What are the coordinates of D?

A. (3,-8)

B. (2,6)

C. (6,-13)

D. 12

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9 Answers

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  • 4 weeks ago

    Apply the midpoint formula:

    .............x1 + x2..........y1 + y2

    mid = (--------------, ----------------)

    .................2.....................2

    given midpoint (4,-5) and C(2,3)

    solving for x

    .......2 + x

    4 = ---------

    ...........2

    8 = 2 + x

    8 - 2 = x

    x = 6

    solving for y

    ...........3 + y

     - 5 = -----------

    ...............2

    - 10 = 3 + y

    - 10 - 3 = y

    y = - 13

    Therefore, the coordinates of D is (6,-13)..

    Answer is C. (6,-13).

  • Philip
    Lv 6
    4 weeks ago

    M(4,-5) is the midpoint of CD, where C=(2.3) & D=(x,y).;

    Then (4,-5) = (1/2)(x+2,y+3);

    ie., 2(4,-5) = (x+2,y+3);

    ie., (8,-10) = (x,y) + (2,3);

    ie., (8,-10)-(2,3) = (x,y);

    ie., (x,y) = (8-2,-10-3) = (6,-13).;

    Option C. gives correct answer.

  • 4 weeks ago

    Let D=(x,y), then

    (x+2)/2=4

    (y+3)/2=-5

    =>

    x=6

    y=-13

    Answer C

  • 4 weeks ago

     M is the midpoint of the line CD.

     If the midpoint M is (4, -5) and C is (2, 3), 

     then the coordinates of D are (6, -13).

     A. (3, -8) 

     B. (2, 6)  

     C. (6, -13) ==> Answer 

     D. 12

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  • 4 weeks ago

    C (2 ; 3)

    D (xD ; yD)

    The midpoint of CD is the point M (4 ; - 5)

    xM = (xC + xD)/2

    4 = (2 + xD)/2

    8 = 2 + xD

    xD = 6

    yM = (yC + yD)/2

    - 5 = (3 + yD)/2

    - 10 = 3 + yD

    yD = - 13

    → D (6 ; - 13)

  • 4 weeks ago

    Let (x, y) be the coordinates of D.

    The coordinates of M:

    ((2 + x)/2, (3 + y)/2) = (4, -5)

    The x-coordinate of M:

    (2 + x)/2 = 4

    2 + x = 8

    x = 6

    The y-coordinate of M:

    (3 + y)/2 = -5

    3 + y = -10

    y = -13

    Hence, the coordinates of M = (6, -13)

  • 4 weeks ago

    From 2 to 4 --> (add 2) --> 4 to 6

    From 3 to -5 --> (subtract 8) --> -5 to -13

    Answer:

    C. (6,-13)

  • David
    Lv 7
    4 weeks ago

    The coordinates of D are (6, -13)

  • 4 weeks ago

    The midpoint can be found by finding the means of the x and the y coordinates.

    D is unknown so I'll call that (x, y)

    We are then told that the point (4, -5) is the midpoint between (2, 3) and (x, y)

    Using this information we can solve for x and y. 

    Midpoint's x is the mean of the endpoint's xs:

    (2 + x) / 2 = 4

    2 + x = 8

    x = 6

    Midpoint's y is the mean of the endpoint's ys:

    (3 + y) / 2 = -5

    3 + y = -10

    y = -13

    So the other endpoint (point D) is (6, -13) (answer C).

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