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Elina [12.6K]
4 years ago
8

(20 points) Simplify The Expression with work/steps (8+3i) + (-2+ i)

Mathematics
1 answer:
zimovet [89]4 years ago
6 0

Given the expression (8+3i)+(-2+i)

We need to simplify it.

(8+3i)+(-2+i)

First we have to remove the parenthesis.

8+3i-2+i

As we know that multiplication of positive and negative is negative.

Now we will add or subtract like terms. Like terms means here i with i and constant term with constant term. So here we will add 3i and i. Also subtract 2 from 8.

8-2 +3i+i

6+4i

We have got the required answer.

The simplified answer is 6+4i.

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The volume of a cone is 18π cubic feet. If the height of the cone is 6 ft, what is the radius of the cone? (V = 1 3 πr2h)
svetoff [14.1K]

Answer:

Volume = 1/3πr^2h

18π = 1/3πr^2 x 6

18 = 2r^2

9 = r^2

r = 3 ft.

Hope this helps you!


8 0
4 years ago
Select the quadrant or access where are each ordered pair is located on a coordinate plane
NISA [10]

Answer:

Below.

Step-by-step explanation:

(-3, 9) - Quadrant II.

(6, -6) - Quadrant IV.

(0, -1 1/2) -  x-axis 0, y-axis -1/1/2

6 0
3 years ago
One photo shop charges $0.36 per print. Another photo shop charges $2.52 plus $0.08 per print. Juan finds that the cost of print
koban [17]

Juan have to print 9 photos.

<u><em>Explanation</em></u>

Suppose, Juan have to print x number of photos.

First photo shop charges $0.36 per print.  So, the total cost to print x number of photos in this shop =0.36x dollar.

Second photo shop charges $2.52 plus $0.08 per print. So, the total cost for printing x number of photos = (2.52+0.08x) dollar

As, the cost of printing is the same at both shops, so.....

0.36x=2.52+0.08x\\ \\ 0.36x-0.08x= 2.52\\ \\ 0.28x=2.52\\ \\ x=\frac{2.52}{0.28}=9

So, Juan have to print 9 photos.

6 0
3 years ago
14 + 10y ≥ 3(y + 14) <br> A. y ≥ –4<br>B. y ≥ 4 <br>C. y ≥ 8<br>D. y ≥ 6
arsen [322]

Answer:

B

Step-by-step explanation:

Given

14 + 10y ≥ 3( y + 14) ← distribute

14 + 10y ≥ 3y + 42 ( subtract 3y from both sides )

14 + 7y ≥ 42 ( subtract 14 from both sides )

7y ≥ 28 ( divide both sides by 7 )

y ≥ 4 → B

7 0
3 years ago
Write the number in standard notation. 4.16 × (10) ^–5
yaroslaw [1]

Answer:

.0000416

Step-by-step explanation:

Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left

4 0
4 years ago
Read 2 more answers
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