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andreyandreev [35.5K]
3 years ago
10

Which of the following best describes the set of all numbers of the form a+bi where a and b are any real numbers and i equals sq

uare root of -1?
A. Rational Exponents

B. complex numbers

C. complex fractions

D. Rational Exponents
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
<h3>Answer: B) Complex numbers</h3>

Complex numbers are always in the form a+bi with 'a' and 'b' as real numbers.

If b = 0 and 'a' is nonzero, then a+bi = a+0i = a which is strictly a real number

If a = 0 and b is nonzero, then a+bi = 0+bi = bi indicating that the number is now purely imaginary

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There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch
OverLord2011 [107]

Answer:

The number of students that bring their lunches is 12        

Step-by-step explanation:

Let

x -----> the number of students that bring their lunches

y -----> the total number of students in a class

we know that

The number of students that bring their lunches divided by  the total number of students in a class must be equal to 3/8

\frac{x}{y}=\frac{3}{8}

x=\frac{3}{8}y  -----> equation A

y=32 -----> equation B

substitute the value of y in equation A and solve for x

x=\frac{3}{8}(32)

x=12

therefore

The number of students that bring their lunches is 12

6 0
3 years ago
1Ox+6-8x=9x +12-8x-2
Goshia [24]

Answer:

X=4

Step-by-step explanation:

3 0
3 years ago
©<br>Find the area of a circle with radius, r = 6.53m.<br>Give your answer rounded to 2 DP.​
natita [175]

Answer:

133.96 meters squared

Step-by-step explanation:

To calculate the area of a circle, simply multiply the radius squared, by pi.

A = pi x r^2

A = pi x 6.53^2

A = pi x 42.6409

A = 133.9603382

The area of the circle is approximately 133.96 meters squared.

Hope this helps! :)

7 0
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The side lengths of the smaller cube is 3 1/2 inches by 3 1/2 inches by 3 1/2 inches
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7 0
3 years ago
I'm completely lost
Vladimir [108]
Let x be the number of racing bikes, and let y be the number of mountain bikes.
1) 140x + 110y = 26150
2) 180x + 120y = 31800
Solve for one of the variables and plug that in to the other equation:
From equation 1: 140x = 26150 - 110y
x = (26150-110y)/140
Plug this into equation 2:
180((26150-110y)/140) = 31800
Solve for y, and find that y = 85 (the number of mountain bikes).
Plug that y into either equation to find x:
140x + 110(85) = 26150
x = 120 (the number of racing bikes).
So the answer is: 120 racing bikes and 85 mountain bikes.
4 0
3 years ago
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