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FinnZ [79.3K]
3 years ago
6

Suppose a quilt made up of squares has a length-to-width ratio of 5 to 4. The length of the quilt is 5x inches. The quilt can be

made slightly larger by adding a border of 1-inch squares all the way around the perimeter of the quilt. Write a polynomial expression for the area of the larger quilt.
Mathematics
1 answer:
andrezito [222]3 years ago
6 0

Answer:

20x + 18x + 4

Step-by-step explanation:

The quilt was in a 5:4 ratio, which meant the length was 5x and the width was 4x. The larger quilt added a border of 1-inch squares, which meant that the length & width would increase by 2 inches.

We have the area as (5x + 2)(4x + 2) = 20x + 10x + 8x  + 4

                                                             = 20x + 18x + 4

Solution: 20x + 18x + 4

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c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

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C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

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Move constant to the right-hand side and change its sign

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Subtract the numbers

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3 years ago
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Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

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From the figure we can see that D is the mid point and AD⊥BC

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By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

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