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Sati [7]
3 years ago
6

I’m a mixed number. My denominator is the sixth prime number. My numerator is one less than my denominator. I am greater than fi

ve but less than six. What am I?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0
It is 4 \frac{12}{13}. 
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Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
AlekseyPX
The answer is
\frac{-6i-3}{5}.

Before we rationalize the denominator, we must simplify the numerator and denominator.  We evaluate the square root on the top, and combine like terms on the bottom:
\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
7 0
3 years ago
25x5+15x3-40x2 anyone?
Kipish [7]

25 * 5 + 15 * 3 - 40 * 2 =

125 + 45 - 80 =

170 - 80 =

90



5 0
3 years ago
What is -2x-3=y in standard form
just olya [345]
<span>-2x-3=y in standard form
= 
2x + y = -3

hope it helps</span>
6 0
3 years ago
PLEASE HELP ME (40 POINTS)
CaHeK987 [17]

For each equation give X a value and solve for Y, do this at least two times for each equation.

Plot those dots on a graph to draw two lines.

The solution is where the two lines cross.

You will see the lines cross at (-1,-2)

7 0
3 years ago
Kali trains for a race by running around a track. Each lap around the track is 400 meters . She runs 4 kilometers each day how m
Savatey [412]
30 laps is the definite answer to the question
4 0
3 years ago
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