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bearhunter [10]

3 years ago

15

3x^2+81 Select the method(s) of factoring that must be used to factor the following polynomial (select all that apply): Differen

ce of Squares, Product Sum Factoring, Greatest Common Factor (GCF), Bottoms Up Factoring.

1 answer:

serg [7]3 years ago

7 0

I think just GCF. That is the only one I think

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Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

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3 years ago

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

pogonyaev

Answer:

Step-by-step explanation:

The question is not biased. It doesn't push the participants to answer one way or another.

However, the sample is biased. It does not represent the population.

The first and fourth options are correct.

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Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.

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The store that is larger sells shirts at a better price because they have greater supply in comparison to the demand of shirts. The price is $2.99 because the larger store offers a discount of 10%.

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Melinda has a 598-page book. If she reads 26 pages each day, how many days will it take for her to finish reading the book?

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Step-by-step explanation:

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