Answer:18 , for the first one
Step-by-step explanation: because 10+8= 18
34 is the answer to the the question
<u>ANSWER </u>
and ![y=\frac{1}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D)
<u>EXPLANATION</u>
Given;
![4x-12y=1](https://tex.z-dn.net/?f=4x-12y%3D1)
and
![6x+4y=4](https://tex.z-dn.net/?f=6x%2B4y%3D4)
The augmented matrix of the two linear equation is given by;
![\left[\begin{array}{ccc}4&-12|&-1\\6\:&\:\:\:4|&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-12%7C%26-1%5C%5C6%5C%3A%26%5C%3A%5C%3A%5C%3A4%7C%264%5Cend%7Barray%7D%5Cright%5D)
We now perform row operations;
.
This gives us
![\left[\begin{array}{ccc}1&-3|&\frac{-1}{4}\\6\:&\:\:\:4|&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-3%7C%26%5Cfrac%7B-1%7D%7B4%7D%5C%5C6%5C%3A%26%5C%3A%5C%3A%5C%3A4%7C%264%5Cend%7Barray%7D%5Cright%5D)
![R_2-6R_1 \rightarrow R_2](https://tex.z-dn.net/?f=R_2-6R_1%20%5Crightarrow%20R_2)
![\left[\begin{array}{ccc}1&-3|&\frac{-1}{4}\\0\:&\:\:\:22|&\frac{11}{2}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-3%7C%26%5Cfrac%7B-1%7D%7B4%7D%5C%5C0%5C%3A%26%5C%3A%5C%3A%5C%3A22%7C%26%5Cfrac%7B11%7D%7B2%7D%5Cend%7Barray%7D%5Cright%5D)
![\frac{1}{22}R _2 \rightarrow R_2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B22%7DR%20_2%20%5Crightarrow%20R_2)
![\left[\begin{array}{ccc}1&-3|&\frac{-1}{4}\\0\:&\:\:\:1|&\frac{1}{4}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-3%7C%26%5Cfrac%7B-1%7D%7B4%7D%5C%5C0%5C%3A%26%5C%3A%5C%3A%5C%3A1%7C%26%5Cfrac%7B1%7D%7B4%7D%5Cend%7Barray%7D%5Cright%5D)
![R_1+3R_2 \rightarrow R_1](https://tex.z-dn.net/?f=R_1%2B3R_2%20%5Crightarrow%20R_1)
![\left[\begin{array}{ccc}1&0|&\frac{1}{2}\\0\:&\:\:\:1|&\frac{1}{4}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%7C%26%5Cfrac%7B1%7D%7B2%7D%5C%5C0%5C%3A%26%5C%3A%5C%3A%5C%3A1%7C%26%5Cfrac%7B1%7D%7B4%7D%5Cend%7Barray%7D%5Cright%5D)
Hence
and ![y=\frac{1}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D)
Answer:
Step-by-step explanation:
hello :
f(x) = (x+3)(x+6)(x+8)
Answer:
D.) 11.8 cm
Step-by-step explanation:
The short side has length ...
5·sin(30°) = 2.5
The long side has length ...
5·cos(30°) ≈ 4.33
The sum of all side lengths is ...
5 + 2.5 + 4.33 = 11.83 . . . . cm
The perimeter is about 11.8 cm.
_____
The mnemonic SOH CAH TOA can help you remember the relationship between trig functions and side lengths:
Sin = Opposite/Hypotenuse ⇒ Opposite = Hypotenuse × Sin
Cos = Adjacent/Hypotenuse ⇒ Adjacent = Hypotenuse × Cos