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Anna007 [38]
3 years ago
12

Find an equation in slope-intercept form of the line that has slope –8 and passes through point A (1, 5)

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

Step-by-step explanation:

y - 5 = -8(x - 1)

y - 5 = -8x + 8

y = -8x + 13

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Can someone explain the process getting from:
spin [16.1K]
\rm 5=e^{3b}

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

\rm log_e(5)=log_e(e^{3b})

We'll apply one of our log rules next:
\rm \log(x^y)=y\cdot\log(x)

This allows us to take the exponent out of the log,

\rm log_e(5)=(3b)log_e(e)

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
\rm log_{10}(10)=1
\rm log_5(5)=1
\rm log_e(e)=1

So our equation simplifies to this,

\rm log_e(5)=(3b)\cdot1

As a final step, divide both sides by 3,

\rm \frac13log_e(5)=b

k, hope that helps!


6 0
3 years ago
PLEASE HELP
Ronch [10]

Answer:

ammmmmmmmmmmmm what's the Question?

6 0
3 years ago
The radius of a circle is 2 centimeters. What is the circle's area? r=2 cm Use 3.14 for ​. square centimeters.
satela [25.4K]

Answer:

A = 12.57

Step-by-step explanation:

This is my answer! Hope this helps!

7 0
3 years ago
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Solve N = 144p y for p.
Roman55 [17]
\frac{N}{144} = p There you go.
3 0
4 years ago
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Solve 81^x = 27^^^x + 2.<br><br> A. x = 1<br> B. x = 2<br> C. x = 5<br> D. x = 6
Margarita [4]

Answer:

Step-by-step explanation:

81^x=27^(x+2)

3^4=81 and 3^3=27

3^4x=3^(3(x+2))

exponents are the same so we just take those

4x=3x+6

x=6

5 0
4 years ago
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