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Line AB passes through the origin. If 2 < c < 10, which of the followi
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08 Dec 2022, 12:10
08 Dec 2022, 12:10
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42% (03:33) correct
57% (02:28) wrong based on 19 sessions
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Line AB passes through the origin. If 2 < c < 10, which of the following could be possible values for d ?
Indicate all such values.
2.0
− 1.3
− 1.8
− 3.1
− 5.5
− 6.8
−10.0
Re: Line AB passes through the origin. If 2 < c < 10, which of the followi
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11 Dec 2022, 04:00
11 Dec 2022, 04:00
Expert Reply
OE
First, find the slope of the line, which runs through (−3, 2) and (0, 0). The slope is the change in y over the change in x, or 2/3. Therefore, the equation of line AB is y = – 2/3 x. To find the range of possible values for d, plug in the given range of possible values for c to the equation. If c = 2, d = – 4/3, and if c = 10, d = – 20/3. Any value between – 4/3 and – 20/3, or −1.33 and −6.67, will work for d. Therefore, the only right answers are choices (C), (D), and (E).
First, find the slope of the line, which runs through (−3, 2) and (0, 0). The slope is the change in y over the change in x, or 2/3. Therefore, the equation of line AB is y = – 2/3 x. To find the range of possible values for d, plug in the given range of possible values for c to the equation. If c = 2, d = – 4/3, and if c = 10, d = – 20/3. Any value between – 4/3 and – 20/3, or −1.33 and −6.67, will work for d. Therefore, the only right answers are choices (C), (D), and (E).
Re: Line AB passes through the origin. If 2 < c < 10, which of the followi
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03 Sep 2024, 11:13
03 Sep 2024, 11:13
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