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3 years ago

Which binomial is a factor of 9x^2+24xy+16y^2

Mathematics

2 answers:

gregori [183]3 years ago

7 0

Answer: (3x + 4y)(3x + 4y)

Step-by-step explanation: So you are supposed to "unfoil". So you would find two numbers multiplied together to make 9x^2 which would be 3x. Then you would find two numbers that can be multiplied together to get 16y^2 which would be 4y. To check your work, you do 3x times 3x. Then 4y times 4y. Then 4y times 3x plus 3x times 4y. You get 9x^2 + 24xy plus 16y^2.

Cloud [144]3 years ago

7 0

3x+4y for people who are using apx

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I NEED HELP!! ILL MARK BRAINLIEST AND GIVE YOU 100 POINTS!!

Flauer [41]

I'm not entirely sure if the focus of this question is more on marketing or the proof, but I can try to help a bit with the proof.

From what I can tell this is basically asking you to take a polynomial from column A, square it, and then add it to column B, and then simplify it while showing your work in order to create an identity. For example:

(x+y)^2 + (ax+b) =

x^2 + xy + +y^2 + ax+b =

x^2 + ax +y^2 + xy + b

Factor out an x from x^2 + ax and a y from y^2 + xy (you don't have to simplify it this way, I'm just doing it as an example)

x(x+a) + y(y+x) + b

Therefore, (x+y)^2 + (ax+b) = x(a+x) + y(y+x)

I can't really help with making a flier, but hopefully this helps

6 0

3 years ago

Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Afina-wow [57]

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

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

Queremos calcular:

$4^x + 4^{-x}$

Tambien sabemos que 4 = 2*2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}$

y sabemos que 2*2 = 2^2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}$

y ahora podemos usar la relación:

$(a^n)^m = (a^m)^n = a^{m*n}$

entonces:

$(2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2$

Ahora podemos completar cuadrados sumando y restando el termino:

$2*(2^x)*(2^{-x})$

Asi tendremos:

$(2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Entonces de momento tenemos que:

$4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

$a^n*a^m = a^{n + m}$

en el termino de la derecha.

Asi tendremos:

$(2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7$

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3 years ago

One scientific team determened that the avrage thickness of a chickens egg shell is 0.311 millimeters

rosijanka [135]

Answer:

As we can see the average for the thickness of a chickens egg shell is 0.311 mm and if we want to round this number to the nearest tenth we just need to see the second decimal place and round to one decimal place.

This second decimal place for this number is 1 and this number is $\leq 5$ so then if we round to the nesrest tenth we will get:

$0.3 mm$

Step-by-step explanation:

We use the following info in order to complete the qeustion:

Round the thickness of the shell to the nearest tenth.

0.3

0.5

0.92

This second decimal place for this number is 1 and this number is $\leq 5$ so then if we round to the nesrest tenth we will get:

$0.3 mm$

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3 years ago

What problems will two decimal places have in the product? Select all that apply.

Ber [7]

Answer:

it's none of them you clown

Step-by-step explanation:

hope you fail

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3 years ago

In how many ways can Joseph, Michael, Chris, Katherine, Rebecca and Kyle stand in a line?

Andrews [41]

Answer:

720

Step-by-step explanation:

I got it from Quora

We can use 6 people without repetition, which means we simply have to use counting principle 1.

A number of n objects can be arranged in n! ways.

Total number of combinations possibles = 6! =720

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4 years ago