Answer:
See Below.
Step-by-step explanation:
We want to prove the trigonometric identity:
To start, let's simplify the right side. Recall the Pythagorean Identity:
Therefore:
Substitute:
Split:
Therefore, our equation becomes:
From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:
So:
Substitute:
Rewrite:
Recall that tan(θ) = sin(θ)/cos(θ). So:
Simplify:
Simplify:
Hence proven.
Answer:
Sophie factored completely.
Carlos did not factor out a 2 out of his last term
Step-by-step explanation:
-4x² − 10x + 6
Sophie factored it as -2(2x − 1)(x + 3) and Carlos factored it as (x + 3)( -4x + 2).
If you look at the last term in Carlos
(x + 3)( -4x + 2)
You can factor out a -2
(x+3) (-2)(2x-1)
It is not factored completely with the negative two inside the parentheses
He could also have factored out a 2
(x+3) (2)(-2x+1)
I like having a positive x so I use the -2
Either would be acceptable.
2nd one. -5 > -7 when dealing with inequalities there is usually only one correct answer unless a variable is present
11. P=[2(x+y)]3 = 6(x+y) or 6x+6y
12.A=(x+3)(y+3) or xy+ 3x + 3y + 9