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sveticcg [70]
3 years ago
9

Simplify the expression shown below.(6+8i)(4-7i)

Mathematics
2 answers:
REY [17]3 years ago
7 0
<span>(6+8i)(4-7i)
=6(4-7i)  + 8i(4-7i)
= (6)(4)-(6)(7i)+(8i)(4) - (8i)(7i)
= 24 - 42i + 32i - 56i^2
</span>= 24 - 42i + 32i - 56(-1)
= 24 - 42i + 32i + 56
= 24 +56 - 42i + 32i 
= 80 - 10i (final answer)
Tema [17]3 years ago
5 0
Simplify the expression shown below.(6+8i)(4-7i)

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If Alex spends more than $150 today, he will overdraw his bank
sammy [17]

Answer:

he will overdraw his bank account by at least $25

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I DONT KNOW THESE! HELP!
kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

23. Opposite sides in the parallelogram are congruent, so

2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11

Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

3 0
3 years ago
Help plz know what you are doing!!!!!
andre [41]
Hey!
1. scalene
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7. scalene
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8. equilateral
5 0
3 years ago
Use properties to find sum or product of 4 + (6+21)
Maurinko [17]
You need to use  pemdas so first you do inside the parenthesis 6+21=27 then you add 4 27+4=31 that is your answer



4 0
3 years ago
Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)
alexgriva [62]

Answer:

10x + 5

Step-by-step explanation:

x = some number

10x = 10 multiplied by 'x'

10x+5 = five more than 10 multiplied by some number

4 0
2 years ago
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