
To solve for
, we need to isolate it on one side of the equation.
The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.
Subtract 32 from both sides of the equation.

Divide both sides of the equation by
.

The answer is c, y=2. if you look at the graph you can see that where x=-2 the line intersects the y axis at +2.
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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Answer:
y = 1/2x -1.5
Step-by-step explanation:
The equation of a line is typically written as y = mx + b.
m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.
Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.
y = 1/2x + b
In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.
-3 = 1/2(-3) + b
One half of -3 is -1.5.
-3 = -1.5 + b
Add -1.5 to both sides of the equation.
-3 = -1.5 + b
+1.5 +1.5
-1.5 = b
Since we found the y-intercept, we can now place it into our equation.
y = 1/2x -1.5 and that's the answer!