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3 years ago

Simplify the given expression below: (7-3i)•(2-i)

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

when multiplying two binomials together we use the F.O.I.L. method:

First

Outer

Inner

Last

(7-3i)(2-i)

First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i

First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2

putting this together we get 14-7i-6i+2i^2

We combine like terms and end up with 2i^2-13i+14

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reya plays the guitar for 3 hours each lesson. She has 4 lessons each week. How many hours does Reya play thr guitar aftee 5 wee

Alborosie

3x4=12
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3 years ago

(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

6 0

2 years ago

What is the equation for the nth term of the arithmetic sequence.<br> 28, 25, 22, 19, ....

natka813 [3]

Answer:

31-3n

Step-by-step explanation:

d=-3

a1=28

an= 28+(n-1)(-3)=28-3n+3

an=31-3n

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3 years ago

What is 7a +6c+9a-15c

jeka94

7a + 6c + 9a - 15c

-- Look for all the 'a's 7a, 9a

-- Addum up 16a

-- Look for all the 'c's 6c, -15c

-- Addum up -9c

-- Write the results 16a - 9c

3 0

3 years ago

Read 2 more answers

X-4=-11 please work problem out it’s homework need help

alisha [4.7K]

X-4=-11

move -4 to the other side

to get X by itself

sign changes from -4 to +4

X-4+4= -11+4

X= -11+4

Answer:

X= -7

5 0

3 years ago