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Bas_tet [7]
2 years ago
8

What is log6 8+ log6 27

Mathematics
2 answers:
defon2 years ago
7 0
\log_6 8 + \log_6 27=\log_6 (8 \times 27)=\log_6 216=3
ikadub [295]2 years ago
3 0
Log8 base 6  + Log27 base 6.

When you have a plus, you multiply. That is the law of logarithm.

=  Log (8 * 27)  base 6.

= Log 216 base 6.

= Log (6^3) base 6.

= 3* Log 6 base 6.  Law of logarithm. Log of a number to same number of base = 1.

= 3 * 1 = 3. 
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What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept
ss7ja [257]

Answer:

y=-\frac{1}{2}x+\frac{3}{2}

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-\frac{1}{2}x+3/2

8 0
2 years ago
Eddie drank 3/4
ch4aika [34]

Answer:

3/4  x  5  =  15/20

3/5  x  4  =  12/20

15/20 + 12/20 = 27/20

Hope this helps!

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Because without it the economy would fail :)
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