This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
![A = wl](https://tex.z-dn.net/?f=A%20%3D%20wl)
w(2w + 3) = 9
From this, we get that:
![l = 2w + 3, A = 9](https://tex.z-dn.net/?f=l%20%3D%202w%20%2B%203%2C%20A%20%3D%209)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
In this question:
![w(2w+3) = 9](https://tex.z-dn.net/?f=w%282w%2B3%29%20%3D%209)
![2w^2 + 3w - 9 = 0](https://tex.z-dn.net/?f=2w%5E2%20%2B%203w%20-%209%20%3D%200)
Thus a quadratic equation with ![a = 2, b = 3, c = -9](https://tex.z-dn.net/?f=a%20%3D%202%2C%20b%20%3D%203%2C%20c%20%3D%20-9)
Then
![\Delta = 3^2 - 4(2)(-9) = 81](https://tex.z-dn.net/?f=%5CDelta%20%3D%203%5E2%20-%204%282%29%28-9%29%20%3D%2081)
![w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3](https://tex.z-dn.net/?f=w_%7B2%7D%20%3D%20%5Cfrac%7B-3%20-%20%5Csqrt%7B81%7D%7D%7B2%2A2%7D%20%3D%20-3)
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958
Answer: I think it should be a: 1/4 inch
Step-by-step explanation:
Answer:
1,000
Step-by-step explanation:
47 to 0.047 moves 3 places
47, 4.7, 0.47, 0.047
this means that the power of then used should have 3 0's
making the power of ten 1,000
Answer:
the answer is 3 feet
Step-by-step explanation:
We can use the volume formula, V =1/2 bhl to find the height of the tent
the volume is
. The base is 4 and the length is 6 feet
36=1/2 ⋅4⋅h⋅6
36=12h
3=h
The height of <em>the tent is 3 feet.</em>
The answer is an average rate of change of 110 more dollars in her account per week. You find this by first subtracting the starting amount of 250 from the end amount of 800 that equals 550. then you divide that number by five, the number of weeks, to get the average rate of change.