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Bas_tet [7]
3 years ago
15

2x 5 The area of the rectangle shown is given by the function A()- 2 -5x lfthe width of the rectangle is 13, then the area is 42

square feet. 187 square feet. 273 square feet. 611 square feet.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0
If you let x = 13:
     Then, Area = 2(13)^2 - 5(13)
                        = 338 - 65
                        = 273 sq ft

If you let 2x-5 = 13:
                  2x = 18
                    x = 6
 
     Then, Area = 2(6)^2 - 5(6)
                        = 72 - 30
                        = 42 sq ft

Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!

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Answer:

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Step-by-step explanation:

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4 0
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Answer the equation
ivanzaharov [21]

Answer:

x = -2, y = -4

coordinate: (-2, -4)

Step-by-step explanation:

Given system of equations:

a) 4x - 7y = 20

b) x - 3y = 10

1. Make x the subject in the <em>second</em> equation:

⇒ x - 3y = 10 [add 3y to both sides]

⇒ x - 3y + 3y = 10 + 3y

⇒ x = 3y + 10

2. Substitute the given value of x into <em>first</em> equation:

⇒ 4x - 7y = 20

⇒ 4(3y + 10) - 7y = 20 [distribute 4 through the parentheses]

⇒12y + 40 - 7y = 20 [combine like terms]

⇒ 5y + 40 = 20 [subtract 40 from both sides]

⇒ 5y - 40 - 40 = 20 - 40

⇒ 5y = -20 [divide both sides by 5]

⇒ 5y ÷ 5 = -20 ÷ 5

⇒ y = -4

3. Find the value of x by substituting the given value of y into x = 3y + 10:

⇒ x = 3y + 10

⇒ x = 3(-4) + 10 [multiply]

⇒ x = -12 + 10 [add]

⇒ x = -2

4. Check your work:

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⇒ 4(-2) - 7(-4) = 20

⇒ -8 + 28 = 20

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<em>b) x - 3y = 10</em>

⇒ -2 - 3(-4) = 10

⇒ -2 + 12 = 10

⇒ 10 = 10 ✔

This system of equations has a solution at (-2, -4).

Learn more here:

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