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kumpel [21]
3 years ago
6

Find |4 + 3i| |4 + 3i|. . . . Please show all your work. 'i' is an imaginary number

Mathematics
1 answer:
Helga [31]3 years ago
8 0
\bf \textit{recall that }\qquad i^2=-1\\\\
-------------------------------\\\\
|4+3i|~|4+3i|\implies (4+3i)(4+3i)\implies 16+12i+12i+9i^2
\\\\\\
16+24i+9(-1)\implies 16+24i-9\implies 7+24i
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What should you do to both sides to solve the following equation? t 15 t15 + 10 = 14 Subtract 14 then multiply by 15 Subtract 15
seraphim [82]

Answer:

substract 10 and multiply 10

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3 years ago
I need the answer fast
Fantom [35]

Answer:

B. What was the highest temperature this month?

Step-by-step explanation:

Rory is recording the <em>high</em><em>est</em><em> temperature</em> for the duration of the day for month's worth of data.

B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.

A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.

C. is the opposite of what Rory had recorded, and without data, he cannot answer it.

D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.

~

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3 years ago
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jasenka [17]

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2 years ago
Which is the height of the triangle?<br> ( PIC IS PROVIDE PLS HELP ME)
zysi [14]
<h3>Answer: 80 meters</h3>

This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).

So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

x^2 + (60)^2 = (100)^2

x^2 + 3600 = 10000

x^2 = 10000 - 3600

x^2 = 6400

x = sqrt(6400)

x = 80

Each smaller right triangle has side lengths of 60, 80, 100

Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.

5 0
3 years ago
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Answer choice <br> D) A worker with 15 years of service gets 5 weeks of vacation and each year.
otez555 [7]

Answer: it seems to be D, but the equation makes practically no sense!

The value of the factor changes for the different amounts of service years and vacation weeks.

Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.

If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33

If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.

7 0
3 years ago
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