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calculus

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I have two questions please

1.for the given equation list the intercepts and test for symmetry
49x^2+y^22=49

2. for the midpoint of the line segment from p_1 to P_2 is (-5,4). if P_1=(-2,2) what is P_2?

Please show work

  • calculus -

    49x^2 + y^2 = 49
    divided by 49

    x^2 / 1 + y^2 / 49 = 1

    an ellipse :
    x-intercepts: (1,0) , (-1,0)
    y-intercepts: (0,7), (0, -7)

    2.

    for the x of P2:
    (x-2)/2 = -5
    x-2 = -10
    x = -8

    for the y of P2:
    (y+2)/2 = 4
    y+2 = 8
    y = 6

    P2 is (-8,6)

    check:
    the midpoint between (-8,6) and (-2,2) is ( -5,4)

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