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3 years ago

Given the expression (8 + 6i) − (−2 + 7i), perform the indicated operation and write the answer in the form a + bi

Mathematics

1 answer:

Oliga [24]3 years ago

6 0

We can distribute the negative to get 8 + 6i + 2 - 7i, and we can simplify that to get 10 - i.
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Hope this helps!

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2 If A= 4 3 find A1 using elementary row operations.

MA_775_DIABLO [31]

Answer: $A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]$

Step-by-step explanation:

$\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

$\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right]$

$Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right]$

$Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]$

5 0

3 years ago

Hey can you please help me posted picture of question:)

polet [3.4K]

The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B

4 0

3 years ago

Read 2 more answers

Simplify the expressions by combining like terms 10r - 5r + 3r - 8r

Yuri [45]

Answer:

Step-by-step explanation:

Combine like terms, perform the operations with the coefficients of the variable, then write the variable.

10r - 5r + 3r - 8r

= 5r + 3r - 8r

= 8r - 8r

= 0

7 0

3 years ago

Read 2 more answers

5 + 4x + 6 - 2x explain how you would do it

Alona [7]

Answer:

11+2x

Step-by-step explanation:

5+6=11

4x-2x=2x

8 0

3 years ago

Read 2 more answers

Members of Alachua District Choir were asked, when given the choice between Romanticism or Gothic

zalisa [80]

Answer:

$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

Step-by-step explanation:

Given

Romanticism

$Male = 48$

$Female = 59$

Gothic

$Male = 63$

$Female = 62$

Required

Complete the table (See attachment for complete question)

The table can be represented as:

$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

The "total" column represents the number of males and female sampled, respectively.

$Male = 48 + 63 = 111$