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Vilka [71]
3 years ago
10

The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be r

epresented by (x−4). What are the dimensions of this rectangle in millimeters?
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

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Answer:

  1. 6x +y = -6
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Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

  • eliminate parentheses
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Of course, any operation you do must be done <em>to both sides of the equation</em>.

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1. y -6 = -6(x +2)

  y -6 = -6x -12 . . . . . eliminate parentheses

  6x +y -6 = -12 . . . . . add 6x

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2. y +2 = 6(x -1)

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  -6x +y +2 = -6

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  6x -y = 8 . . . . . . . . multiply by -1

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3. y -3 = -5(x -2)

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_____

<em>Additional comment</em>

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Answer:

AP is 11.25 so the answer is F

Step-by-step explanation:

Since they are similar triangles (due to the ~ symbol)

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since XZ=12

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you can write:

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