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White raven [17]
3 years ago
6

I need help solving this problem: 5x+8+3x=8+7x-6

Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Hope this will help u....

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A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
2 years ago
pls help ASAP this is due in 10 min!!
Angelina_Jolie [31]
My thoughts and prayers for the family of us and the family who lives with the family in our family and we are in our lives and I hope that we can get a hold with him we can just go to the river with the kids in a few minutes and we will have a great time together
3 0
2 years ago
How do I expand the following equation with the binomial theorem?
Vsevolod [243]

Answer:

16x^4+32x^3+24x^2+8x+1

Step-by-step explanation:

(2x+1)^4

(2x+1)*(2x+1)*(2x+1)*(2x+1)

4 0
2 years ago
Can I get help with this ​
LUCKY_DIMON [66]

Answer:

i cant awnser it when ist sideways

Step-by-step explanation:

8 0
3 years ago
The Circle with a center (10,1) and the radius 5 has equation
liberstina [14]
<h3>Answer:  (x-10)^2 + (y-1)^2 = 25</h3>

============================================

Explanation:

The general template of a circle is

(x-h)^2 + (y-k)^2 = r^2

Where,

  • (h,k) is the center
  • r is the radius

We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.

r = 5 is the given radius.

-----

Plug the values h = 10, k = 1, r = 5 into the equation to get:

(x-h)^2 + (y-k)^2 = r^2

(x-10)^2 + (y-1)^2 = 5^2

(x-10)^2 + (y-1)^2 = 25

5 0
2 years ago
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