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Tatiana [17]
4 years ago
11

Which choice is equivalent to the product below for when x>/ 0

Mathematics
2 answers:
Fynjy0 [20]4 years ago
4 0

Answer:

B 6 x^2 sqrt(3)

Step-by-step explanation:

sqrt(6x^2) sqrt(18x^2)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(6x^2*18x^2)

sqrt(108x^4)

sqrt(36 *3*x^4)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(36)sqrt(x^4)sqrt(3)

6 x^2 sqrt(3)

miss Akunina [59]4 years ago
4 0

Answer:

Option B=6x^2\sqrt3

Step-by-step explanation:

We are given that a product \sqrt{6x^2}\cdot \sqrt{18x^2}

where x\geq 0

We have to find that which is equivalent to given product

Factorize each term then we get

\sqrt{2\times3\times x^2}\cdot \sqrt{3\times3\times2\times x^2}

x^2\sqrt{2\times 2\times 3\times 3\times3}

\sqrt{6x^2}\cdot\sqrt{18x^2}=2\times 3x^2\sqrt 3

\sqrt{6x^2}\cdot\sqrt{18x^2}=6\sqrt3 x^2

Hence,option B is true.

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Answer:

-30x^2-9x+12  all real numbers

Step-by-step explanation:

f(x) = -6x + 3 and g(x) = 5x + 4

f(x) * g(x) = (-6x + 3) * ( 5x + 4)

FOIL

            = -30x^2 -24x+15x +12

Combine like terms

           =-30x^2-9x+12

The domain is what numbers x can take

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3 years ago
According to the distributive property, 6 x (5 + 3) =
ale4655 [162]

Answer: Your answer is D


8 0
3 years ago
N+-6=11 that's what I need to know
fomenos
N+-6=11     Write the original equation.         
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This is the answer.
7 0
4 years ago
What is the slope of a line perpendicular to the line whose equation is
Amanda [17]

Answer:

\frac{3}{2}

Step-by-step explanation:

To find the slope of the perpendicular line, we must first find the slope of the given line.

This can be done by rearranging the equation into the slope intercept form.

2x +3y= -3

3y= -2x -3

y= -⅔x -1

Thus, the slope of the given line is -⅔.

The slope of the perpendicular line is the negative reciprocal of the given line.

Slope of perpendicular line =  \frac{3}{2}

What is slope-intercept form?

  • y= mx +c, where m is the slope and c is the y-intercept
  • This can be achieved by making y the subject of formula

Negative reciprocal

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Negative reciprocal of -⅔

=  - 1 \div  ( - \frac{2}{3} )

=  - 1 \times ( -  \frac{3}{2} )

=  \frac{3}{2}

5 0
3 years ago
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