Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have
![2(x+y) =2400 \\ x+y=1200 \\ y = 1200 -x](https://tex.z-dn.net/?f=%202%28x%2By%29%20%3D2400%0A%5C%5C%0Ax%2By%3D1200%0A%5C%5C%0Ay%20%3D%201200%20-x%20)
Let A represents area, and area is the product of length and width .
So we get
![A = x y](https://tex.z-dn.net/?f=%20A%20%3D%20x%20y%20)
Substituting the value of y, we will get
![A = x (1200-x)= 1200x -x^2](https://tex.z-dn.net/?f=%20A%20%3D%20x%20%281200-x%29%3D%201200x%20-x%5E2%20)
Second part
The area is maximum at the vertex, and vertex is
![x = - \frac{1200}{2(-1)} = 600 feet](https://tex.z-dn.net/?f=%20x%20%3D%20-%20%5Cfrac%7B1200%7D%7B2%28-1%29%7D%20%3D%20600%20feet%20)
And
![y=1200-x = 1200-600 = 600 feet](https://tex.z-dn.net/?f=%20y%3D1200-x%20%3D%201200-600%20%3D%20600%20feet%20)
And that's the required dimensions .
Answer:
1/24
Step-by-step explanation:
multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.
Answer:
ΔHFG≅ΔSUT
Step-by-step explanation:
You just have to match up the sides and the angle.It's easier to color code them.
For example:
Segment SU would be congruent with HF. (both would be blue, just example color)
Angle U is congruent to angle F (red)
UT congruent to FG (green)
1/3 is greater than 1/5 and 1/4.
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =
![\frac{-1-5}{6--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1-5%7D%7B6--2%7D%20)
= -0.75 ........> accepted choice
For point (2,8):slope =
![\frac{8-5}{2--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8-5%7D%7B2--2%7D%20)
= 0.75 ........> rejected choice
For point (-5,1):slope =
![\frac{1-5}{-5--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%7D%7B-5--2%7D%20)
= 4/3 ........> rejected choice
For point (1,1):slope =
![\frac{1-5}{1--2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%7D%7B1--2%7D%20)
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)