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Hunter-Best [27]
3 years ago
12

=" \frac{ \sqrt{-4} }{(3+1)-(2+3i)} " alt=" \frac{ \sqrt{-4} }{(3+1)-(2+3i)} " align="absmiddle" class="latex-formula">  simplfy the expression
Mathematics
1 answer:
frozen [14]3 years ago
8 0
\sqrt{-4} can also be written as 2i 
where i = √-1

\frac{2i}{4-2-3i} =  \frac{2i}{2-3i}

Rationalizing denominator,

\frac{2i(2+3i)}{(2-3i)(2+3i)} =  \frac{4i-6}{4+9} =  \frac{4i-6}{13}
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if one card is drawn from a standard 52 card playing deck, determine the probability of getting a ten, a king or a diamond.
IceJOKER [234]
To find the answer:

The probability of getting a ten:

=4/52

The probability of getting a king:

=4/52

The probability of getting a diamond:

=52×1/4
=13/52

However,there would be king and ten of diamond which overlapped and therefore -2/52 would be in the equation.

We can then sum up to find the equation:

=4/52+4/52+13/52-2/52
=21/52-2/52
=19/52

Therefore the answer is 19/52.

Hope it helps!
4 0
3 years ago
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Dima020 [189]
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scatter plot, stem-and-leaf, histogram

8 0
3 years ago
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This needs to be simplified and clearly i don’t know the answer <br><br> -23b^4+(-7b^4)
vladimir2022 [97]

\text{Hello there!}\\ \\ \text{In this question, you need to simplify by adding like terms}\\ \\\text{Both terms are}\,\,b^4,\,\,\text{in which you can combine them}\\\\-23b^4+(-7b^4)\\\\\text{Add them}\\\\-30b^4\\\\\large\boxed{-30b^4}

5 0
3 years ago
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DaniilM [7]

Answer:

y-b+am/m

Step-by-step explanation:

y-b=m(x-a)

y-b=MX-ma

mx=y-b+ma

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4 0
2 years ago
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Musya8 [376]
7/2

The expression that best estimates 6 3/4 divided by 1 2/3 is 7/2. 6 3/4 (or 6.75) divided by 1 2/3 (or 1.66...) comes out to 4 1/20 (or 4.05). The closest value to this in the options available is 7/2 (or 3.5). This answer is only .55 away from the correct value, while the rest of the options are far less close.
7 0
3 years ago
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