Answer:
Table B
Step-by-step explanation:
The table represents a linear function if the ratio of change in y (∆y) to change in x (∆x) is a constant.
A — first two points: ∆y/∆x = (1-2)/(3-0) = -1/3
second two points: ∆y/∆x = (6-1)/(4-3) = 5 ≠ -1/3
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B — first two points: ∆y/∆x = (2-(-3))/(4-(-1)) = 5/5 = 1
second two points: ∆y/∆x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.
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C — first two points: ∆y/∆x = (0-(-2))/(0-(-3)) = 2/3
second two points: ∆y/∆x = (4-0)/(2-0) = 4/2 = 2 ≠ 2/3
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D — first two points: ∆y/∆x = (-2-(-7))/(0-5) = 5/-5 = -1
second two points: ∆y/∆x = (2-(-2))/(2-0) = 4/2 = 2 ≠ -1
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Based on the calculations, the length of side AB is equal to 13.93 units.
<h3>How to find the length of AB?</h3>
Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:
AM = AD - BC
AM = 7 - 2
AM = 5 units.
Now, we can determine the length of side AB by applying Pythagorean's Theorem:
AB² = BM² + AM²
AB² = 13² + 5²
AB² = 169 + 25
AB = √194
AB = 13.93 units.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer:
Powers of ten
Step-by-step explanation:
They are the result of multiplying 1= times iteself however many times.