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Solve for d when t = 0, t = 3, t = 5 in the equation d = 2t. Find the slope of line AB with points A(-3, 12) and B(-11, -16).

A. d = 0, slope = 4
B. d = 10, slope = -4
C. d = -6, slope = -2
D. d = 5, slope = 2

User Anhinga
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Final answer:

After solving for d in the equation d = 2t, we find that when t = 0, d = 0; when t = 3, d = 6; and when t = 5, d = 10. The slope of line AB, found using the points A(-3, 12) and B(-11, -16), is 3.5, which is not given in the answer choices. There seems to be a discrepancy as none of the multiple-choice options match these solutions.

Step-by-step explanation:

To solve for d in the equation d = 2t, we simply multiply the given values of t by 2. So, for t = 0, d = 2(0) = 0; for t = 3, d = 2(3) = 6; and for t = 5, d = 2(5) = 10. The slope of line AB is calculated using the slope formula, which is (change in y) / (change in x). Given the points A(-3, 12) and B(-11, -16), the slope is (-16 - 12) / (-11 - (-3)) = -28 / -8 = 3.5. However, none of the answer choices provided has a slope of 3.5, which suggests a potential error in the question or answer choices.

But to get a slope from the listed answers, the calculation would be: (-16 - 12) / (-11 - (-3)) which equals -28 / -8 = 3.5, which is not listed in the given choice. Considering the equations and points provided, none of the answer choices A, B, C, or D match the calculations for d and the slope that we have found. Thus, the correct answer seems to be missing from the options provided.

User Droidbot
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