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valkas [14]
3 years ago
9

Which expression is equivalent to (4 + 7¡)(3 + 4¡)?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

37i-16

Step-by-step explanation:

(4+7i)(3+4i)

12+21i+16i+28i^2

12+37i+28(-1)

37i+12-28

37i-16

You might be interested in
A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball tr
Tcecarenko [31]

Answer:

855

Step-by-step explanation:

1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:

Time | Inches traveled

0.1     | 90

0.2    | 85

0.3    | 80

0.4    | 75

0.5    | 70

0.6    | 65

0.7    | 60

0.8    | 55

0.9    | 50

1.0     | 45

1.1      | 40

1.2     | 35

1.3     | 30

1.4     | 25

1.5     | 20

1.6     | 15

1.7     | 10

1.8     | 5

1.9     | 0

90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855

6 0
3 years ago
A Jar contains five red marbles and three green marble. A marble is drawn at random and not replaced. A second marble is
olga_2 [115]

Answer:

20/56 or 5/14

Step-by-step explanation:

Prob of red = 5/8

Second red prob = 4/7

multiply those = 20/56

simplify if needed = 5/14

3 0
3 years ago
Three sections of a fence need to be painted. Each section of the fence is made of 4 equal-sized boards. Alex paints 1/6 of the
zepelin [54]
Part A:

Total boards = 3 sections of 4 boards = 12 boards

Alex paints: 1/6 of 12 boards = 2 boards

Bobby paints: 2 x Alex = 1/3 of 12 boards = 4 boards

Charles paints: 1 board

David paints: 12 - (Alex + Bobby + Charles) = 12 - 7 = 5 boards

-This means that David painted the largest part of the fence

Part B:

The fraction of the fence that David painted = 5 boards /12 total boards = 5/12
3 0
3 years ago
A downtown parking lot charges $4.00 per hour for the first two hours and $1.50 for each additional hour thereafter. Raul paid $
Eddi Din [679]

Answer:

5 hours

Step-by-step explanation:

2 first hours cost 4.00 which equals 8.00

Additional hours cost 1.50

So we know he already has to pay 8.00 for the first 2 hours

now you just subtract 8.00 from 12.50 which equals 4.50

If one hour is 1.50 Then 2 hours is 3.00 so we subtract 3.00 from 4.50 which equals 1.50 and 1.50 equalss another hour

y=4x+1.50

3 0
3 years ago
Find the arc length shown In red. Leave your answer in terms of pi.
soldi70 [24.7K]

Answer:

6pi

Step-by-step explanation:

you would do 180-120 to get 60 degrees that will be your theta. then devide 36 by 2 to get your radian. then pi/3 (beacuae 60 degrees is equal to pi/3) multplied by 18 and you get 6pi

6 0
3 years ago
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