Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
About 26 and a half acres of land in each section
Answer:
25
Step-by-step explanation:
To find the missing side (in this case, the longest one/hypotenuse), we can use the equation a^2 + b^2 = c^2. By substituting out the variables, we get 7^2 + 24^2 = c^2; this can be simplified to 49 + 576 = c^2. Add, and then we know that 625 = c^2. If c squared is 625, we need to find the square root of 625, which is 25.
Answer:
1: 12 and 48
2: 45 and 15
3: 2 and 58
Step-by-step explanation:
60-12=38
60-15=45
60-2= 58
It’s depends on your grade level if yiu in high school it totally different
