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3 years ago

Perform the indicated operation and write the result in the form a+bi -8i(-6+2) +7(-2+6i)

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

7 0

(-8i*-6)+(-8i*2)+(7*-2)+(7*6i)= -48i+-16i-14+42i= -14-22i

3241004551 [841]3 years ago

6 0

Answer:

A. -62+26i

Step-by-step explanation:

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r-ruslan [8.4K]

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3 years ago

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago

What is the Greatest common factor of 18x^2 and 36x

adoni [48]

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So, we have to:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

It is observed that the GFC of both numbers is 18.

Then, the GFC of $18x ^ 2$ and $36x$ is:

18x

Answer:

18x

6 0

3 years ago

What is 48,345÷34,886

arlik [135]

Answer: 1,38

Step-by-step explanation: Because 48,345 ÷ 34,886 = 1,385799461101875, so I rounded off to 1,38

6 0

3 years ago

5. What is the solution of |3x-3|_<18?

Mrrafil [7]

Answer : D

WORK...
$|3x-3| \leq 18
$

PART 1:
$3x-3 \leq 18
 add 3 on both sides... 3x \leq 21 divide by 3 on both sides... x \leq 7$

PART 2:
$3x-3 \geq -18 add 3 on both sides... 3x \geq -15
 divide 3 on both sides... x \geq -5$

plug both answers together..
$-5 \leq x \leq 7$

8 0

3 years ago