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cricket20 [7]
3 years ago
7

Write √12 + √-9 as a complex number.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Step-by-step explanation:

you're going to have to break the argument of the root up into smaller numbers and square root those smaller numbers to obtain the answer.

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The first four terms of an arithmetic sequence are 28, 20, 12, and 4. which term of the sequence is -36
Charra [1.4K]
For an arithmetic sequence, the nth term is the first term plus (n-1)×the differece
the first term is 28, the difference between each adjacent number is 8
so -36=(28)+8(n-1)
8(n-1)=64
n-1=8
n=9
the 9th term is -36
7 0
3 years ago
What’s the range of these temperatures -15, -6, 22, 10, -11
Nadya [2.5K]

range = largest - smallest

    = 22 - (-15)

   = 22 + 15

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6 0
3 years ago
Using these complex zeros (1,1,-1/2,2+i,2-i) factor f(x)=-2x^5 +11x^4 -22x^3 +14x^2 +4x -5
Marianna [84]
\bf \begin{cases}
x=1\implies &x-1=0\\
x=1\implies &x-1=0\\
x=-\frac{1}{2}\implies 2x=-1\implies &2x+1=0\\
x=2+i\implies &x-2-i=0\\
x=2-i\implies &x-2+i=0
\end{cases}
\\\\\\
(x-1)(x-1)(2x+1)(x-2-i)(x-2+i)=\stackrel{original~polynomial}{0}
\\\\\\
(x-1)^2(2x+1)~\stackrel{\textit{difference of squares}}{[(x-2)-(i)][(x-2)+(i)]}

\bf (x^2-2x+1)(2x+1)~[(x-2)^2-(i)^2]
\\\\\\
(x^2-2x+1)(2x+1)~[(x^2-4x+4)-(-1)]
\\\\\\
(x^2-2x+1)(2x+1)~[(x^2-4x+4)+1]
\\\\\\
(x^2-2x+1)(2x+1)~[x^2-4x+5]
\\\\\\
(x^2-2x+1)(2x+1)(x^2-4x+5)

of course, you can always use  (x-1)(x-1)(2x+1)(x²-4x+5)  as well.
7 0
3 years ago
What is fifty four divides by four?
galben [10]
54 divided by four is 13.5 or 27/2
4 0
3 years ago
Read 2 more answers
Evie and her father are comparing their ages. At the current time, Evie's father is 36 years older than her. Theee years from no
artcher [175]
Let F be the father's current age, and E be Evie's current age.
F = E + 36                 this is the current relation between the ages
F + 3 = 5(E + 3)        this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
         E + 39 =  5E + 15
                24 = 4E
                  6 = E
Evie's current age is 6.
7 0
3 years ago
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