Answer:
390 m (perpendicular to river) x 780 m (parallel to river)
Step-by-step explanation:
Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.
The total area and length of fence required are given by:
Rewriting the length of fence as a function of only x:
The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:
If x = 390 m, then:
The dimensions that will use the least amount of fencing are 390 m x 780 m
Which number, when rounded to the nearest whole number and to the nearest tenth, rounds to the same value?
1.63
5.46
4.95
2.12
Can you help ?
Step-by-step explanation:
Given that,
Directrix, d= -5, and eccentricity, e = 2.
The polar equation of the conic is given by :
![r=\dfrac{ed}{1-e\cos\theta}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bed%7D%7B1-e%5Ccos%5Ctheta%7D)
Put all the values,
![r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B-5%5Ctimes%202%7D%7B1-2%5Ccos%5Ctheta%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-10%7D%7B1-2%5Ccos%5Ctheta%7D)
As e>1, it is a hyperbola. Hence, this is the required solution.
X=-3X=2 —> move the variable to the left handed side and change its sign
-2x=2 —> collect like terms
Divide both sides of the equation by -2 and your answer is x=-1
Answer:
Step-by-step explanation:
D. 64 square units