Where are the inequalities?
Subtracting is the same as adding, so by subtracting the equations, you get 2x=20, x=10, y: 30-7y=16, 7y=14, y=2, answer:(10,2)
To minimize the cost, we take the straight distance from the refinery to the other side of the river as 2 km. Also, the 7 km will be the distance that has to be traveled by the pipeline in land. The total cost, C, is therefore,
total cost = (2 km)($800,000/km) + (7 km)($400,000 /km)
total cost = $4,400,000
Thus, the total cost of the pipeline is approximately $4,400,000.00.
Answer:
A = ≈4.17 ft²
Step-by-step explanation:
Even though the problem deals with shapes and area, we can use algebra to solve for the missing area of Square C. Gven the following formulas:
A (square) = s², where s = the measure of one side
A (rectangle) = l x w, where l = length and w = width
We can set up equations to solve for the side length of Square C to find the area. Since the area of Square A = 6 ft²:
A = 6 or 6 = s² so √6 = √s² or s = √6
So, the length of Rectangle B is √6 and the area = 5 ft², so we can solve for 'w', which is also the side length of Square C:
A = 5 ft² or 5 = l x w so 5 = √6w and w = 5/√6
Lastly, find the area of Square C:
A = s² or A = (5/√6)(5/√6) or area = ≈4.17 ft²
Answer:
VT = 13 units
Step-by-step explanation:
The diagonals are congruent and bisect each other, that is
RT = US , substitute values
5x - 14 = 2x + 10 ( subtract 2x from both sides )
3x - 14 = 10 ( add 14 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
Thus
RT = 5x - 14 = 5(8) - 14 = 40 - 14 = 26
VT = 0.5 × RT = 0.5 × 26 = 13