9. The area of a yard is given by the equation y = x2 – 12x + 32. If the length of the garden is given by the expression x – 4,

Question

9. The area of a yard is given by the equation y = x2 – 12x + 32. If the

length of the garden is given by the expression x – 4, what is the width of

the yard?

in progress 0
Reagan 2 weeks 2022-01-11T00:48:58+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-11T00:50:26+00:00

    Answer:

    The width of the yard is given by the expression (x – 8).

    Step-by-step explanation:

    We are given the following in the question:

    Area of yard, y =

    y = x^2 - 12x + 32

    Length of garden =

    x -4

    We have to find the with of the garden.

    Area of yard =

    \text{Length}\times \text{Width}

    Putting the values, we get:

    x^2 - 12x + 32 = (x - 4) \times \text{Width}\\\\\text{Width} = \dfrac{x^2 - 12x + 32}{x-4}

    Now,

    x^2 - 12x + 32 \\=x^2 - 8x - 4x + 32\\=x(x-8)-4(x-8)\\=(x-8)(x-4)

    \text{Width} = \dfrac{x^2 - 12x + 32}{x-4} = \dfrac{(x-8)(x-4)}{(x-4)} = x - 8

    Thus, the width of the yard is given by the expression (x – 8).

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )