3.Point P lies on the directed line segment from A (2,3) to B(8,0) and partitions the segment in the ratio 2 to 1. <

Question

3.Point P lies on the directed line segment from A (2,3) to B(8,0) and partitions the segment in the ratio 2 to 1.

What is the x-coordinate of point P?

4. Determine the area of the rectangle ABCD with vertices A(−1,−1), B(2,3), C(10,−3), D(7,−7)

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Doris 3 years 2021-09-05T16:17:06+00:00 1 Answers 16 views 0

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  1. Farah
    0
    2021-09-05T16:18:32+00:00
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    Answer:

    3. The x-coordinate of point P is 6. Since P(6,1).

    4. Area of rectangle is 32 square units.

    Step-by-step explanation:

    3. The directed segment AB on the Cartesian plane shows that it has a length of 6 units. Since point P partitions the segment in a given ratio 2:1, then its coordinate would be the one that divides segment AB into 4:2. This coordinate is (6, 1). Thus, the x-coordinate of point P is 6.

    4. The appropriate sketch of the rectangle in a Cartesian plane shows that;

    AB = DC = 4 units

    AD = BC = 8 units

    Area of rectangle = length x width

                                 = 8 x 4

                                 = 32 square units

    The area of the rectangle is 32 square units.

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