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3 years ago

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square.

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

Answer:

A = s² - 5s - 6

Step-by-step explanation:

A square has sides of length s.

Now, a rectangle is 6 inches shorter and 1 inch longer than the square.

So, the rectangle has length = (s + 1) and width = (s - 6).

Therefore, the area of the rectangle is, A = Length × Width

⇒ A = (s + 1)(s - 6)

⇒ A = s² - 5s - 6

Therefore, this is the required polynomial. (Answer)

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<h2>Word Problem</h2>

To form equations from word problems, we can do the following:

Identify variables
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Identify word equations and translate into numerical equations
Solve

<h2>Solving the Question</h2>

We're given:

Let <em>x</em> be the number of individual tickets that were sold
Let <em>y</em> be the number of group tickets sold
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Cost of 1y = 16 dollars
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Here are all the equations we have created:

x = 36 + y
7x + 16y = 574

We can solve for the value of <em>x</em> using systems of equations.

First, isolate <em>y</em> in the first equation:

$x = 36 + y\\y=x-36$

Now, plug this into the second equation:

$7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50$

Therefore, <em>x</em> is equal to 50.

<h2>Answer</h2>

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<span>
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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