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nadya68 [22]
3 years ago
5

How to tell whether lines are parallel perpendicular or neither?

Mathematics
1 answer:
julsineya [31]3 years ago
6 0
The way they are turned
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Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr
sattari [20]
\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y

\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
1/3(x+4)=20 need help
sukhopar [10]


1/3(x+4)=20

1/3x+4/3=20

1/3x=56/3

x= (56/3) / (1/3)

x= 56

5 0
3 years ago
Read 2 more answers
Find the condition that one root of the quadratic equation may be 1 more than the other.
Eddi Din [679]
<span>Let p, np be the roots of the given QE.So p+np = -b/a, and np^2 = c/aOr (n+1)p = -b/a or p = -b/a(n+1)So n[-b/a(n+1)]2 = c/aor nb2/a(n+1)2 = cor nb2 = ac(n+1)2
Which will give can^2 + (2ac-b^2)n + ac = 0, which is the required condition.</span>
4 0
3 years ago
Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers o
hoa [83]

Answer:

Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers of book copies sold? Beth sold half the number of book copies that Rodney sold.

Rodney sold half the number of book copies that Beth sold.

Beth sold twice the number of book copies that Rodney sold.

Rodney sold the same number of book copies that Beth sold.

Step-by-step explanation:

5 0
3 years ago
The cost of producing x units of a product is C dollars, where C is given by the function C = 0.25x2 - 80x + 300. What is the co
horrorfan [7]
300.50 (assuming the first x means multiplication )
6 0
3 years ago
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