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dem82 [27]
3 years ago
14

What are the steps to find (2+2i)(5+3i)?

Mathematics
2 answers:
pshichka [43]3 years ago
7 0

Answer:

16i + 4

Step-by-step explanation:

(2 + 2i)(5 + 3i) =

= 2×5 + 2i×5 + 2×3i + 2i×3i

= 10 + 10i + 6i + 6i²

= 6i² + 16i + 10

= - 6 + 16i + 10

= 16i + 4

WITCHER [35]3 years ago
6 0

(2+2i)(5+3i)
10+6i+10i+6i^2
10+16i+6(-1)
4+16i
When you have an “i^2”, you also have a negative one. The simplified answer is 4+16i
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2 minutes and 45 seconds simplify so they have a common unit.
sp2606 [1]

Answer: 165 secs

Step-by-step explanation:

2 mins has 120 secs in it

120 + 45 = 165

3 0
2 years ago
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. Th
olga_2 [115]

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

A=P (1+rt)

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

5 0
3 years ago
What is -36 converted to radians?
anyanavicka [17]
-36° × π / 180°
= -0.2π rad
= -0.62831853072 rad hope this helps you
5 0
2 years ago
Read 2 more answers
What is the equation for a line that passes through the points (8,2) and (-7,2)
TiliK225 [7]

Answer:

y = 0x + 2

Step-by-step explanation:

Find the slope.

Slope = <u> y2 - y1</u>

              x2 - x1

Plug in the points.

Slope =    <u>2 - 2</u>         =   <u>0</u>

                -7 - 8            -15

Pick a point to plug into the y = mx + b formula

I picked (8,2)

Now plug in the point and slope.

(Your teacher might prefer you to use 0/-17, but it can be simplified to 0, so I'll just use that.)

Equation: (2) = 0(8) + b

                 2  = 0 + b

                 2 = b  (b = 2)

Now put your slope and the y-intercept into the equation, and it will be:

y = 0x + 2

It's a bit hard to show on keyboard, so I hope you understand.

5 0
3 years ago
The coordinates of the vertices of parallelogram QRST are glven. What would be the coordinates of
Art [367]

Answer: -2,3. 2,3 3,-3 -4 -3

Step-by-step explanation:

4 0
2 years ago
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