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xeze [42]
3 years ago
15

Which of the following points is a solution to the system of linear inequalities?

Mathematics
2 answers:
IrinaK [193]3 years ago
7 0

Answer:

C. (5, 3)

Step-by-step explanation:

this point is within the answer area... look below at the graph of both linear inequalities

Sophie [7]3 years ago
5 0

For this case we have the following system of inequations:

y\leq2x-5\\y> -3x

We must replace each of the points and verify that the inequalities are met:

Point A: (1,1)

1 \leq2 (1) -5\\1 \leq2-5\\1 \leq-3

It is not fulfilled!

Point B: (-2,2)

2 \leq2 (-2) -5\\2 \leq-4-5\\2 \leq-9

It is not fulfilled!

Point C: (5,3)

3 \leq2 (5) -5\\3 \leq10-5\\3 \leq5

Is fulfilled!

3> -3 (5)\\3> -15

Is fulfilled!

Point D: (-4,4)

4 \leq2 (-4) -5\\4 \leq -8-5\\4 \leq -13

It is not fulfilled!

Thus, the point that is the solution of inequalities is:

(5,3)

ANswer:

(5,3)

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Answer:

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Step-by-step explanation:

The question is incomplete. Here is the complete question.

Juanita and samuel are planning a pizza party. they order a rectangle sheet pizza that measures 21 inches by 36 inches.? they tell the pizza maker not to cut it because they want to cut it themselves. All pieces of pizza must be square with none left over. what is the side length of the largest square pieces into which juanita and samuel can cut the pizza?

First we need to calculate the area of the rectangular pizza.

Area of a rectangle = Length × Breadth

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Area of the rectangular pizza = 756in²

Next is to equate the area of the rectangle to the area of a square.

Area of a square = L²

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L = √756

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L = √36×√21

L = 6√21

This means that the length if the largest square they can cut is 6in (ignoring the irrational part of the length gotten)

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