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Grace [21]
4 years ago
8

Find the quotient of (5+2i)(6-4i)/(2+i) and express it in simplest form.

Mathematics
2 answers:
telo118 [61]4 years ago
5 0

Answer:

\frac{(5+2i)(6-4i)}{(2+i)}=\frac{68}{5}-\frac{54i}{5}

Step-by-step explanation:

We need to find \frac{(5+2i)(6-4i)}{(2+i)}

Solving

   \frac{(5+2i)(6-4i)}{(2+i)}=\frac{(30-20i+12i-8i^2)}{(2+i)}=\frac{(30-8i-8(-1))}{(2+i)}=\frac{(38-8i)}{(2+i)}\\\\\frac{(38-8i)}{(2+i)}=\frac{(38-8i)(2-i)}{(2+i)(2-i)}=\frac{(76-38i-16i+8i^2)}{(4-2i+2i-i^2)}=\frac{(76-54i+8(-1))}{(4-(-1)))}=\frac{(68-54i)}{5}=\frac{68}{5}-\frac{54i}{5}

So, \frac{(5+2i)(6-4i)}{(2+i)}=\frac{68}{5}-\frac{54i}{5}

zhuklara [117]4 years ago
3 0
I believe it's 38-8i/2+1
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I need so much help please somebody help me
marysya [2.9K]

Answer:

$448

Step-by-step explanation:

You need to find 2% of 400.00, so you would do this: 0.02 · 400 = 8

That means $8 is 2% of 400, so all you need to do is multiply 8 by 6 to get 48. Add that number to the original $400, and you get $448.

<em>Hope this answers your question!</em>

6 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
Genrish500 [490]

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }

Let's plug in what we know.

d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }

Evaluate the double negative.

d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }

Evaluate the parentheses.

d = \sqrt{(5)^2 + (-12)^2 }

Evaluate the exponents.

d = \sqrt{(25) + (144) }

Add.

d = \sqrt{(169) }

Evaluate the square root.

d = 13

13 units

Hope this helps!

4 0
3 years ago
Read 2 more answers
Solve this system of equations by graphing. First graph the equations, and then type the solution.
tiny-mole [99]
Here the graph and what else you need

7 0
4 years ago
Does this look correct?
Neko [114]
That is not correct.  I will help you.  Begin by subtracting the 9x from both sides, like this:  9x - 9x + 2y = 6 - 9x.  That simplifies to 2y = -9x + 6.  Now divide both sides by 2 to get y all alone, like this:  \frac{2y}{2}=- \frac{9}{2}x+ \frac{6}{2}.  That reduces down to y=- \frac{9}{2}x+3.  That is slope-intercept form.  y = mx + b.
7 0
3 years ago
Please answer the picture
dimaraw [331]
The area is equal to 230 CM.
area for rectangle :
area = width times length
area = 7 x 20 = 140CM
area for triangle:
area = 1/2 times base times height
area = 1/2 x 20 x 9 = 90CM

ADD:
140+90 = 230 CM
3 0
3 years ago
Read 2 more answers
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