Questions on Algebra: Complex Numbers answered by real tutors!

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Question 235195: I think that my problem falls under this topic. I am in Algebra 2 and I am stuck on this one problem. Solving Systems of Equations in Three Variables.
Here's the problem:
1.)2x-y+z=1
2.)x+2y-4z=3
3.)4x+3y-7z=-8
So here's what I tried to do:
First, I put equations 1 and 2 together and used the elimination method and I got -5y+9z=-5
so that would be the 4th equation
Then, I put equations 2 and 3 together and used elimination again and got -5y+9z=-20
which would be the 5th equation
I tried to put equations 4 and 5 together since they had like terms but it just didn't seem to work out well at all. Asking for your help and thanking you in advance, bthnydyson

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 235444: This is a word problem, I am terrible with word problems.
After leaving Moose Jaw, Hanson drove
200 kilometers at x km/hr and then decreased his speed by
20 km/hr and drove 240 additional kilometers. Make a table
like the one in Exercise 87.Write a rational expression for
his total traveling time. Evaluate the expression for x = 100.ms.

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Question 235867: how can you show that √3+i/2 is a cube root of i
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Question 235440: I am having problem with this problem complex simplifying fraction.
2x-4/xy^2/3x-6y/x^3y

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Question 235955: 3 roots of 28x squared y cubed t to the 11

do you take out 2X'S, 3y's , and 3 t's first

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Question 235915: Show a complete solution.
Big plane. A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?

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Question 236214: Hello,
I'm to find the third roots of 343i written in polar form with arguments in radians. I don't know how to approach this one. Is it actually "0 + 343i"? If so, I find the absolute value to be 343. Then tan (b/a) = tan (343/0) which is undefined. How do I find the angles?
Please help me as I'm lost...

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Question 236941: How would you slove this word problem?
A plane traveled 1080 miles to San Francisco and back. The trip there was with the wind. It took 10 hours. The trip back was into wind. The trip back took 15 hours. What is the speed of the plane in still air? What is the speed of the wind?

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Question 236939: write the complex number 13 + srq root -9 in standard form.
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Question 237162: 6+2√3
-----------
8-7√3

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Question 237233: Atmospheric pressure P at an elevation of a feet above sea level is given by
P=P0e-0.00004a
Where P0 is the pressure at sea level,which is approximately 29.9 in inches of mercury(Hg).
Explain how a barometer, or some other device for measuring atmospheric pressure , can be used to find the height of a skyscraper.

Click here to see answer by Theo(13342) About Me 

Question 236724: i really dont know but its about remain restriction and could you please help me?
the problem is:
Y=5X/3X+9?
can you please help me?

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Question 236724: i really dont know but its about remain restriction and could you please help me?
the problem is:
Y=5X/3X+9?
can you please help me?

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Question 237884: Prove how 3 is irrational
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Question 238026: solve for x and y
(5+2i)+(x+yi)=4-3i

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Question 238211: combine terms
-3c-4b+2a-b-c-7a
how do i solve this?

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Question 238277: +5x%5E2%2B18=3+
i dont understand the whole i thing

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Question 238277: +5x%5E2%2B18=3+
i dont understand the whole i thing

Click here to see answer by College Student(505) About Me 

Question 238358: Please help me solve this equation (-5-2i)(3+7i)
Click here to see answer by stanbon(75887) About Me 

Question 238652: Evaluate +%28+1+%2B+i+%29%5E12+ by using De Moivre's Theorem. Express the result in rectangular form.
Thank you!

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Question 238734: how do you find the square root of 25/3 using complex numbers?
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Question 238734: how do you find the square root of 25/3 using complex numbers?
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Question 238741: Use de Moivre's Theorem to find the square root of -5+12i.
r=13 √ 25+144 = √ 169
arctan= (12 ÷ 5) = 1.1760...
13(cos 1.7600... +2πn + isin 1.1760...)
13^(1/2)(((cos 1.1760... + 2πn)/2)+((isin1.76)/2)
This is what I have done so far, please tell me if it is correct, and I am unsure as to what steps to make next.

Click here to see answer by Alan3354(69443) About Me 

Question 238815: Can you please help me sove this problem. I use the quadratic formula, but I get stuck so maybe that's not the method to use on this problem. Can you help me please?
x%5E2%2B8x%2B32=0

Click here to see answer by Alan3354(69443) About Me 

Question 238836: Hello,Well im stuck on this Quadratic formula.I really need your help, because I tried to do it my self but im not doing it right I guess because the answer im getting is not the answers provided. Can you help me please?
Problem:x^2-8x+30=0
My work:a=1, b=-8, c=30
x=[8+-(-8^(2)-4(1)(30))^(1/2)]/2(1)
=[8+-(64-120)^(1/2)]/2
=[8+-(-56)^(1/2)]/2
=[8+-2i(14)^(1/2)]/2
=4+-i(14)^(1/2)
My options:
A.) -4+4i,-4-4i
B.)4+4i,4-4i
C.)4+8i,4-8i
D.)-4+8i,-4-8i

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Question 239615: How do you solve x^2+4? Is it 2i or +/- 2i?
Thanks.

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Question 239713: (3+ root negative four) (4+ root negative 1)
i made the root negative four in the first parenthesis i root 2 and the negative root i in the second parenthesis 4i. im not sure what to do next thanks

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Question 239709: 3s squared +2 = -62
I subtracted 2 so that 3s squared = -60 and divided -60 by 3, giving me -20. I then had s squared = -20 and, since you can't have negative square roots, i put S= + or - 2 root 5, but im not sure if that is right.

Click here to see answer by edjones(8007) About Me 

Question 239677: I have an algebra II quiz on complex numbers and im not sure if i understand any of it...
this is a problem I attempted to work on but im not sure if I am doing the right things in order to solve it out.
heres the equation/problem:
(2+3i) + (7+i)
14+3i2<---( i squared)
14-3
Answer: 11



Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 239948: I have a couple of questions that I am stuck with...
(1/4x+3)squared = 48
options are
A.{-12+16 suared root3}, -12-16squareroot 3}
B.{12+16square root 3, 12-16square root 3}
C.{16squareroot3 - 12, 16square root 3+12}
D.{-3+4square root3 over 4, -3-4square root 3 over 4}
Square root 3x+10 = 5 - 2x
options are
A. 3/4
B. 5/4, 9
C. 5
D.3/4, 5
Last one is
square root 2x+5 - square root x-2 = 3
Please help. Thank you

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Question 239998: 5x^2+500=0
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Question 240195: using the property of exponents can you write the complex number in standard form please =]
3+i^3

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Question 240201: hi again =]
i have a similiar question to the previous one, using the property of exponents can you write the complex number in standard form?
2+i^2
and
5-i^4
thank you!

Click here to see answer by solver91311(24713) About Me 

Question 240496: How can you know how many number there are in a given sequence?
For example from 1 to 100, there are 100 numbers
From 100 to 1000 there are 901 numbers(I know because my teacher tells me)
How can you know right away how many numbers there are?
Please explain a little bit carefully! Thanks for your helps!

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Question 240571: 2-i/3-4i
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Question 240605: (4-3i)-(7+8i)
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Question 240798: my question is what is the square root of -12 divided by the square root of -3? im in pre calc and it has been a long time since i had to do this so if you could also provide a good explanation of complex numbers that would be great my teacher gave me notes but she didnt give any explanation because she wasnt there so they dont make any sense to me
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Question 241711: I have to solve the complex number system: 4x^4+7x^2-2=0
I also have to then graph it including all x and y-intercepts. I tried using the quadratic equation, but the answers I got don't work, so I guess I'm doing it wrong. I also tried to solve it by completing the square, but that doesn't work either.
Step by step instructions would be very helpful.

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Question 241717: I need to sketch the graph of h(x)=x^3/x^2+1 and include all intercepts and asymptotes. The only thing I can figure out is that it has a slant asymptote since the power of the numerator is one higher than the power of the denominator. Can anyone help me figure out how to work this out step by step?
Click here to see answer by checkley77(12844) About Me 

Question 240814: i need help again my question is (-4 - 3i)+(-6 + 8i)
Click here to see answer by College Student(505) About Me 

Question 242489: One root of the equation z3 – 10z2 + 37z + p = 0, where p is real, is z = 3 + 2i.
Find the value of p and the other two roots.

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Question 242415: 2vsquared-5v-25=0
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Question 242415: 2vsquared-5v-25=0
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Question 242786: square root of p^2-3p+16 (the square root ends on top of 16)=p+1
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Question 242782: how do you solve square root and the 3 outside of it but in the little root thing and then inside the root 4+6t-the 3 in the outside of the root (but on it) square root of 1-8t=0
Click here to see answer by MRperkins(300) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380