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Ad libitum [116K]
3 years ago
14

Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

17 inches

Step-by-step explanation:

Given

P = 51 --- Perimeter of rectangle

Required

The length of the original square

The perimeter is calculated as

51 = 2(L + W)

Divide by 2

25.5 = L + W

The rectangle and the square have the same length.

So:

L = 2W

25.5 = L + W becomes

25.5 = 2W + W

25.5 = 3W

Divide both sides by 3

W = 8.5

Recall that:

L = 2W

L = 2 * 8.5

L = 17

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Your answer would be the second option, (-4,5).

We can find this by substituting in each point into the equation y < |x - 3| and seeing if it is true.

For the first one you get 1 < |2 - 1|. |2 - 1| = |-1| = 1, and 1 cannot be less than itself, so this is false.

For the second one you get 5 < |-4 - 3|. |-4 - 3| = |-7| = 7, and 5 is indeed less than 7, so this is correct.

I hope this helps!

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