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AleksandrR [38]
2 years ago
7

8. Which expression is equivalent to

Mathematics
1 answer:
Ksju [112]2 years ago
5 0

Answer:

option 3

Step-by-step explanation:

\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\

\dfrac{12x^{4}}{4x^{16}}=3x^{4-16}

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Answer:

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A number divided by 40 has a quotient of 6 a remainder of 16. Find the number.
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40 x 6 + 16 =
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Line m has the equation y = 1/2x - 4
Mandarinka [93]

Answer:

  • As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

y=mx+b

Where m is the slope and b is the y-intercept

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y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

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x-2y=4

solving for y to writing the equation in the slope-intercept form and determining the slope

x-2y=4

Add -x to both sides.

x - 2y + (-x) = 4+(-x)

-2y = 4 - x

Divide both sides by -2

\frac{-2y}{-2}=\frac{-x+4}{-2}

y=\frac{1}{2}x-2

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

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Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

3 0
2 years ago
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