Find B on AC such that the ratio of AB to BC is 3:2. A (4, 2) and C (-6, – 13).

Question

Find B on AC such that the ratio of AB to BC is 3:2. A (4, 2) and C (-6, – 13).

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Thiên Di 5 years 2021-08-01T10:39:11+00:00 1 Answers 20 views 0

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  1. thucuc
    0
    2021-08-01T10:40:42+00:00
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    Answer:

      B(-2, -7)

    Step-by-step explanation:

    The ratio requirement means …

      (B-A)/(C-B) = 3/2

      2(B-A) = 3(C-B) . . . . cross multiply

      2B -2A = 3C -3B . . . eliminate parentheses

      5B = 2A +3C . . . . . . add 3B+2A

      B = (2A +3C)/5 . . . . divide by 5

    Now that we have a formula for B, we can fill in the given point values:

      B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)

    The coordinates of B are (-2, -7).

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )