A raindrop was 24 meters above the ground, falling straight down at a constant velocity. It took the raindrop 3 seconds to fall
1 answer:
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Answer:
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be
Because the sequence multiplies by 3 each time, The base number in that equation would be .
So of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: .
Combine these 2 equations together and you get:
.
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
- (-5, -3)
- (2, 4)
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:
Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:
Now, we can use simple substitution to solve for m, or the slope.
Therefore, the slope of the line is 1.