Answer: -21
Step-by-step explanation:
11-32
Answer:
y = -(x+4)² +7
Step-by-step explanation:
I find it convenient to factor the leading minus sign from the first two terms, then work with what's left.
... y = -(x² +8x) -9
Now, add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
... y = -(x² +8x +4²) -9 +4²
... y = -(x +4)² +7 . . . . . . . . . rewrite parentheses as a square; collect terms
Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
Answer:
1
Step-by-step explanation:
Since all 5 terms are like terms they can all be combined into 1 term. For example, 3x + 8x + 5x + 4x + 19x = ?. Since they all have the term x they can be combined into 39x. That leaves 1 term.