Answer:
The relationship shows a direct linear variation with a constant of variation of 1.
Step-by-step explanation:
This is true because the slope of the equation is 1
Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
Answer:
y =1/2x+6
y = -2x+2
Step-by-step explanation:
Perpendicular line have slopes that multiply to -1
The slopes are negative reciprocals
-4*4 = 16 not perpendicular
1/2 * -2 = -1 perpendicular
1/5 *5 = 1 not perpendicular
2/3 * 2/3 = 4/9 not perpendicular
Most charts for the sizes of the canoe paddle give the sizes in units of inches. A yard is a unit of measure of length that is equal to 36 inches. Although some sizes of the canoes paddle torso are not greater than 36 inches, the yardstick can still be a reasonable measuring tool for bigger canoe paddles.
