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cestrela7 [59]
3 years ago
13

Multiply the complex numbers (5 − 3i) and (9 + 2i).

Mathematics
1 answer:
amid [387]3 years ago
7 0
The answer is

51-17i

Explanation :

5x95x2i-3ix9-3ix2i
45+10i-27i-6^2
45+10i-27i-6(-1)
45+10i-27i + 6
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What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2
lubasha [3.4K]

\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2}    \end{gathered}$}

Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Add 4 and 3 to get 7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Use the distributive property to multiply −4 times x 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Multiply −4 by 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] }  \end{gathered}$}

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Add 7 to both sides.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}

Divide both sides by −4.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}

The fraction \bf{\frac{-43}{-4}} can be simplified to \bf{\frac{43}{4}} by removing the negative sign from the numerator and denominator.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}

simplify

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}

<h2>{ Pisces04 }</h2>
8 0
2 years ago
Read 2 more answers
6(m + 2 + 7m)
Inga [223]

Part A: 6 ( 8m + 2) and 48m + 12

Part B: 48m - 48m = 12 - 12

Part C: 6 (10) = 6(10)

<h3>How to determine the expressions</h3>

1. The two expressions could be gotten thus;

6(m + 2 + 7m)

Collect like terms in the bracket

6 ( 8m + 2) ⇒ first expression

6(m + 2 + 7m)

Expand the bracket

6m + 12 + 42m

Collect like terms

6m + 42m + 12

48m + 12 ⇒ second expression

Part B:

6(m + 2 + 7m) = 48m + 2

Expand the bracket

6m + 12 + 42m = 48m + 2

Collect like terms

48m - 48m = 12 - 12

0 = 0

Part C:

Let the expression from A be 6 ( 8m + 2)

6(m + 2 + 7m) = 6 ( 8m + 2)

Let the number be m = 1

Substitute the values

6(1 + 2 + 7(1) ) = 6 (8(1) + 2)

6 ( 1 + 2 + 7) = 6 (10)

6 (10) = 6(10)

Learn more about algebraic expressions here:

brainly.com/question/4344214

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