Answer:
0 = $0.00
1 = $3.00
2 = $6.00
3 = $9.00
Step-by-step explanation:
1. -2x + 3y + 5
A. -x + -x + y + y + y + 1 + 1 + 1 + 1 + 1
B. -x + -x + 2y + y + 4 + 1
D. -5x + 3x + 4y - y + 4 + 1
2. -$40 + 100 = $60 - $50 = $10
Cindy currently has $10 left in her bank account.
Answer:
x=10
Step-by-step explanation:
By definition of tangent,
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
Recall the double angle identities:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):
sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))
and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.
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We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get
sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5
Then
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)
tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2<em>θ</em>) = 24/7
Answer:
The last/bottom graph
Step-by-step explanation:
I would assume it the bottom on because when you reflect off the y-axis, you don't reflect of the y-axis line. You reflect of the x-axis, it is weird.
