Answer:
Yes
Step-by-step explanation:
-8x-2y<6 (I prefer to convert this into standard form y=mx+b)
-8x+8x-2y<8x+6
-2y/-2>8x+6/-2
y > -4x -3
2 > -4(3) - 3
2 > -12 - 3
2 > -15 True or Yes
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).
Answer:
meter
Step-by-step explanation:
So first six sided polygon is called hexagon.
and the sum of all interior angles in a hexagon is 720°
so if you divide that by six. since it has six interior angles,
the angle of each interior angle will be 120°
as of exterior angle.
*note: the sum of the interior angle and its corresponding angle is always 180°
so if you subtract 120° from 180°
you have 60°
so all exterior angles are 60°
The numbers from which we are to determine the smallest number that can be divided leaving a remainder of 5 are 44, 55, and 220. We have to do the prime factorization of all the numbers to determine their least common multiple (LCM).
Factorization of 44:
44 = 11 x 4 = 11 x 2 x 2
Factorization of 55:
55 = 11 x 5
Factorization of 220:
220 = 11 x 20 = 11 x 5 x 4
Since 220 has all the factors from 55 and 44 then, the least common multiple is 220. Add 5 to the LCM in order to determine the unknown.
<em>ANSWER: 225</em>
