Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
Given:
The given expression is:

To find:
The value of the given expression at
.
Solution:
We have,

Substituting
, we get
![\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5Csin%20%28-45%29-4%5Csin%20%5B4%28-45%29%5D%7D%7B%5Csin%20%5B5%28-45%29%5D%7D)



On substituting
, we get,




Therefore, the value of the given expression at
is
.
Answer:
0.27659574
Step-by-step explanation: