Calculate the slope of the line passing through the two colored points below. (1,4) (-1,-1)
1 answer:
Answer:
Slope =
Step-by-step explanation:
We can define the slope as the "change in y values" divided by the "change in x values".
By change in, we mean, 2nd point MINUS the first point values.
The points given is:
(1,4) & (-1,-1)
<u>Change in y value:</u>
-1 - 4 = -5
<u>Change in x value:</u>
-1 -1 = -2
Slope is -5/-2 = 5/2
There is no answer choice. The correct answer is 5/2
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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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