Step-by-step explanation:
Answer:
The transformation on the graph is a reflection across the x-axis.
Step-by-step explanation:
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.
In this particular figure, you see that each point is the same number of units away from the x-axis. For instance, with A and A' their both 1 unit away from the x-axis. So this is an automatic indicator that this transformation is a reflection.
2 x 18 = 36
5 x 18 = 90
36 + 90 = 126
the coach should order 126 rolls of tape
Answer:
65.5 feet per second
Step-by-step explanation:
In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...
6,039 - 3,288 = 2,751 ft
Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.
2,751 ft / 42s = 65.5 ft/s
Finally we can see that the rate of descent was 65.5 feet per second
The recursive formula is 
.
<h3>What is Arithmetic Progression?</h3>
A set of numbers is an arithmetic progression (AP) or an arithmetic sequence such that the difference between successive words is unchanged.
Given:
A(n)=(-1)+(n-1)(-5)
A(n) = -1 - 5n + 5
A(n) = 4-5n
n=1
A(1)= 4-5= -1
n=2,
A(2) = -6
n=3
A(3)= -11
Hence, the recursive formula is .
Learn more about this concept here:
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