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)
Take the common out of both numerator and denominator and cancel out the terms which are equal.
(8x³ - 2x² - 3x)/(12x²- 9x)
= x(8x² - 2x -3)/3x(4x - 3)
= (8x² - 2x -3)/3(4x - 3)
=(4x-3)(2x+1)/3(4x-3)
= (2x+1)/3
Answer:
3
Step-by-step explanation:
You are correct. The answer is choice B.
The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.
