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college algebra

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1. for the given slope-inntercept equation of the line with the following properties parallel to the line y=7; containing the (-3,5)


2. write the equation of the circle in standard form. find the center, radius, intercepts.
x^2+y^2+16x-18y+145=25

please show work

  • college algebra - ,

    parallel to y =7 is a horizontal line
    y = 0x + 5
    or y = 5

    complete the square a couple of times

    x^2 + 16 x = -y^2 + 18 y - 120

    x^2 + 16 x + 64 = -y^2 + 18 y - -56

    (x+8)^2 + y^2 - 18 y = -56

    (x+8)^2 + y^2 - 18 y + 81 = 25

    (x+8)^2 + (y-9)^2 = 5^2
    center at (-8,9) radius 5 etc

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