Questions on Algebra: Complex Numbers answered by real tutors!

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Question 19602: Find the power of i for i47.
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Question 19668: (10 pts) A car starts on a trip and travels at a speed of 55 mph. Two hours later, a second car starts on the same trip and travels at a speed of 65 mph.
When the second car has been on the road for t hours, the first car has traveled ____ miles and the second car has traveled ____miles.
At time t the distance between the first car and the second car is_____ miles.
The ratio of the distance the second car has traveled and the distance the first car has traveled is ______.
The second car catches up with the first car _____ hours after the departure of the first car. (Those are some determined drivers!)

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Question 19796: System of equations
3x+2y=1
2x-3y=2

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Question 19795: Consider the system of equations
3x+2y=17
x-y=-1

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Question 19912: This problem deals with a circle. Enter your answers as alebraic expressions in A, B, and C. Consider the equation



It describes a circle with center h,k and a radius r where
h=
k=
r=

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Question 19916: Factor this equation
2c^3-5c^2+c+2

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Question 19988: 17i divided by (4-1) = 17i over 4-i This I understand - partially anyway...but I am being told that my answer must be in the A + Bi form...this I do not understand
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Question 20041: -(x-3)-4(x-5)=-22
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Question 20040: 3h-5(2h+4)=4h+2
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Question 20127:

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Question 20129: Linear systems:


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Question 20120: Is the square root of 9 equal to -3i?
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Question 20119: how do you find out inmaginary numbers
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Question 20130: Linear Systems

2x+3y-z=1
x-y-z=2
3x+2y-3z=3

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Question 20131: Linear Systems
w+2x+3y-4z=-5
2w-x+y-2z=-7
3w-x-2y+z=7
4w-4x-2y+3z=3

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Question 20126:

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Question 20260: x+12/x=7
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Question 20395: Linear Systems:
w+2x+3y-4z=-5
2w-x-y-2z=-7
3w-x-2y+z=7
4w-4x-2y+3z=3


w=
x=
y=
z=

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Question 20512: my homework problem asks: perform the indicated operations. give result in standard form. the preoblem is: 9+5i / 3-4i. I multiplied numerator and denominatorby the conjegate (3+4i) and my final answer is 7/25 + 51/25 i. Is this the correct answer?
My other problem is : multiply: cubed root of 25xy times cubed root of 9xy. my answer is cubed root of 225x2y2. Did i do this right? do i need to reduce further or am i way off? I would appreciate any help you could give me. Thank you in advance for all your help. -Clyde

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Question 19813: 2x*3x
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Question 20658: Please help me how to understand this problem:
(1/3 + 2/3i) + (1/3 - 5/6i)
Thank you.
i think i have an idea of it
(1/3+2/3i)+ (1/3 - 5/6i)
all you have to do is:move the parathesis and collect like terms,so u have:
(1/3 + 1/3) + (2/3i - 5/6i)
then 1/3+ 1/3 =2/3
and 2/3i - 5/6i = -1i/6i
so therefore your answer is:
2/3 - 1i/6i.
hope you are clear with this.

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Question 20658: Please help me how to understand this problem:
(1/3 + 2/3i) + (1/3 - 5/6i)
Thank you.
i think i have an idea of it
(1/3+2/3i)+ (1/3 - 5/6i)
all you have to do is:move the parathesis and collect like terms,so u have:
(1/3 + 1/3) + (2/3i - 5/6i)
then 1/3+ 1/3 =2/3
and 2/3i - 5/6i = -1i/6i
so therefore your answer is:
2/3 - 1i/6i.
hope you are clear with this.

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Question 20736: I tried everything to solve this problem but I can't figure out how. I think the answer is an imaginary number. PLEASE HELP!!! :)
If the zeros of f(x)= 4x^2 + 3x + 2 are A and b, find the value of 1/A +1/B.

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Question 20861: can u help me with this specific problem i dont understand it its 4(7-i)-5(2-6i) i would greatly appreciate it thanks
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Question 20824: can you help me with this problem? PLEASE I REALLY NEED HELP WITH IT!!!!!!!
(7-i)+(9+11i)

thank you
sandy

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Question 20365: You build a box that is 4 feet long, 5 feet wide, and 8 feet high. The distance from the top left front corner to the top right back corner is_____feet.The distance from the bottom left front corner to the top right back corner is_____feet.
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Question 20320: You propose to build a space ship that allows the entire population of the United States (280 million) to leave the earth. Your plans allocate an average space of 1000=10X10X10 cubic feet to each person. Your space ship is going to have the shape of a sphere. The radius of your space ship is_____feet.

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Question 19517: A Car Starts on a trip and travels at a speed of 55 mph. Two hours later a second car starts on the same trip and travels at a speed of 65 mph. When the second car has been on the road for x hours, the first car has traveled(x+2)55 and the second card has traveled 65x miles. At time x the distance between the first car and the second car is how many miles?
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Question 18891: You are on a pleasure cruise through the universe and you crash in the ocean of an unknown planet. Your spaceship floats on the water and its top is 34 feet above the surface of the water. You swim away from the spaceship until you see its top on the horizon. Your laser range meter tells you that your eyes are 2.2 miles away from the top of the space ship. (You are a capable - if reckless and curious - swimmer.) The radius of the planet is miles. It's a small world, but it's all yours!

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Question 17819: (i+root3)^100 +(i-root3)^100 + 2^100=?
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Question 17359: find the value of -
(i+3^.5)^100 + (i-3^.5))^100 + 2)^100

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Question 17296: how would you do this please show me {4a+2u+i=2
{5a+3u+2i=17
{ a-5u =3

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Question 17155: How do I put this....(a+bi)^3.....in this answer form....
(a+bi)^3=______ + ______ i.

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Question 20892: how do i work out what 4a=24 is and how would i be able to find help with more sums like these
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Question 20892: how do i work out what 4a=24 is and how would i be able to find help with more sums like these
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Question 20984: algebra 2
factor this polynomial:

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Question 21112: Ooops I made a mistake the problem shows = then x= I don't even understand this question so if someone can explain it to me all the step i would really appreciate it thank you.
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Question 21110: can someone explain in great detail how to solve this question? x=
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Question 21113: If f(x)= Then f(x-1)=
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Question 21209: 2-squareroot of -5 over 2+2 squaroot of -5
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Question 21386: Write the expression as a complex number in standard form:
(-2-4)+(3-6i)

Thank You very much!

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Question 21734: I have no idea how to solve this. Please help. Thanks
x^3+3x^2-x-3=0

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Question 21733: I need help answering the this equation and I tried to work it out. I have to work it out in long form division.
(x^2+5x-3) / (x-3)
My work:
3+(x^2+5x-3) / (x-3)+3
(x^2+5x) / x
(x+5x)

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Question 21982: (2+3i)to the 10th power
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Question 22125: I'm completely stuck on this problem.
The owner of a movie theater was couting the money from 1 day's ticket sales. She knew that a total of 150 tickets were sold. Adult tickets cost $7.50 each, children's tickets cost $4.75 each. If the total receipts for the day were $891.25, how many of each kind of ticket were sold?
if you could just send me the equation that would be really helpful

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