144=(x+7)^2 take the square root of both sides...
12=x+7 subtract 7 from both sides...
x=5
So the original was a 5m square.
...
255=WL and you are told that W=L+2 so the equation becomes:
255=(L+2)L
255=L^2+2L
L^2+2L-255=0
L^2+17L-15L-255=0
L(L+17)-15(L+17)=0
(L-15)(L+17)=0 Since L>0...
L=15yd, and since W=L+2, W=17yd so
length=15, width=17yd
The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

So, the range is

Answer: 240 gallons
Step-by-step explanation:
From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:
= 1/3 × 360
= 120 gallons
Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:
= 360 - 120
= 240 gallons
Answer:
You have walked
miles
Step-by-step explanation:
In order to add these two fractions, we must find a common denominator. In this case, I used 24

Answer:
The limit of the function as x approaches 1 is ∞
Vertical asymptote; x = 1
Step-by-step explanation:
The graphical approach to evaluating limits involves graphing the function, the graph of the function
is contained in the attachment below.
The red vertical line is the graph of x = 1. As we approach the line x = 1 from the left, the value of the function, that is y becomes large and large indefinitely. That is the value of the function approaches infinity. The same case applies when we approach the vertical line x = 1 from the right.
Also noticeable is the fact that the function approaches the line x = 1 asymptotically. The function gets closer and closer to this line but actually never touches it. Therefore, the line x = 1 is our vertical asymptote of the function given