Answer:
Pattern B
<h3>
Explain: </h3>
A quadratic relationship is characterized by constant second differences.
<em><u>Pattern A
</u></em>
Sequence: 0, 2, 4, 6
First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence
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<em><u>Pattern B</u></em>
Sequence: 1, 2, 5, 10
First Differences: 1, 3, 5
Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence
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<em><u>Pattern C</u></em>
Sequence: 1, 3, 9, 27
First Differences: 2, 6, 18
Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence
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Pattern B shows a geometric relationship between step number and dot count.
Answer:
BD = 4.99
Step-by-step explanation:
You can simply use the trigonometric identity tangent to solve for length BD.
Tan = opposite/adjacent
In this case we have,
Tan 31 = 3/BD
BD = 3/Tan 31
BD = 4.99
2
Because -
2 x 12=12
2 x 13 = 36
2 x 42 = 84
Answer: The correct answer is Choice D, (5, 7).
First, we need to identify the slope from A to B.
It will be -5/-5. In other words, to go from A to B, we move down 5 spaces and left 5 spaces.
If we are going to divide the segment, we are not going to move all 5 spaces in each direction.
Since we are looking for a 2:3 ratio, we are only moving 2 out of the total of 5 spaces. It is 2 over 5, because 2 + 3 makes a total of 5.
Therefore, we only move down 2 and left 2 spaces from Point A. That will put us at the point (5, 7).
