Find the 9th term of the geometric sequence 8 , 32 , 128
1 answer:
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Question:
The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .
What is the unit rate of this graph? Be sure to simplify your answer.
Answer:
The unit rate of this graph is 1.5
Explanation:
The graph shows a proportional relationship and the plotted point is (6,9).
The unit rate of the graph can be determined by the formula,
Thus, from the graph, the coordinates are (0,0) and (6,9)
Substituting the coordinates in the formula, we have,
Subtracting, we get,
Thus, the unit rate of the graph is 1.5
Answer:
A non-equilateral rhombus.
Step-by-step explanation:
We can solve this graphically.
We start with square:
ABCD
with:
A = (11, - 7)
B = (9, - 4)
C = (11, - 1)
D = (13, - 4)
Only with the vertices, we can see that ABCD is equilateral, as the length of each side is:
AB = √( (11 - 9)^2 + (-7 -(-4))^2) = √( (2)^2 + (3)^2) = √(4 + 9) = √13
BC = √( (11 - 9)^2 + (-1 -(-4))^2) = √13
CD = √( (11 - 13)^2 + (-1 -(-4))^2) = √13
DA = √( (11 - 13)^2 + (-7 -(-4))^2) = √13
And we change C by C' = (11, 1)
In the image you can see the 5 points and the figure that they make:
The figure ABCD is a rhombus, and ABC'D is also a rhombus, the only difference between the figures is that ABCD is equilateral while ABC'D is not equilateral.
