Arectangular piece of carpet covers 10 yd^2. the width is 4 yd less than the length. find the length and width.
round your answers to the nearest tenth of a yard.

Step-by-step explanation:

Let w represent the width of the carpet. Then the length is w+4 and the area is ...

  w(w +4) = 10

  w² +4w = 10 . . . . . eliminate parentheses

  w² +4w +4 = 14 . . . . . . add the square of half the w-coefficient to complete the square

  (w +2)² = 14 . . . . . . . . . rewrite as a square

  w +2 = √14 . . . . . . . . . take the square root

  2 = -2 +√14 ≈ 1.7 . . . . yards (width)

Then the length is 4 more yards than this, so is ...

  length = 1.7 +4 = 5.7 . . . yards

The length and width are 5.7 and 1.7 yards, respectively.

_____

In the attached graph, we let x represent the length. As you can see, the magnitudes of the two zeros are width and length.

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.