All categories

3 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then b=

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

= (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

= 5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

You might be interested in

Find the value of this expression if x = -9.<br> x2 + 1<br> x+7

Mamont248 [21]

Answer:

-41

Step-by-step explanation:

You would replace all x's with -9 and solve.

6 0

3 years ago

Find the equations of the tangents to the curve x=9t2+3, y=6t3+3 that pass through the point (12,9).

Xelga [282]

Answer:

The equation will be " $y=x-3$ ".

Step-by-step explanation:

Given:

Points (12, 9) = (x, y)

⇒ $x=9t^2+3$

then,

$\frac{dy}{dt}=18t$

or,

⇒ $y=6t^3+3$

then,

$\frac{dy}{dt}=18t^2$

⇒ $\frac{dy}{dx}=\frac{18t^2}{18t}$

$=t$

By using the point slope form.

The equation of tangent will be:

⇒ $y-9=1(x-12)$

$y-9=x-12$

$y=x-12+9$

$y=x-3$

4 0

3 years ago

Cary sets up a checking account with an initial balance of $27,700, and the rent for her

jek_recluse [69]

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

5 0

3 years ago

Help I need this by tomorrow

creativ13 [48]

not very clear queation

5 0

3 years ago

Read 2 more answers

Find the real solutions of the equation by graphing. x^2 + 2x + 2 = 0

Furkat [3]

<span>for example, (1;5)
-----------------------------</span>