_2\geq5](https://tex.z-dn.net/?f=0.15x_1%2B0.1x_2%5Cgeq5)
![x_1\geq0\\x_2\geq0](https://tex.z-dn.net/?f=x_1%5Cgeq0%5C%5Cx_2%5Cgeq0)
b) Attached
c) The optimum value that minimizes cost is x1=28 and x2=8.
Step-by-step explanation:
The objective function is the cost of extraction and needs to be minimized.
The cost of extraction is the sum of the cost of extraction of ore type 1 and the cost of extraction of ore type 2:
![Cost=90x_1+120x_2](https://tex.z-dn.net/?f=Cost%3D90x_1%2B120x_2)
Being x1 the tons of ore type 1 extracted and x2 the tons of ore type 2.
The constraints are the amount of minerals that need to be in the final mix
Copper:
![0.2x_1+0.3x_2\geq8](https://tex.z-dn.net/?f=0.2x_1%2B0.3x_2%5Cgeq8)
Zinc
![0.2x_1+0.25x_2\geq6](https://tex.z-dn.net/?f=0.2x_1%2B0.25x_2%5Cgeq6)
Magnesium
![0.15x_1+0.1x_2\geq5](https://tex.z-dn.net/?f=0.15x_1%2B0.1x_2%5Cgeq5)
Of course, x1 and x2 has to be positive numbers.
![x_1\geq0\\x_2\geq0](https://tex.z-dn.net/?f=x_1%5Cgeq0%5C%5Cx_2%5Cgeq0)
The feasible region can be seen in the attached graph.
The orange line is the magnesium constraint. The red line is the copper constraint. The green line is the zinc constraint.
The optimal solution is found in one of the intersection points between two constraints that belong to the limits of the feasible region.
In this case, the cost can be calculated for the 3 points that satisfies the conditions.
The optimum value that minimizes cost is x1=28 and x2=8.
Answer:
c
Step-by-step explanation:
d=rt
d/t=r
First off need to plot the equation on the graph..
After doing this you determine that the slope of the line it is perpendicular to is 3/7 and it has a y-intercept of 36/7.
Slope intercept is y= mx+b
"m" being the slope and "b" being your y-intercept.
Well..
This isn't your final answer..
All you have to do is reverse the slope by making it negative to make it perpendicular to the line.
So..
Final Answer is: y= -3/7x+36/7 or y= -3/7x+5.142 (rounded to the nearest thousandth).