Answer is -7/2
Gradient or slope is found by change in y over change in x.
Or
(y2 - y1) over (x2 - x1)
So
(-2 -5) over (4-2)
= -7/2
Answer:
C≅17.28
Step-by-step explanation:
Step one:If you divide 11 by 2 it would give you 5.5
Step two:Then use π which is 3.14
Step three:Multiply 5.5*3.14 which gives you 17.27 round to the nearest tenth would be 17.28
Hope it helps!
The mean is the average, so add all the numbers and divide by 7 (7 terms).
-14 is the sum, divided by 7 = -2
The mean is -2.
Answer:
![310\text{ feet and }210\text{ feet}](https://tex.z-dn.net/?f=310%5Ctext%7B%20feet%20and%20%7D210%5Ctext%7B%20feet%7D)
Step-by-step explanation:
GIVEN: A farmer has
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be
and
perimeter of rectangular pen ![=2(x+y)=520\text{ feet}](https://tex.z-dn.net/?f=%3D2%28x%2By%29%3D520%5Ctext%7B%20feet%7D)
![x+y=260](https://tex.z-dn.net/?f=x%2By%3D260)
![y=260-x](https://tex.z-dn.net/?f=y%3D260-x)
area of rectangular pen ![=\text{length}\times\text{width}](https://tex.z-dn.net/?f=%3D%5Ctext%7Blength%7D%5Ctimes%5Ctext%7Bwidth%7D)
![=xy](https://tex.z-dn.net/?f=%3Dxy)
putting value of ![y](https://tex.z-dn.net/?f=y)
![=x(260-x)](https://tex.z-dn.net/?f=%3Dx%28260-x%29)
![=260x-x^2](https://tex.z-dn.net/?f=%3D260x-x%5E2)
to maximize ![\frac{d \text{(area)}}{dx}=0](https://tex.z-dn.net/?f=%5Cfrac%7Bd%20%5Ctext%7B%28area%29%7D%7D%7Bdx%7D%3D0)
![260-2x=0](https://tex.z-dn.net/?f=260-2x%3D0)
![x=130\text{ feet}](https://tex.z-dn.net/?f=x%3D130%5Ctext%7B%20feet%7D)
![y=390\text{ feet}](https://tex.z-dn.net/?f=y%3D390%5Ctext%7B%20feet%7D)
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen ![=310\text{ feet}](https://tex.z-dn.net/?f=%3D310%5Ctext%7B%20feet%7D)
width of rectangular pen ![=210\text{ feet}](https://tex.z-dn.net/?f=%3D210%5Ctext%7B%20feet%7D)
Maximum area of rectangular pen ![=310\times210=65100\text{ feet}^2](https://tex.z-dn.net/?f=%3D310%5Ctimes210%3D65100%5Ctext%7B%20feet%7D%5E2)
Hence maximum area of rectangular pen is
and dimensions are ![310\text{ feet and }210\text{ feet}](https://tex.z-dn.net/?f=310%5Ctext%7B%20feet%20and%20%7D210%5Ctext%7B%20feet%7D)