the lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

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the lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

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Latifah 1 year 2021-08-27T15:48:04+00:00 1 Answers 13 views 0

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    2021-08-27T15:49:31+00:00

    Answer:

    These lines will be perpendicular when m =  ³⁄₂

    Step-by-step explanation:

    Two lines are perpendicular when the product of their gradients equal to -1. So:

    m₁ * m₂ = -1

    Let’s get the first equation in gradient-intercept form (same as equation two).

    2x + 3y = 4

    3y = -2x + 4

    y = -⅔x + ⁴⁄₃

    We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

    -⅔ * m₂ = -1

    m₂ =  ³⁄₂

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