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4 years ago

Simplify (3-4i)(5+2i)

Mathematics

1 answer:

Andre45 [30]4 years ago

6 0

Foil
15+6i-20i-8i^2
-8i^2=8
15+8+6i-20i
23-14i

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What formula to use <br> Answer

77julia77 [94]

Check the picture below.

now, since we know what "f" is, let us use the CNT triangle with the small COR one.

$\bf \cfrac{36+f+30}{36}=\cfrac{48+32+g}{48}\implies \cfrac{36+24+30}{36}=\cfrac{48+32+g}{48} \\\\\\ \cfrac{90}{36}=\cfrac{80+g}{48}\implies \cfrac{5}{2}=\cfrac{80+g}{48}\implies 240=160+2g \\\\\\ 80=2g\implies \cfrac{80}{2}=g\implies 40=g$

4 0

4 years ago

Find the common difference of the arithmetic sequence.

slavikrds [6]

Each time you are subtracting 1/9 to get the next term

For example, going from term 2 to term 3 is a difference of -1/9

(1 8/9) - (1/9) = 1 7/9

which is why the answer is choice A

7 0

3 years ago

Perform the indicated operations; reduce the answer to lowest terms.

kow [346]

a. 9/10

explanation:

• the denominators (bottom number) are the same so there is no need to change to a common factor

• because the fractions have common factors, you add the top numbers (3+6) to get 9

• then you put the top number over the 10 (9/10) and it’s simplified as much as possible

b. 3/4

explanation:

• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12

• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)

• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)

• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)

• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12

- both 9 & 12 are divisible by 3, so you simply by dividing both by 3 to get 3/4

c. 1/3

explanation:

•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6

• then, because both numbers are divisible by 2, you divide both by 2 and get 1/3

3 0

3 years ago

If 8 pounds of bananas cost $3.68, what is the cost per<br> pound?

12345 [234]

Answer:0.46

Step-by-step explanation

3.68 divided by 8 = 0.46

3 0

3 years ago

Read 2 more answers

the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o

maria [59]

The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
$\frac{x}{34000} = \frac{90}{100}$
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
$\frac{x}{30600} = \frac{74}{100}$
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644

8 0

3 years ago