The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
_____
The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
Answer: The missing length is 40 m.
Step-by-step explanation:
30^2 + b^2 = 50^2
900 + b^2 = 2500
-900 -900
b^2 = 1600
b= 40
First you want to subtract 36
so it looks like this ![\sqrt[4] {(4x+164)^3}=64](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%20%7B%284x%2B164%29%5E3%7D%3D64)
Then you want to cancel out the square root 4 by raising that to the 4th power (you must do this to both sides)
which is equal to 
Then you take the cube root to both sides [tex]\sqrt[3]{(4x+164)^3}=\sqrt[3]{16777216}[tex]
Then you end up with the equation 4x+164=256
Then subtract 164 to both sides
4x=92
then divide 92 by 4
Then you get x=23
9514 1404 393
Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.