If you were to plot the function y=-x+6, both functions meet at the point (4,2)
<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>
Answer:
"vertical" (y axis), "lateral" (x axis), and "horizontal" (z axis)
Step-by-step explanation:
composite number means a number that can be formed by multiplying two smaller numbers
3n-1 for n=2, 3n-1=3*2-1=6-1=5
3n-1 for n=10, 3n-1=3*10-1=30-1=29
5 is composite because 2*2.5=5
29 is composite because 5*5.8=29
