Answer:
Step-by-step explanation:
-2y + 9 = -x
x - 2y = -9
Plug in each set of points and see if the equation holds true.
A. 2 - 2(5) = ?
B. -3 - 2(15) = ?
C. 4 - 2(-1) = ?
I don't think that any of them work.
This is really easy.
x-4=8
what it really is asking you is the value of x
Isolate x
take 4 to the other side. not -4 but positive 4
x=12
The area of a rectangle can be directly calculated using
the formula:
A = l * w
Where l is the length or the depth while w is the width
Therefore,
A = 50 feet * 100 feet
<span>A = 5000 square feet</span>
The commutative property only works under addition and multiplication properties.
(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))
Recall that
tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>)
so cos²(<em>θ</em>) cancels with the cos²(<em>θ</em>) in the tan²(<em>θ</em>) term:
(sin²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))
Recall the double angle identity for cosine,
cos(2<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
so the 1 in the denominator also vanishes:
(sin²(<em>θ</em>) - 1) / (2 cos²(<em>θ</em>))
Recall the Pythagorean identity,
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1
which means
sin²(<em>θ</em>) - 1 = -cos²(<em>θ</em>):
-cos²(<em>θ</em>) / (2 cos²(<em>θ</em>))
Cancel the cos²(<em>θ</em>) terms to end up with
(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>)) = -1/2
