9514 1404 393
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
The augmented matrix of coefficients for these equations is ...
![\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D2%26-5%267%5C%5C-2%264%26-6%5Cend%7Barray%7D%5Cright%5D)
The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...
![\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%260%261%5C%5C0%261%26-1%5Cend%7Barray%7D%5Cright%5D)
This tells you the solution is (x, y) = (1, -1).
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
</span>
Answer:
y=-x/2
Step-by-step explanation:
m=(4-1)/(-8-(-2))
m=3/-6
m=-1/2
b=y-mx
b=1-(-1/2*(-2))
b=1-1
b=0
y=-x/2
Answer:
the answer is true.
Step-by-step explanation:
all 5 pointed stars have point sym
Answer:
number one. 186
number two. 36
Step-by-step explanation:
FOR NUMBER ONE:
the area of a trapezoid formula is 
where a and b are the bases and h is the height. so we have to add in the numbers into the formula
= <em>81</em>
and the paralellogram formula is b×h. where b is the base and h is height
15 × 7 = <em>105</em>
so the area of the figure is 81 + 105 is 186 in^2
FOR NUMBER TWO:
the area of the square formula is 
. where s is the side
4^2 = <em>16</em>
and for the paralellogram is b × h
4 × 5 = <em>20</em>
so the area of the figure is 16 +20 = 36 in^2
hope this helps! ;)
