X + k y = 1
k x + y = 1 / * ( - k )
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x + k y = 1
- k² x - k y = - k
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x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) , 1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.
The answer is 20 not 5 or 15 or 10
The labeled point in which it will be rotated around
The length of the parking lot is 89m.
To find the length, we can abide by the following formula:
L = A/W
where L is the length, A is the area, and W is the width.
Given this formula, we can set up an equation:
7,031 / 79 = 89
The length of the parking lot is 89 meters.
Answer:
18 dollars
Step-by-step explanation:
Marginal cost can be defined as the additional cost to produce every additional unit of a certain good. In mathematical terms;
Marginal cost = change in cost / change in quantity
For seven jackets, we have to find the difference between the cost of seven jackets and the cost of six jackets as follows
$101 - $83 = $18
Since the change in quantity is one, our marginal cost comes to $18.
