The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
D E F
Step-by-step explanation:
Have a good day :)
You can rent a paddleboat at Lake Isabel. The cost is $15 for the first hour - then $9 for each hour after that. Use this information to complete the following: Write an equation in slope intercept form that represents the cost (y) of the rental based on the number of hours (x) you rent it. b) What is the y intercept of your equation? c) What does this mean in the context of the situation? d) What is the slope of your equation? e) What does this number mean in the context of the situation? f) Graph the line that is represented by your equation. Make sure to clearly label the axis. g) How much will it cost to rent the paddleboat for 4 hours? Show how you found your answer algebraically. Also show and explain where this information can be found on your graph.
Answer:
no solution
Step-by-step explanation:
2+2x=19+2x
2x-2x=19-2
0=17
To “cancel out the the 8 you would multiply by 8 on both sides and then you would be left with 48=-w. With that you would find the opposite of 48 and w and w=-48
