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ollegr [7]
3 years ago
10

Simplify (8-7i)(-6+i)

Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

50 i - 41

Step-by-step explanation:

Simplify the following:

(-7 i + 8) (i - 6)

(8 - 7 i) (i - 6) = (8) (-6) + (8) (i) + (-7 i) (-6) + (-7 i) (i):

-6×8 + 8 i - 6 (-7 i) - 7 i×i

-6×8 = -48:

-48 + 8 i - 7 i (-6) - 7 i×i

-7 (-6) = 42:

-48 + 8 i + 42 i - 7 i×i

-7 i×i = -7 i^2:

-48 + 8 i + 42 i + -7 i^2

i^2 = -1:

-48 + 8 i + 42 i - 7-1

-7 (-1) = 7:

-48 + 8 i + 42 i + 7

-48 + 8 i + 42 i + 7 = (8 i + 42 i) + (7 - 48) = -41 + 50 i:

Answer: 50 i - 41

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For a convex 41-gon, what is the sum of the measures of the interior angles?
Sonja [21]
Given:

convex 41-gon
n = 41

Required:

Sum of interior angles.

Solution:

To solve for the sum of interior angles, we can use the formula:

Sum of interior angles = 180(n-2)°

Substituting,

Sum of interior angles = 180(41-2)°

Sum of interior angles = 7020°

Therefore, the sum of the measures of the interior angle of a convex 41-gon is 7020°.
7 0
3 years ago
Please help!!! I’ll give medals I’m stuck ;-(
AURORKA [14]
By inspection, LMNO is similar to PQRS.
For similar figures, corresponding sides are proportional, therefore

LM/PQ=MN/QR
Substituting values
4/2=6/c
Cross-multiply
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6 0
3 years ago
Aisha estimates the product of 12 and 2.4 by round in 2.4 to the nearest whole
sdas [7]

Answer:

I'm pretty sure this is the answer its 24 or 30

Step-by-step explanation:

Because first what you would do is round 2.4 to 2 then multiply it by 12 to get 24 if its not 24 it would be 28.8 then you round 28.8 to 30. Hope that helped! :)

3 0
3 years ago
Store 1 earned 10% of the money invested I it while store 2 lost 8% of the amount invested in it. The net total gain was $1,300.
Alex17521 [72]

Answer:

Store 1= $150

Store 2= $250

Step-by-step explanation:

Let the amount invested by store 1 be x while store 2 be y hence

10x-8y=1300 Eqn 1

Make x the subject of the formula for the first equation

10x=1300+8y divide both sides by 10

X=130+0.8y

6x+5y=2250 Eqn 2

Substituting where there’s x with 130+0.8y in equation 2 we obtain

6(130+0.8y)+5y=2250

780+4.8y+5y=2250

9.8y+780=2250

9.28y=2250-780=1470

Y=1470/9.8=150

X=130+0.8y= 130+0.8(150)=250

4 0
3 years ago
How many whole numbers between −32 and 77?
mylen [45]
109 numbers hope this helps :)
8 0
4 years ago
Read 2 more answers
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