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Maslowich
3 years ago
10

(2+2i)(5+3i) step by step (4 steps)

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer: 4 + 16i

<u>Step-by-step explanation:</u>

  (2 + 2i)(5 + 3i)

= 2(5 + 3i) + 2i(5 + 3i)      <em>combine the two factors by multiplication</em>

= 10 + 6i + 10i + 6i²         <em>distribute</em>

= 10 + 6i + 10i + 6(-1)       <em>substitute -1 for i²</em>    

=  4 + 16i                         <em>add like terms (6i + 10i) </em>

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Which pair of points have equal x coordinates?<br>​
olga_2 [115]

Answer:

Q and R

Step-by-step explanation:

Q = (-5, 6)

R = (-5, -7)

They both have the same x-coordinates.

4 0
3 years ago
Read 2 more answers
CDs R Us sells books on tape and on Cd. Tapes sell for $10 and Cds sell for $15.
jeyben [28]

Answer:

10 tapes and 6 Cds

Step-by-step explanation:

As tapes sell for $10 and CD sell for $15, let t be the number of tapes bought and c the number of cds, we can write an equation for the expenditure in the form:

10c + 16t = expenditure

We also n=know she spent 220, so:

10c + 16t = 220

As she bought 16 items, the sum of CD and tapes must be equal to 16. So:

c + t = 16

If we take this last equation and subtract t in both sides:

c = 16 - t

We got the number of CD depending on the number of tapes. We can replace this in the first equation to get t:

10 [16 - t] + 16t = 220

160 - 10 t +16t = 220

160 + 6t = 220

If we subtract 160 in both sides

6t = 220 - 160

6t = 60

Dividing both by 6:

t = 60/6 = 10

So, she purchased 10 tapes. As in total she purchased 16 items she must have purchased 6 cds.

Solution: She purchased 10 tapes and 6 CDs

4 0
4 years ago
Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta
jarptica [38.1K]

Answer:

P(x < 535.8) = 0.64

P_{64} = 535.8

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64  

Calculation the value from standard normal z table, we have,  p(z

\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8

P(x < 535.8) = 0.64

P_{64} = 535.8

8 0
3 years ago
Peter wants to use 75-watt lightbulbs and other electronics in his tree house. He has one outlet with a maximum of 900 watts. Wh
ohaa [14]

Expression is 900 - 75n

Step-by-step explanation:

  • Step 1: Maximum watts that can be used is 900W. Find amount of watts used by n light bulbs.

⇒ Watts used by n light bulbs = 75 × n = 75n

  • Step 2: To find the remaining amount of wattage, subtract the maximum possible W and the watts used by the light bulbs.

⇒ 900 - 75n

8 0
3 years ago
Read 2 more answers
12. Use these functions to answer this question.
stira [4]

p(x)=x^2-x-6

q(x)=x-3

p(x)-q(x)=x^2-x-6-(x-3)=x^2-x-6-x+3=\boxed{x^2-2x-3}

The answer is C.

Hope this helps.

6 0
3 years ago
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