The graph shows a linear function.
1 answer:
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Answer:
table C
Step-by-step explanation:
The rates of change can be computed using the slope formula.
m = (y2 -y1)/(x2 -x1)
The points used and the resulting "rate of change" are shown in the attachment.
Table C shows a rate of change (1/3) that is less than that of the graph (1/2).
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I like to use a spreadsheet for repetitive calculations, especially ones involving negative numbers. This helps prevent errors (and tedium). The formula is entered only once.
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Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
