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fiasKO [112]
3 years ago
6

Write the following equation in the general form Ax+ By + C= 0.

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

1/2 y - 1/3 x -1 = 0

Multiply through by the LCD -6 to clear the fractions and the negative coefficient with the 'x'.

-3y + 2x + 6 = 0

Then reorder

2x - 3y + 6 = 0

Step-by-step explanation:

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Select all the expressions that are equivalent
irina1246 [14]

Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}

Of course, that repeated multiplication can be shown explicitly:

  \dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}

The equivalent expressions to 4^(-3) are B, C, D.

_____

<em>Additional comment</em>

The expression of G evaluates to ...

  \dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}

3 0
2 years ago
A line is perpendicular to
kap26 [50]

<em>Note: your answer options suggest as if your actual question was</em>

<em>y = -4x - 9 instead of y = -x-9</em>

<em>But, anyways I am solving with respect to both equations </em>

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

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

Given the line

y = -x-9

comparing with the slope-intercept form (y = mx+b) of the line

  • Therefore, slope of the line = m = -1

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

y = -4x - 9

comparing with the slope-intercept form (y = mx+b) of the line

  • Therefore, slope of the line = m = -4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

3 0
3 years ago
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