12)
(intro) Slope is change in y divided by change in x (axes). Here, the y axis is depth and the x axis is hours. So, the slope is change in depth between any two points, divided by the change in hours between the same points. The slope of this line is half a foot depth divided by 2 hours.
a) So, the slope is 0.5 / 2 = 0.25, or 1/4.
b) The graph shows a constant rate of change because the line is straight (it increases at the same speed. If the line was curving, it would not be a constant rate of change).
c) Yes, because the line has a constant rate of change now.
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Step-by-step explanation:
Srry its kinda confusing but I hope it helped
0 = -16t² + 36t + 4
0 = -8t² + 18t + 2 ← Complete the square to solve
-8(t² - 9t/2) = -2
8(t² - 9t/4 + 81/64) = 2 + 81/8
8(t - 9/8)² = 97/8
(t - 9/8)² = 97/64
t - (t = 0)
(h = 0) at:
<span>t = (9 + √97)/8 ≅ 2.356 seconds
</span>
Answer:
405
Step-by-step explanation:
Since
2 : 9 = 90 : X
Then we know
9/2 = X/90
Multiplying both sides by 90 cancels on the right
90 × (9/2) = (X/90) × 90
90 × (9/2) = X
Then solving for X
X = 90 × (9/2)
X = 405
Therefore
2 : 9 = 90 : 405