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german
3 years ago
5

Will mark brainliest! Please help!

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

The dimensions are:

3(2x+1) by (7x+5)

Step-by-step explanation:

The area of the rectangle is given as

A=42x^2+51x+15

The factored form of this quadratic trinomial gives the dimensions of the rectangle.

We factor 3 first to obtain;

A=3(14x^2+17x+5)

We split the middle term to get;

A=3(14x^2+10x+7x+5)

We factor within the parenthesis to get;

A=3(2x(7x+5)+1(7x+5))

We factor further to get;

A=3(2x+1)(7x+5)

The dimensions are:

3(2x+1) by (7x+5)

Then the perimeter will be

2(6x+3+7x+5)=26x+16\:\:\:\boxed{\sqrt{} }

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Answer:

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Step-by-step explanation:

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The measure of the other side of a quadrilateral is 3\sqrt{13} cm.

In the given quadrilateral one side is unknown we need to find the unknown side.

By dividing the given quadrilateral into a rectangle and a triangle we can find the other side.

<h3>What is Pythagoras theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, c^{2}=a^{2}+b^{2}.

Now, x^{2} =9^{2}+6^{2}=81+36=17

⇒x=\sqrt{13 \times 9} =3\sqrt{13}

Therefore, the measure of the other side of a quadrilateral is 3\sqrt{13} cm.

To learn more about Pythagoras' theorem visit:

brainly.com/question/343682.

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2 years ago
Identify which of the following statement(s) is always true?
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Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

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<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

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