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katrin [286]
3 years ago
5

Slope of (-4, 10) and (8,-2)

Mathematics
2 answers:
LenaWriter [7]3 years ago
5 0
The following shows the work and answer to your question:

Zielflug [23.3K]3 years ago
4 0

Answer:

Slope for a line that passes through (-4, 10) and (8, -2) is -2/3

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Find the inverse of the following function. Then prove they are inverses of one another.
solmaris [256]

Answer: \dfrac{x^2+1}{2}

Step-by-step explanation:

Given

f(x)=\sqrt{2x-1}

We can write it as

\Rightarrow y=\sqrt{2x-1}

Express x in terms of y

\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}

Replace y be x to get the inverse

\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}

To prove, it is inverse of f(x). f(f^{-1}(x))=x

\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x

So, they are inverse of each other.

8 0
3 years ago
Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? OPTIONS : 3
Ostrovityanka [42]

Answer:

2

Step-by-step explanation:

It sounds like we are pretending A is the universe.  The only numbers in our world are 1,2,3,4, and 5.

You are given B is all numbers greater than 2.

The complement of B would all the elements not listed in B.

The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.

The elements not in B are 1 and 2.

So B complement is {1,2}.

There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.

6 0
3 years ago
Pls help ill give 15 brainliest and 5 starts question is down below
yaroslaw [1]

Answer:

1 is 9 sq units

2 is 12

3 is 24cm^2

Step-by-step explanation:

7 0
2 years ago
What does the digit 8 represent in 687, 413?
zvonat [6]

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
△DEF is shown below.<br><br>Triangle DEF<br><br>What is m∠DEF?​
S_A_V [24]

Answer:

m∠DEF = 50

Step-by-step explanation:

∠DEG = ∠GEF

3y + 4 = 5y - 10

subtract 4 from both sides

3y = 5y - 14

subtract 5y from both sides

-2y = -14

divide by -2

y = 7

Add 7 into the equations:

3y + 4 + 5y - 10

3(7) + 4 + 5(7) - 10

21 + 4 + 35 - 10

25 + 25

50

4 0
3 years ago
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