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ASHA 777 [7]
3 years ago
6

If (2i/2+i)-(3i/3+i)=a+bi, then b=

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

=  (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

=  5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

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A man burns 10 calories per minute mountain biking and 7.5 calories per minute in-line skating. His goal is to burn approximatel
Ipatiy [6.2K]
A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42

x = 42 > ( 42,0 )

10(0) + 7.5y = 420
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B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.

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8 0
3 years ago
4/5 + 3/4 =
marshall27 [118]

The topics you should learn are equating denominators and fractions. This is summing up simple fractions.

So we have to make denominators' numbers the same in order to sum up them all (we can sum fractions if the denominators are the same) , and we did it by cross product (that thing on the picture)

Equating by lcm (least common multiple) is the easiest way, because you might see bigger numbers on other questions, and cross product will bring much bigger numbers, so this technic might confuse you.

By the way lcm of 4 and 5 is already 20

Hope it helps!

5 0
3 years ago
Can someone help me answer
siniylev [52]

Answer: 9 kilos total thats it

Step-by-step explanation: Leaving the store Fatima thinks,“Each bag of groceries seems asheavy as a watermelon!”UseFatima’s idea about theweight of thewatermelon to estimate the total weight of 7 bags.c.The grocer helps carry about 9 kilograms. Fatima carries the rest.Estimate how many kilograms ofgroceries Fatima carries.d.It takes Fatima 12 minutes to drive to the bank after she leaves the store and then 34 more minutesto drive home.How many minutes does Fatima drive after she leaves the store?

5 0
3 years ago
One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32°
Sauron [17]
Answer: m∠1 = 32°
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°
5 0
3 years ago
The quotient of 2 and the sum of a number and 1.
snow_lady [41]

Answer:

2 / (x + 1).

Step-by-step explanation:

If the number is represented by x the expression is:

2 / (x + 1).

5 0
3 years ago
Read 2 more answers
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