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arsen [322]
3 years ago
12

Write the equation in logarithmic form 3^3=27

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Taking logarithms, you get

3\log{(3)}=\log{(27)}\\\\3=\dfrac{\log{(27)}}{\log{(3)}}\\\\3=\log_{3}{(27)}

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Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

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If it 8 inch candle burns at 7/10 inch per hour and a 6 inch candle Burns at 1/5 inch per hour after how many hours would both c
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We must solve

8 -  \frac{7}{10}x = 6 -  \frac{1}{5}x \\ or \\ 80 - 7x = 60 - 2x \\ now \\ 20 = 5x \: so \: x = 4 \\
Means the candles will be the same size in 4 hours
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Answer:

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Step-by-step explanation:

i'm introverted so online school is epic for me

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