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MatroZZZ [7]
3 years ago
10

Write the following roots as pure imaginary numbers:

Mathematics
2 answers:
notsponge [240]3 years ago
8 0

Answer:

9i

30√5 i

Step-by-step explanation:

√ -81

= √ 81  * √ -1

= 9i.

5√ -180

= 5i * √ 180

=  5i *  √36 * √5

= 5i * 6 *√5

= 30√5 i.

hjlf3 years ago
7 0

Answer:

Step-by-step explanation:

\sqrt{-81}=\sqrt{i^{2}*9^{2}}=9i\\\\\\ 5\sqrt{-180}=5\sqrt{i^{2}*3*3*2*2*5}=5\sqrt{i^{2}*3^{2}*2^{2}*5}=5*i*2*3\sqrt{5}\\=30i\sqrt{5}

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nadya68 [22]
If the ratio of girls to boys in Mr. Hansen's class is 4:5, and the ratio of girls to boys in Ms. Luna's class is 8:10, then the equation that correctly compares the ratio of both Mr. Hansen's class and Ms. Luna's class are 4/5 = 8/10.
3 0
3 years ago
Which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14
Vsevolod [243]

Answer:

f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\

option 1: x + 2

3 0
3 years ago
Suppose you want to learn more about the heights of the buildings in New York City. How would you choose a sample of the buildin
natulia [17]

Answer:

I'd use a Non-probability Sampling Method.

Explanation:

The question is already laced with criteria - Heights of Buildings in New York.

This means that there are certain buildings that won't fit in the sample. In a non-probability sample, objects or subjects are elected based on specified criteria that are not random. This means that not all objects/subject have a c<em>hance</em> of being included in the sample.

It is assumed that the question/assignment centers around high rise buildings.

Therefore, one storey buildings and bungalows that are within and outside New York will not be included in the sample.

Under the Non-Probability Sampling Method, it is essential to note that there are other subgroupings of sampling techniques. They are:

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Cheers!

3 0
3 years ago
Read 2 more answers
What is the surface area of a rectangular prism?<br><br>length : 3<br>width : 3<br>height = 5
elixir [45]
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
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So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
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Finally, you add all these measurements together adn that is the surface area. 
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4 0
3 years ago
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Natasha_Volkova [10]
Your answer is C :) blessings
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3 years ago
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