Greg's ceiling fan rotates 30 degrees and then stops. How many more times does it need to rotate to make a full rotation?
1 answer:
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At this point of the Earth's surface, the Stratosphere layer is at most at 50 km, and at least at 16 km altitude.
If y represents a height which is in the Stratosphere layer, then we know that y is at least 16 km, which is represented by
,
and y is at most 50 km, which is represented by
.
Combining these 2 inequalities we have:
, where y is in km
If y represents a height which is in the Stratosphere layer, then we know that y is at least 16 km, which is represented by
and y is at most 50 km, which is represented by
Combining these 2 inequalities we have:
Answer:
y = -⅔x + ²²/₃
Step-by-step explanation:
1. Calculate the slope of EF
Assume E is at (-2, 5) and F is at (1, 3).
m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔
2. Calculate the slope of the parallel line
m₂ = m₁ = -⅔
3. Calculate its y-intercept
y = mx + b
6 =-⅔(2) + b
Simplify
6 = -⁴/₃ + b
Add ⁴/₃ to each side
b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃
The y-intercept is at (0,²²/₃).
4. Write the equation for the line
y = -⅔x + ²²/₃
The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).
