How do i solve and what is the answer
2 answers:
Answer:
I and III
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
• Parallel lines have equal slopes
I y = 4x → m = 4
II
y = - x + 2 → m = -
III
rearrange 12x - 3y = 6 into slope- intercept form
subtract 12x from both sides
- 3y = - 12x + 6 ( divide all terms by - 3 )
y = 4x - 2 → m = 4
IV
rearrange into slope- intercept form
4(y + 6) = x - 3
4y + 24 = x - 3 ( subtract 24 from both sides )
4y = x - 27 ( divide all terms by 4 )
y = x -
→ m =
I and II have the same slope, hence are parallel lines
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The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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