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likoan [24]
3 years ago
7

1. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i)

Mathematics
1 answer:
lord [1]3 years ago
5 0

Step-by-step explanation:

(3 − 4i) (1 + 5i) − (2 − i)

3 + 15i − 4i − 20i² − 2 + i

1 + 12i + 20

21 + 12i

(a² + 3a − 7) (2a² − a + 4)

a² (2a² − a + 4) + 3a (2a² − a + 4) − 7 (2a² − a + 4)

2a⁴ − a³ + 4a² + 6a³ − 3a² + 12a − 14a² + 7a − 28

2a⁴ + 5a³ − 13a² + 19a − 28

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let us assume that the first company the cab flat rate is 5$ and the cap driver charges 2$ per mile .for the second company the cab flat rate is 3$ and the cab driver charges 3$ per mile.

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b.the equation we will choose is slope intercept since we know the

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y=mx+b

where

m :is the slope

b:is the y-intercept

y:total amount

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Answer:

Step-by-step explanation:

Law of Sines  recall   Sin(A) /a  = Sin(B) /b  

does the above make sense?

Next we need to find  the angle of A

notice that 16+75=91  :o

so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180)  so this is NOT a right triangle but that's okay, b/c law of sines still works fine.

then we want to find length of line AB

and if 89 = A  then a = BC

and if  75 = B the  b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and  lower case b much easier than you can with C, & c  :/   )

capitals are the angles while lower case are the length of the sides

then

Sin(89) / 29 = Sin(75) / b

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b = 28.0165

b = 28.0 ( to the nearest 10th)

we have the parts to plug in now

Sin(75) /

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