Answer:
2/3 per brother
Step-by-step explanation:
2/3 plus 2/3 plus 2/3 is 6
9514 1404 393
Answer:
![\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-2%5C%5C0%26-3%265%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The rotation matrix for 90° CCW is ...
![\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Then the rotated coordinates are ...
![\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%5Ccdot%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-3%265%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-2%5C%5C0%26-3%265%5Cend%7Barray%7D%5Cright%5D)
_____
The transformation of each ordered pair is ...
(x, y) ⇒ (-y, x)
15x12=180
180$ simple unless u have a different way to do it
You have to translate the statement into a mathematical expression...
Six times the number of cattle, if we let c be the number of cattle is:
6c
Less 87 means to subtract 87 so
6c-87
is 999 means
=999
so all together we have:
6c-87=999 now we need to isolate the variable by itself on one side of the equal sign....
6c-87=999 add 87 to both sides
6c=1086 divide both sides by 6
c=181
So there are 181 cattle.
Answer:
29th term = 76.4
Step-by-step explanation:
Total terms = 55
aₙ = a + (n - 1) d
5th term = a₅ = 14
a + (5 - 1)*d = 14
a + 4d = 14 --------------------(I)
last term = a₅₅ = 144
a + (55 - 1)d = 144
a + 54d = 144----------------(II)
Multiply equation (II) by (-1)
(I) a + 4d = 14
(II)*(-1) <u>-a - 54d = -144</u> {Now add and thus a will be eliminated}
-50d = -130
d = -130/-50
d = 2.6
Plug in d = 2.6 in equation (I)
a + 4* 2.6 = 14
a + 10.4 = 14
a = 14 - 10.4
a = 3.6
29th term = a₂₉ = 3.6 + (29 - 1)* 2.6
= 3.6 + 28* 2.6
= 3.6 + 72.8
a₂₉ = 76.4
