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3 years ago

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:

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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
2. isosoles
7. scalene
8. scalene
5. isosoles
6. isosoles
7. scalene
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