Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1076032: 2x+ 3y = 6
Click here to see answer by Fombitz(32388)

Question 1076506: The points (-6, 5) and (-4, 5) are the points at which the diagonal of a square intersects the square. What are the coordinates of the center of the square?
Click here to see answer by Edwin McCravy(20056)

Question 1076735: What is the number of distinct solution of the equation = ?
Click here to see answer by ikleyn(52784)

Question 1076823: Graph the function. Use the graph to find any relative maxima or minima.
f(x) = x3 + 3x2 - 9x - 5
Click here to see answer by Boreal(15235)

Question 1076826: f(x)= 1, for x≥1
-4-x, for x<1

Click here to see answer by stanbon(75887)

Question 1076908: The sum of two numbers is −48 and their difference is 17. Find the numbers.
Click here to see answer by Alan3354(69443)

Question 1076923: i already know what y is, and I only need to find x,
{x+cy=d
{x-dy=c
Click here to see answer by alanc(27)

Question 1077455: A basketball team sells tickets that cost $10, $20, and VIP seats for $30. The team has sold 3408 tickets overall. It has sold 129 more $20 tickets than $10 tickets. The total sales are $64,460. How many $10 tickets, $20 tickets, and $30 tickets have been sold?

Click here to see answer by ikleyn(52784)

Question 1077657: A farmer has 360 feet of fencing to make three identical adjacent rectangular pens, as shown in the picture. What dimensions of each pen will maximize the total enclosed area

The adjacent side of each pen is____ feet; the no n − adjacent side of each pen is____
feet.
Click here to see answer by Alan3354(69443)

Question 1078164: Do the sum of the n nth roots of a complex number z always equals zero? Show this using the examples below.
1. Find the cube roots of -i
2. Find the fourth roots of
Click here to see answer by ikleyn(52784)

Question 1078163: Divide the complex numbers in two ways, first by leaving them in rectangular form, then by switching to cis form. Show that you get the same answer working in both rectangular and polar forms. .
Click here to see answer by Fombitz(32388)

Question 1078663: 3x^2-2y+4x-8
what is the constant term and show work?
what is the coefficient of the term x^2? show work
Click here to see answer by ikleyn(52784)

Question 1078794: X^3=i-1

Click here to see answer by Alan3354(69443)

Question 1078876: a, b ,c are positive integers such that 10 > a > b > c > 0
N is the largest three digit number that has the digits a, b and c.
K is the smallest three digit number that has the digits a, b and c.
Use algebra to show that the difference between N and K is always a multiple of 99.
Click here to see answer by Edwin McCravy(20056)

Question 1079247: Y=5x
-2x+4y=36
Solve by subsistiution
Click here to see answer by Fombitz(32388)

Question 1079506: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
7, -11, and 2 + 8i
I understand that I have to foil these and that I have to find the conjugate, however, I am struggling with how to FOIL (x-(2+8i))(x-(2-8i))
Click here to see answer by MathLover1(20850)

Question 1079526: Plot all the complex numbers in the cormplex number plane whose
absolute value is 5.

Click here to see answer by Edwin McCravy(20056)

Question 1079955: (12n^3 + 8n^2 - 6n) divided by 2n^2
Please help! And show work! Thanks in advance!
Click here to see answer by josgarithmetic(39617)

Question 1079955: (12n^3 + 8n^2 - 6n) divided by 2n^2
Please help! And show work! Thanks in advance!
Click here to see answer by MathLover1(20850)

Question 1079959: If y varies inversely with x, solve y if the constant of variation k=6 and k= 1/3
Please help!!!
Thanks in advance!
Click here to see answer by Boreal(15235)

Question 1079957: Do the data represent a direct variation or an inverse variation? Write an equation to model the date.
a. (-2, 0.16), (-10, 0.8), (50, -4)
b. (0.5,100), (2.5,20),(10,5)

Please do both!!!! Its a two parter!
An equation for both please :)
Click here to see answer by Boreal(15235)

Question 1080516: Hi, how would I work this question out? Thank for your help in advance:)
A partition of an integer into distinct positive parts (no two are equal) is called an unequal partition. For example, there are seven unequal partitions of 12 into 3 parts: 12= 9+2+1 = 8+3+1 = 7+4+1 = 7+3+2 = 6+5+1 = 6+4+2 = 5+4+3.
The span of a partition is the difference between the smallest and largest number in the partition. For example, the spans of the unequal partitions of 12 into 3 parts listed above are respectively 8,7,6,5,5,4,2. Thus 2 is the smallest span of an unequal partition of 12 into 3 parts.
a. Find at least two unequal partitions of 2017 into 5 parts with a span of 7.
b. Find an unequal partition of 2017 into 5 parts with the smallest possible span.
c. Find the smallest number that has an unequal partition into 5 parts. Describe the set of all numbers that have an unequal partition into 5 parts with a span of 4.
d. Show that for each number that has an unequal partition into 5 parts, the smallest span for such partitions is 4 or 5.
Click here to see answer by Fombitz(32388)

Question 1080706: 3x+ky=9 passthrouh a point (1,-2),find k

Click here to see answer by Alan3354(69443)

Question 1080706: 3x+ky=9 passthrouh a point (1,-2),find k

Click here to see answer by josmiceli(19441)

Question 1080793: how do i find the polar form of i(sqrt6 - sqrt2i) with the argument theta between 0 and 2pi?
Click here to see answer by Fombitz(32388)

Question 1080989: 2b�3�5=3
Click here to see answer by amfagge92(93)

Question 1081103: Given that (x + i y)^2 = i , find x and y where i is imaginary number,x and y are real.
Click here to see answer by Alan3354(69443)

Question 1081101: Express (I) i^(-4k) and (ii) i^(-(4k+1)), where i is the imaginary number and k is a positive constant,in the simplest form or in term of i.
Click here to see answer by Alan3354(69443)

Question 1081232: Solve w^2 = 15+8i
Click here to see answer by jim_thompson5910(35256)

Question 1081246: What is the absolute value of | 2 + 7i |
Click here to see answer by ikleyn(52784)

Question 1081444: I have been asked to evaluate Z1 X Z2 AND Z1 / Z2 in Cartesian form where Z1 = 1-j3 and Z2 =-2=j5
Help !!
Glenn
Click here to see answer by Fombitz(32388)

Question 1081447: Final time and correct this time !
Evaluate Z1 + Z2 and Z1/Z2 in Cartesian Form where Z1=1-j3 and Z2=-2+j3
Help
Thanks
Click here to see answer by Fombitz(32388)

Question 1081446: Hello I have been asked to evaluate Z1 X Z2 AND Z1/Z2 in Cartesian Form
Help!!!!
Thanks Glenn
Click here to see answer by Alan3354(69443)

Question 1081986: Can you please answer this question for finding the complex number z = x + yi that satisfies the equation (1+3i)z + (4-2i)z = 10+4i
Thank you so much if you help!!
Click here to see answer by rothauserc(4718)

Question 1081969: solve for x 4=256^3x

Click here to see answer by Alan3354(69443)

Question 1082056: (x-1/3+i)+(y-1/3-i)=i get real velue of X and Y
Click here to see answer by josgarithmetic(39617)

Question 1082182: 7^7+36
Whats is the prime factor of this number?
It is 43*107*179
But how can find this without calcuator?
Click here to see answer by math_helper(2461)

Question 1082422: A box has a square base of side 9cm . Calculate the volume of the box if it is 10c
m high.

Click here to see answer by Alan3354(69443)

Question 1082954: If the value of 'n' increases in the expression of x=2n^2 + 3n / 5n^2 then the value of 'x' will:
Ans: options a) increase , b) decrease, c) remain unchanged, d) none of the above.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1083004: Heya, I'd be really greatful if you could solve this question
from calculus, complex numbers for me.
Find the complex number u = x + yi, where x and y are real
numbers, so that u^2 = -5 + 12i. Then solve the equation
z^2+zi+(1-3i)=0

Click here to see answer by Edwin McCravy(20056)

Question 1083007: Been having trouble solving this one. Would be grateful if you could help :)
Find the indicated power using the De Moivre's Theorem
(1- sqrt ( 3i ) ) ^ 6
Thank you so much in advance!
Click here to see answer by solver91311(24713)

Question 1083283: Calculate (2+i)^7. Give your answer in a+bi form
Click here to see answer by MathLover1(20850)

Question 1083283: Calculate (2+i)^7. Give your answer in a+bi form
Click here to see answer by Alan3354(69443)

Question 1083283: Calculate (2+i)^7. Give your answer in a+bi form
Click here to see answer by Boreal(15235)

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