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MrRa [10]
3 years ago
12

Find the value of x and please show how

Mathematics
2 answers:
Eduardwww [97]3 years ago
4 0
66.5 is the answer please let me know if I missed something
Triss [41]3 years ago
3 0
66. i think, i’m sorry i’m not sure
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Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses
emmasim [6.3K]
\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}
\\\\\\
\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby 
\begin{array}{llll}
\textit{now, we'll multiply by the}\\
\textit{conjugate of the denominator}
\end{array}\\\\
-------------------------------\\\\

\bf \textit{and recall }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
\textit{also recall that }i^2=-1
\\\\
-------------------------------\\\\

\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}
\\\\\\
\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}
\\\\\\
\cfrac{16}{65}+\cfrac{28i}{65}
5 0
4 years ago
What is −30−6r= -36 ?
Nadya [2.5K]

-30-6r=36

We move all terms to the left:

-30-6r-(36)=0

We add all the numbers together, and all the variables

-6r-66=0

We move all terms containing r to the left, all other terms to the right

-6r=66

r=66/-6

r=-11

7 0
3 years ago
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Please Help!
Murljashka [212]
(82,82,) (x+y) answer short
8 0
4 years ago
8 teams dived 23 pizzas equally
inessss [21]

Answer:

Divide the number of pizzas by the number of teams.

23/8

2 5/8

Each team received 2 5/8 pizzas.

:)

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3 years ago
16 wins to 12 losses
seropon [69]
The simplified ratio is 3:4
6 0
3 years ago
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