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Mariulka [41]
3 years ago
9

Using the distance formula |p - q| find the distance between -5 and 3.

Mathematics
1 answer:
Korvikt [17]3 years ago
6 0
Dancer will be eight
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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
Bagaimana cara membuktikan bahwa persamaan garis tegak lurus itu benar
Tems11 [23]
Ketika dua garis tegak lurus, kemiringan satu adalah timbal balik negatif dari yang lain.Jika kemiringan satu baris adalah m, kemiringan yang lain adalahCoba ini Drag poin C atau D. Catatan lereng ketika garis tegak lurus satu sama lain.
Ketika dua garis tegak lurus satu sama lain (di sudut kanan atau 90 °), lereng mereka memiliki hubungan khusus satu sama lain. Jika kemiringan satu baris adalah m maka kemiringan garis lainnya adalah timbal balik negatif m. 
7 0
3 years ago
PLEASE helppp. What equation describes a line that is perpendicular y=-2/7x+5 and has the same y-intercept as y = 3x - 2?
svp [43]

Answer:

y = 7/2 -2

Step-by-step explanation:

if the slope of the first problem is -2/7 then its perpendicular is 7/2 (the exact opposite) and since the y- intercept is the b in Y= mx +b the intercept of the equation you’re trying to find is -2

6 0
4 years ago
1. Find the Length of Line AD A(6, 2) D(-3, -2)
densk [106]

Answer:

5

Step-by-step explanation:

\sqrt{(2-(-2))^{2}  + (6-(-3))^2}

=\sqrt{4^{2}  + 3^{2} } \\

=\sqrt{25}

=5

8 0
3 years ago
Linda read 1/5 of a book on Friday and 2/7 of the book on Saturday. On Sunday she read 5/9 of the remaining pages. What fraction
insens350 [35]
Here, you just want to solve it by finding a common denominator.
1/5+2/7, because she read 1/5 and 2/7 of the book on separate days. The common denominator is 35.
7/35+10/35
=17/35
So that's how much of the book she read before Saturday.
Now it says that on Sunday she read 5/9 of the remaining pages, meaning:
1-17/35 should give us our answer
35/35-17/35=18/35
But since it says she read 5/9 of the remaining pages, we need to multiply 18/35 by 5/9 to get what 5/9ths of 18/35 is.
(18/35)(5/9)=2/7
Therefore she read 2/7ths of the book on Sunday.
3 0
4 years ago
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