What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a

Question

What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?

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Thanh Hà 4 months 2021-09-05T10:55:32+00:00 1 Answers 30 views 0

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    2021-09-05T10:57:17+00:00

    Answer:

    (0, -4)

    Step-by-step explanation:

    The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

    The ratio the required point partitions the line = 2 to 3

    The formula for finding the coordinate of a point that partitions a line AB into a ratio ‘a’ to ‘b’, where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

    \left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

    Therefore, the required point is located as follows;

    \left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

    The coordinates of the point is (0, -4)

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