A. Always
These lines<span> are </span>perpendicular<span> since their slopes are negative reciprocals.</span>
Sample space: H1, H2, H3, H4, T1, T2, T3, T4
All outcomes if the card is three: H3, T3
I was unclear about the last two parts of the question.
Step-by-step explanation:
f(x) = 4x + 1
g(x) = x² - 5
(f+g)(x) = f(x) + g(x)
= (4x + 1) + (x² - 5)
= x² + 4x + (1 - 5)
= x² + 4x - 4
Option → C
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Small plane circles the airport the angle of depression would be 180