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vlada-n [284]
3 years ago
14

Select the polynomial that can be factored as (3x - 4)^2

Mathematics
1 answer:
Elodia [21]3 years ago
6 0
Second binomial formula
(a - b)^2 = a^2 - 2ab + b^2
(3x - 4)^2 = (3x)^2 - 2 × 3x × (-4) + (-4)^2
=9x^2 + 24x - 16
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How many ways can a 6 question quiz be answered with 4 choice answers?
Setler79 [48]
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6 0
3 years ago
Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

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4 years ago
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Answer:

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Step-by-step explanation:

Does this help☺

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BigorU [14]

Answer:

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Step-by-step explanation:

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Dominik [7]

Answer:

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Step-by-step explanation:

6 0
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