A line with slope -2 passes through the point (-2,3). What is the equation of the line?

Find the quotient of these complex numbers (4-6i)/(2-5i)

Yakvenalex [24]

Answer:

$\frac{38}{29} + \frac{8}{29}i$

Step-by-step explanation:

We have to find the quotient of the division of complex numbers $\frac{(4 - 6i)}{(2 - 5i)}$ .

Now, we have to get the expression in simplified form.

$\frac{(4 - 6i)}{(2 - 5i)}$

= $\frac{(4 - 6i)(2 + 5i)}{(2 - 5i)(2 + 5i)}$ {Rationalizing the denominator}

= $\frac{4(2 + 5i) - 6i(2 + 5i)}{2^{2} - (5i)^{2}}$

= $\frac{8 + 20i - 12i - 30(i)^{2}}{4 + 25}$

{Since, i = √(- 1) i.e. square root of negative one, hence, i² = - 1}

= $\frac{8 + 30 + 8i}{29}$

= $\frac{38}{29} + \frac{8}{29}i$ (Answer)

8 0

3 years ago

Brandy solved 1/6/ 5 using a related multiplication expression. What multiplication expression did she use?

Advocard [28]

<h3><u>Question:</u></h3>

Brandy solved 1/6÷ 5 by using a related multiplication expression. which multiplication expression did she use

<h3><u>Answer:</u></h3>

The expression that she can use is $\frac{1}{6} \times \frac{1}{5}$

<h3><u>Solution:</u></h3>

<em><u>Given that Brandy solved the following expression</u></em>

$\frac{1}{6} \div 5$

We have to find the multiplication expression she used

From given expression,

$\frac{1}{6} \div 5$

We can convert the division symbol to multiplication

Convert the fraction division process to a multiplication process by using the following steps:

Change the “÷” (division sign) to “x” (multiplication sign) and invert the number to the right of the sign.

Multiply the numerators. Multiply the denominators

Therefore,

$\frac{1}{6} \div 5 = \frac{1}{6} \times \frac{1}{5}$

$\frac{1}{6} \div 5 = \frac{1}{6} \times \frac{1}{5} = \frac{1}{30}$

Thus, the expression that she can use is $\frac{1}{6} \times \frac{1}{5}$

5 0

3 years ago

How many 3/4 can fit into 3?

dolphi86 [110]

Answer:

3

Step-by-step explanation:

6 0

3 years ago

Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?

wolverine [178]

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps

6 0

4 years ago

A B C D E Confirm Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did

Paha777 [63]

It would be over 12% (11.98375085%)

Lets break it down:

You need to find what percent 177 is of 1,477.
To do this, you need to do 177÷1,477 to get 0.1198 and so on

(To find a percent from a decimal, you move the decimal point 2 places to the right)

If you find the percent, it would be 11.98 (and so on) percent. Rounded to the nearest 1%, it would be 12%

Hope this helps!

4 0

4 years ago