Jane bought a new rectangular placemat with an area of 126 square inches. the length of the placemat is four times the quantity of nine less than half its width. complete the equation that models the area of the placemat, in terms of the width of the placemat, w. = w2 - w the width of the placemat is inche

Step-by-step explanation:

The length is described as 4(-9 +w/2), which simplifies to 2w-36. The area is the product of length and width, so is ...

  Area = width×length

  126 = w(2w -36) = 2w² -36w

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This equation can be divided by 2, then the square completed to give ...

  w² -18w = 63

  w² -18w +81 = 144 . . . . add 81 to complete the square

  (w -9)² = 12² . . . . . . . . . show as squares

  w -9 = 12 . . . . . . . . . . . . take the positive square root

  w = 12 +9 = 21

The width of the placemat is 21 inches.

answer: i believe its b. if you sound out the sentences that sounds wrong.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)