Questions on Algebra: Complex Numbers answered by real tutors!

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Question 156608: Evaluate the expression and write in the result of a+bi
(√(2)-√(-4))(√(3)-√(-6))
I foiled it and got √(6)+√(24)-2i√(12). I'm not sure if that's the wrong answer or if I need to go a step further. Please help.
Click here to see answer by solver91311(24713)

Question 157773: why is any number raised to the power of zero give an answerof 1?
Click here to see answer by jim_thompson5910(35256)

Question 158029: Hello =)
I really need help with this problem! If you could help me out that would be great!
DIRECTIONS: write the complex number is standard form

I hope i wrote that right. It's the quantity the squareroot of 2 over 2 plus the squareroot of 2 over 2 times i to the 4th power. I know how to solve it I think but I dont know how to put it in standard form??
Help me out please! Thank you!!!
Click here to see answer by jim_thompson5910(35256)

Question 158690: Find the values of x and y:
x+9i=y-yi
Click here to see answer by ankor@dixie-net.com(22740)

Question 158895: how to i make 273,000 into scientific notation
Click here to see answer by scott8148(6628)

Question 158897: Evaluate:
xy^2(xy-x^2) If x = -1/3 and y = 1/6
Click here to see answer by checkley77(12844)

Question 159315: Jambalaya is a Cajun dish made from chicken, sausage, and rice. Simone is making a large pot of jambalaya for a party. Chicken costs $6 per pound, sausage costs $3 per pound, and rice costs $1 per pound. She spends $42 on 13.5 pounds of food. She buys twice as much rice as sausage. How much chicken, sausage, and rice will she use in her dish?

Can someone please show me how to make this into 3 algebraic equations. I should be good from there. I would really appreciate it.
Click here to see answer by scott8148(6628)

Question 159314: Jonathon and members of his Spanish Club are going to Costa Rica over spring break. Before his trip, he purchases 10 travelers checks in denominations of $20, $50, and $100, totaling $370. He has twice as many $20 checks as $50 checks. How many of each type of denomination of travelers checks does he have?
I do not understand how to make this into 3 algebraic equations. If someone could just ezplain that, i would appreciate that.
Click here to see answer by scott8148(6628)

Question 159311: The sum of three numbers is 20. The second number is 4 times the first, and the sum of the first and third is 8. Find the numbers,
How do you make these equations?
Click here to see answer by scott8148(6628)

Question 159310: Campus Rentals rents 2 and 3 bedroom apartments for $700 and $900 per month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?
Can someone please explain to me how to make this into equations?
Click here to see answer by scott8148(6628)

Question 159554: Find all roots of the equation x^3+8=0; put them in rectangular form.
Click here to see answer by nabla(475)

Question 159623: A food store makes a 9-lb mixture of peanuts, cashews, and raisins. Peanuts cost $1.50 per pound, cashews cost $2.00 per pound, and raisins cost $1.00 per pound. The mixture calls for twice as much peanuts than cashews. The total cost of the mixture is $13.00. How much of each ingredient did the store use?

I am really confused with this problem.
Click here to see answer by scott8148(6628)

Question 159832: Hi, Can you please help with imaginary numbers?
.
Simplify
.

.
Put in complex number form
.
Thanks ahead of time, Levi
Click here to see answer by jim_thompson5910(35256)

Question 160204: i am unsure of how to cube a simple complex number, please help! :
Click here to see answer by Edwin McCravy(20054)

Question 160310: 2-i / 3-4i ,2-i/3-4i*3+4i/3+4i, 6+8i_3i_4i^2/15 ,10+5i/15 ,5(2+i)/5(3), 2/3 + 1/3i

Click here to see answer by nerdybill(7384)

Question 160310: 2-i / 3-4i ,2-i/3-4i*3+4i/3+4i, 6+8i_3i_4i^2/15 ,10+5i/15 ,5(2+i)/5(3), 2/3 + 1/3i

Click here to see answer by himakamel(1)

Question 160308: (10+i)^2 / 4-i
thanks for the help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 160311: please help me!
1-i square root of 2 / 1 + i square root of 2
i know you have to multiply the top and bottom by the 1 - i square root 2 but I can't figure out how to solve it. thanks !
Click here to see answer by Alan3354(69443)

Question 160513: Please help me solve the equation: (2 + 2i) and ( 2 - 2i)
I have no idea have to solve this.
Click here to see answer by Fombitz(32388)

Question 161316: perform the indicated operation and write the result in standard form: (-2+5i)squared
Click here to see answer by stanbon(75887)

Question 161326: can i have the correct answers on this problems as soon as possible plz.. tnx
1+2 over x divided by 7 over x
a over b divided by a- 5a over b
x-5 over x divided by 2-1 over x
x over 2- 2 over x divided by 1- 2 over x
5 over n+1 - 1 over 2 divided by n+3
Click here to see answer by Edwin McCravy(20054)

Question 161797: simplify a complex fraction please. Thanks
1/9+1/3x / x/9-1/x
Click here to see answer by ankor@dixie-net.com(22740)

Question 162014: This is from a worksheet.
simplify
2+i/1-3i
please help
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 162134: how do i solve this problem
Click here to see answer by elima(1433)

Question 162424: f two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
I know the answer is C; but, how do I get to the answer
Click here to see answer by stanbon(75887)

Question 162465: This is from a worksheet. I think I have the right answer, but am not sure.
FIND THE VALUE OF THE DISCRIMINANT FOR 9X^2+1=6X. tHEN DESCRIBE THE NUMBER AND TYPE OF ROOTS FOR THE EQUATION.
First i changed it to 9x^2-6x+1=0
a=9 b=-6 c=1
b^2-4ac=(-6)^2-4*(9)*(1)
=36-36
=0
One rational root.
Did i do this right?
Thanks
Yes you are correct, there will be one rational root with multiplicity 2 (I am not sure if you have learned about multiplicity yet)
Click here to see answer by eperette(173)

Question 162611: (2+3i)^2 could you please explain step by step
please help soon!
Click here to see answer by ankor@dixie-net.com(22740)

Question 162617: i^17
the only thing I know about this is that all things like this such as i^30 or i ^2 or i^7 all come up to one thing but I'm not sure what it is
please help soon!

Click here to see answer by Earlsdon(6294)

Question 162612: 1 divided by 2+3i
could you please explain step by step
please help soon!
Click here to see answer by Earlsdon(6294)

Question 162616: 4(3+2i)-5(1-i)
please help soon and explain step by step.
Click here to see answer by stanbon(75887)

Question 162613: sqrt of 3 + i divided by sqrt - i
please explain step by step
please help soon!
Click here to see answer by stanbon(75887)

Question 162610: sqrt of (-50) minus sqrt of (-8)
could you please explain step by step
Click here to see answer by stanbon(75887)

Question 162566: Classify the 15 given polynomials as monomials, binomials, trinomials, and polynomials. Use the format given below for categorizing the polynomials.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
m.
n.
o.
Click here to see answer by Edwin McCravy(20054)

Question 162683: sqrt of (-50) minus sqrt of (-8)
please explain step by step
please help soon
Click here to see answer by Earlsdon(6294)

Question 162523: Write the expression as a complex number in standard form:
six minus i square roots of 2 divided by six plus i square roots of 2
Click here to see answer by ankor@dixie-net.com(22740)

Question 162781: 3x+x-4+0
Click here to see answer by jim_thompson5910(35256)

Question 162989: express the product of 4-3i and its conjugate in simplest terms

Click here to see answer by jim_thompson5910(35256)

Question 163225: I'm a sophomore currently studying for the SAT. I was wondering first, are complex numbers on the SAT? Also, does "i" always equal the square root of 1? Or is "i" considered a variable? Thank You.
Click here to see answer by checkley77(12844)

Question 163391: Simplfy the radical
√176/25
Click here to see answer by checkley77(12844)

Question 163390: Simplfy the radical?
√8/3
Click here to see answer by checkley77(12844)

Question 163388: Simplfy the radical?
√500
Click here to see answer by checkley77(12844)

Question 163386: What is the simplest form of the expression?
√12 * √18
Click here to see answer by checkley77(12844)

Question 163385: What is the simplest form of the expression?
√162
Click here to see answer by checkley77(12844)

Question 163380: √162
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