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Bingel [31]
3 years ago
7

Find the slope of each line. through (-2,7) and (4,1)

Mathematics
2 answers:
Softa [21]3 years ago
8 0

1-7=

-6

4-(-2)=

6

-6/6=

-1

The slope is -1

Virty [35]3 years ago
6 0

the answer would be 3 I believe

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
ludmilkaskok [199]

Answer:

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

Step-by-step explanation:

Given:

y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}

using the properties of log we can take the power 1/2 and multiply it.

y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)

now we can differentiate:

\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)

\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

this is our answer!

8 0
3 years ago
Which of the following represents the difference between ten and a number is the sum of eight and a number"?
Alona [7]

9514 1404 393

Answer:

  (c)  10 -N = 8 +N

Step-by-step explanation:

The difference between 10 and a number is (10 -N).

The sum of 8 and a number is (8 +N).

In this context, "is" means "equals," so we have ...

  10 -N = 8 +N

7 0
3 years ago
What are the solutions of the equation x^2+4x+4=25
vodomira [7]
X² + 4x + 4 = 25
(x+2)² = 25
x + 2 = <span>±5
x + 2 = -5     or     x + 2 = 5
x = -5 -2               x = 5 - 2
x = -7                   x = 3

</span><span>The solutions are x=-7 and x=3</span>
7 0
3 years ago
Simplify.<br> (2 - 61) - (-10 + 4i)
ankoles [38]

Answer:

− 49 − 4 i

hope this helps

4 0
3 years ago
Read 2 more answers
Time sensitive mark best as brainiest
ycow [4]

Answer:

4986 ounces/m³

Step-by-step explanation:

1 kilogram = 35.274 ounces

1 cubic foot = 0.0283 cubic metre

We are converting kg/ft³ to ounces/m³

Hence:

4kg/ft³ × 35.274 ounces/ 1 kg × 1 ft³/0.0283m³

= 4985.7243816 ounces/m³

Approximately to the nearest whole number = 4986 ounces/m³

6 0
3 years ago
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