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arsen [322]
3 years ago
12

The modulus of (3 - 4i)^4 is _____. 5 20 81 625

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

\sqrt{3^2+(-4)^2} = \sqrt{9+16} = \sqrt{25} = 5, thus

| (3-4i)^{4} |

= 5^{4}

= 625

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Which of the following terms best describes three points that all lie in a straight line?A. CollinearB. CongruentC. EqualD. Midp
Ket [755]

Answer:

A. Collinear

Step-by-step explanation:

three points that all lie in a straight line

A. Collinear- means along the same line

B. Congruent  - means the same

C. Equal  = means the same

D. Midpoint= means the middle

8 0
3 years ago
Read 2 more answers
14, 15 and 16 please
WARRIOR [948]
14). (Take π value as 22/7)
circumference = 66in
2πr = 66in
2×22/7×r = 66
r = 66×7/2×22
r = 21/2in
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therefore diameter of the circle = 21in

15). (Take π value as 3.14)
Circumference = 3.14m
2πr = 3.14m
2×3.14×r = 3.14
r = 3.14/3.14×2
r = 1/2m
Therefore the radius of the circle = 0.5m

16). (Take π value as 22/7)
Circumference = 33km
2πr = 33km
2×22/7×r = 33
r = 33×7/2×22
r = 21/4
d = 2r
d = 2×21/4
d = 21/2km
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4 0
3 years ago
Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le
dimulka [17.4K]

Answer: The answer is (22, 15).

Step-by-step explanation:  Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.

Then, according to the given information, we have

x-y=7,\\\\3x+2y=96.

Multiplying the first equation by 2 and adding to the second equation, we have

2x+3x=14+96\\\\\Rightarrow 5x=110\\\\\Rightarrow x=22.

So,

y=x-7=22-7=15.

Therefore, Leonard has 22 cars and Liam has 15 cars.

Thus, (22, 15) is the solution to the given system.

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2 years ago
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Answer:

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Help fast it’s for a test
Verdich [7]

Answer:

All real numbers is the answer

Step-by-step explanation:

6 0
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