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Law Incorporation [45]
3 years ago
6

Which expressions are equivalent to the one below? Check all that apply. log 2 - log 8

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

\log 2-\log 8=\log\frac{1}{4}\\\\\log 2-\log 8=-\log 4

Step-by-step explanation:

\log 2-\log 8=\log\frac{2}{8}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log\frac{a}{b}=\log a-\log b\\\\\log 2-\log 8=\log\frac{1}{4}\\\\\log 2-\log 8=\log 1-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log\frac{a}{b}=\log a-\log b\\\\\log 2-\log 8=-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log 1=0

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What is the equation of the line that passes through the point (5, -2)<br> and has a slope of 6/5
liubo4ka [24]

Answer:

        y + 2 = ⁶/₅(x - 5)     {the point-slope form of the equation}

        y = ⁶/₅x - 8            {the slope-intercept form of the equation}  

         6x - 5y = 40           {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = ⁶/₅

(5, -2)    ⇒   x₀ = 5,  y₀ = -2

So, the point-slope form of the equation:

y + 2 = ⁶/₅(x - 5)

Therefore:

y + 2 =  ⁶/₅x - 6          {subtract 2 from both sides}

y = ⁶/₅x - 8              ←  the slope-intercept form of the equation

-⁶/₅x + y = - 8                    {multiply both sides by (-5)}

6x - 5y = 40               ←  the standard form of the equation

5 0
3 years ago
Circle the problem in wich you need to regroup. Use the strategy that is easier to find the sum. A) 496+284. B) 482+506
Musya8 [376]
B, because I’m A, it has no number to regroup from(all the numbers can go into each other when yo add) In B, 6 can’t go into 2, so you’ll need to regroup, - hopefully this helped and hopefully I get the answer correct
5 0
3 years ago
Find the mean of the integers
mrs_skeptik [129]

We need to find mean of given integers.

We have -16,39,-10,-16,12,31.

In order to find mean, we need to add all the given inetgers.

Therefore, putting plus sign in between integers.

-16+ 39+ (-10)+(-16)+12+31 .

We will add all positive number 39+12+31 = 82

We will add all negative numbers by negative numbers, -16-10-16 = -42.

Therefore,  -16+ 39+ (-10)+(-16)+12+31  = 82 - 42 = 40.

We have given total 6 integers.

So, in order to find the mean, we need to apply following formula

Mean = \frac{Sum \ of \ all \ number }{Total \ numbers}

We get,

Mean = 40/6 = 6.66666......

We can round it to 6.67.

Therefore, mean of the given integers = 6.67 (approximately) .


4 0
4 years ago
Estimate the difference.<br><br> 6.11 - 1.2<br><br> 6<br> 7<br> 5<br> 4
fenix001 [56]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
A clock loses 10 minutes each hour.
dusya [7]

Solution:

3:36 PM.

The clock loses 10 minutes each hour,

so it loses 5 minutes every half-hour,

and it loses 1 minute very 6 minutes.


It is 12:50 PM at 1:00 o'clock.

It is 1:40 PM at 2:00 o'clock.

It is 2:30 PM at 3:00 o'clock.

It is 2:55 PM at 3:30 o'clock.

It is 3:00 PM at 3:36 o'clock.


Hope it helped mah friend :)

7 0
3 years ago
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