X + k y = 1
k x + y = 1 / * ( - k )
----------------
x + k y = 1
- k² x - k y = - k
--------------------
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.
Answer:
907.46cm
Step-by-step explanation:
Area of Cirlce = πr^2
R= 17
R^2= 289
289 x 3.14 = 907.46
907.46cm
Answer:
11
Step-by-step explanation:
First, order the numbers in the given set from least to greatest:
8 , 9 , 9 , 10 , 12 , 14 , 15 , 15
The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.
In this case, the middle numbers are 10 & 12:
Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:
(10 + 12)/2 = (22)/2 = 11
11 is your median.
~
Answer:
The answer is 1 1/2 < 2
Step-by-step explanation:
If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5
Answer:
x= 42
Step-by-step explanation:
x/2+9=30
x+18=60
x=60-18
x= 42