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Tutors Answer Your Questions about Complex Numbers (FREE)
Question 152423: Please help with this problem
The complex numbers 2/5xi + 3 and -4 - 1/4yi are equal. Find the values of x and y
Have tried solving as a regular equation but cannot find equal values.: Please help with this problem
The complex numbers 2/5xi + 3 and -4 - 1/4yi are equal. Find the values of x and y
Have tried solving as a regular equation but cannot find equal values.
Click here to see answer by orca(66)  |
Question 151967: 1. Using one of the laws of exponents, prove that any number raised to the power 0 is 1.
2. Using FOIL, simplify the expression "(3x + 2)(3x - 2)". Show that a particular factoring formula leads to the same answer.
3. If a fourth-degree polynomial is multiplied by a third-degree polynomial, what is the degree of the product? Explain your reasoning and provide examples to support your explanation.
4. Think of a condition under which the product of any two binomials is a binomial. You can support your answer with the help of one of the identities of factorization of polynomials.
5. (i) Is "12.5555…" a rational or irrational number? Explain.
(ii) Is "2.1273685…" a rational or irrational number? Explain.
(iii) Is "548/799" a rational or irrational number? Explain.
(iv) Simplify "(5 + 3i)(5 - 3i)". Is the result real, complex, or both? Explain.
: 1. Using one of the laws of exponents, prove that any number raised to the power 0 is 1.
2. Using FOIL, simplify the expression "(3x + 2)(3x - 2)". Show that a particular factoring formula leads to the same answer.
3. If a fourth-degree polynomial is multiplied by a third-degree polynomial, what is the degree of the product? Explain your reasoning and provide examples to support your explanation.
4. Think of a condition under which the product of any two binomials is a binomial. You can support your answer with the help of one of the identities of factorization of polynomials.
5. (i) Is "12.5555…" a rational or irrational number? Explain.
(ii) Is "2.1273685…" a rational or irrational number? Explain.
(iii) Is "548/799" a rational or irrational number? Explain.
(iv) Simplify "(5 + 3i)(5 - 3i)". Is the result real, complex, or both? Explain.
Click here to see answer by stanbon(17617) |
Question 149761: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?
: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?
Click here to see answer by ayman11(2) |
Question 149761: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?
: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?
Click here to see answer by kmcruz09(38) |
Question 149761: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?
: Please can someone help me with this problem: For i= -1, 3i(2+5i)= x+6i,then x=?
This is how i tried to solve the problem: 3ix2=6i,and 3ix5i=15i,now i combine 6i+ 15i = x + 6i, I broke down the problem by adding 6i + 15i= 21i=x+6i, then i made the 21i negative on both sides:
21i = x + 6i
-21i -21i= -15, is this correct?
Click here to see answer by ankor@dixie-net.com(3845) |
Question 149559: Please help me with this problem!
The vector v is represented by the directed line segment PQ. Write v in the form ai + bj and find ||v||. P = (-3,1) Q = (4,-2)
Thank you, Tami: Please help me with this problem!
The vector v is represented by the directed line segment PQ. Write v in the form ai + bj and find ||v||. P = (-3,1) Q = (4,-2)
Thank you, Tami
Click here to see answer by Alan3354(454) |
Question 148996: solve the given fractional equations. A. 4-a/1-a=12/3-a+1 B. 2x+7/14-x+6/7=5x-4/3x+1 . simplify the given complex fractions using the method you prefer. A. 1-A/A^1-1= B. x-x^2-1/x / 1-x-1/x=: solve the given fractional equations. A. 4-a/1-a=12/3-a+1 B. 2x+7/14-x+6/7=5x-4/3x+1 . simplify the given complex fractions using the method you prefer. A. 1-A/A^1-1= B. x-x^2-1/x / 1-x-1/x=
Click here to see answer by stanbon(17617) |
Question 148662: Im not sure what category this goes under. but i would like to know how to answer these types of problems including:
cuberoot 5/16
cuberoot 4/17
things like that: Im not sure what category this goes under. but i would like to know how to answer these types of problems including:
cuberoot 5/16
cuberoot 4/17
things like that
Click here to see answer by stanbon(17617) |
Question 148523: if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ? : if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ?
Click here to see answer by Earlsdon(3413) |
Question 148523: if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ? : if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ?
Click here to see answer by vleith(919) |
Question 147558: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means.: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means.
Click here to see answer by Nate(3495) |
Question 147558: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means.: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means.
Click here to see answer by stanbon(17617) |
Question 147558: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means.: I'm not quite sure how to simplify the expression 4 over 2+5i (4/2+5i) and I'm not quite sure what i to the -35th power means.
Click here to see answer by jim_thompson5910(8006) |
Question 147192:  I'm completely stumped! I don't know how to take the square root of a negative number! Can somebody please show me how to figure this out?: I'm completely stumped! I don't know how to take the square root of a negative number! Can somebody please show me how to figure this out?
Click here to see answer by nabla(358) |
Question 146081: Name the complex conjugate, then find product of the complex number with its conjugate.
3-i
answers:
A) -3+i;10
B) 3+i;8
C) 3+i;10
D) -3+i;8: Name the complex conjugate, then find product of the complex number with its conjugate.
3-i
answers:
A) -3+i;10
B) 3+i;8
C) 3+i;10
D) -3+i;8
Click here to see answer by Earlsdon(3413) |
Question 145570: "plot all the complex numbers in the complex plane whose absolute value is 4. " : "plot all the complex numbers in the complex plane whose absolute value is 4. "
Click here to see answer by stanbon(17617) |
Question 145571: "plot all the complex numbers in the complex plane whose absolute value is 4. " : "plot all the complex numbers in the complex plane whose absolute value is 4. "
Click here to see answer by vleith(919) |
Question 145361: Please help me solve the follwing problem:
(6+1/3)/(3-2/9)
This is as far as I have gotten:
[(3/3)(6/1)+(1/3)]/[(9/9)(3/1)-(2/9)]
[(18/3)+(1/3)]/[(27/9)-(2/9)]
(19/3)/(25/9)
I do not know where to go from here. Please help!: Please help me solve the follwing problem:
(6+1/3)/(3-2/9)
This is as far as I have gotten:
[(3/3)(6/1)+(1/3)]/[(9/9)(3/1)-(2/9)]
[(18/3)+(1/3)]/[(27/9)-(2/9)]
(19/3)/(25/9)
I do not know where to go from here. Please help!
Click here to see answer by stanbon(17617) |
Question 144510: Multipy or divide as indicated. Simplify completely.
(48x+48 / 10x-4)(40x-16 / 12x^2-12)
In other words, 48x+48 over 10x-4 multiplied by 40x-16 over 12x^2-12: Multipy or divide as indicated. Simplify completely.
(48x+48 / 10x-4)(40x-16 / 12x^2-12)
In other words, 48x+48 over 10x-4 multiplied by 40x-16 over 12x^2-12
Click here to see answer by ankor@dixie-net.com(3845) |
Question 144513: Can you tell me if this problem is correct?
Simplify:
(3/x+4/x^2)/(9/x^2-16/x)
= (3(x)/x(x)+4/x^2)/(9/x^2-16(x)/(x)(x)
= (3x/x^2=4/x^2)/(9/x^2-16x/x^2)
= (3x+4/x^2)/(9-16x/x^2)
= (3x+4)/(9-16x): Can you tell me if this problem is correct?
Simplify:
(3/x+4/x^2)/(9/x^2-16/x)
= (3(x)/x(x)+4/x^2)/(9/x^2-16(x)/(x)(x)
= (3x/x^2=4/x^2)/(9/x^2-16x/x^2)
= (3x+4/x^2)/(9-16x/x^2)
= (3x+4)/(9-16x)
Click here to see answer by Alan3354(454) |
Question 144511: Can you tell me if this is correct or not?
Perform the indicated operation. Simplify if possible.
15/17x-7/17x
= 15-7/17x
= 8/17x: Can you tell me if this is correct or not?
Perform the indicated operation. Simplify if possible.
15/17x-7/17x
= 15-7/17x
= 8/17x
Click here to see answer by Alan3354(454) |
Question 143440: 22 STUDENTS HAVE CHARTERED A BUS TO TRAVEL TO THE CHAMPIONSHIP GAME AND WILL SPLIT THE COST EQUALLY. aFTER 17 OF THE STUDENTS HAVE TURNED IN THEIR SHARE, $131.75 HAS BEEN COLLECTED. What is the cost of chartering the bus?: 22 STUDENTS HAVE CHARTERED A BUS TO TRAVEL TO THE CHAMPIONSHIP GAME AND WILL SPLIT THE COST EQUALLY. aFTER 17 OF THE STUDENTS HAVE TURNED IN THEIR SHARE, $131.75 HAS BEEN COLLECTED. What is the cost of chartering the bus?
Click here to see answer by edjones(2120) |
Question 143441: Mark can type 45 words a minute. and there are 450 words per page. At this rate, how many hours would it take Mark to type a paper x pages long?
Tickets to a PLAY ARE $2 FOR STUDENTS AND $4 FOR ADULTS. a TOTAL OF 250 TICKETS WERE SOLD. iF S IS THE #OF STUDENT TICKETS SOLD, WHICH OF THE FOLLOEING IS A FORMULA FOR THE TOTAL SALES IN DOLLARS.
eITHER, 2S+4(250-S)
OR 4S+2(250+S)
0R4S+500
0R 2S+1000: Mark can type 45 words a minute. and there are 450 words per page. At this rate, how many hours would it take Mark to type a paper x pages long?
Tickets to a PLAY ARE $2 FOR STUDENTS AND $4 FOR ADULTS. a TOTAL OF 250 TICKETS WERE SOLD. iF S IS THE #OF STUDENT TICKETS SOLD, WHICH OF THE FOLLOEING IS A FORMULA FOR THE TOTAL SALES IN DOLLARS.
eITHER, 2S+4(250-S)
OR 4S+2(250+S)
0R4S+500
0R 2S+1000
Click here to see answer by stanbon(17617) |
Question 142500: when doing this problem can you use the cross multiply method or do you use the LCM/LCD method. I tried to do the cross mulitply method but the answer did not turn out right.....Can you help: when doing this problem can you use the cross multiply method or do you use the LCM/LCD method. I tried to do the cross mulitply method but the answer did not turn out right.....Can you help
Click here to see answer by rapaljer(2773) |
Question 141516: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 5i as zeros. Find the other zero.: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 5i as zeros. Find the other zero.
Click here to see answer by jim_thompson5910(8006) |
Question 141499: First of all would like to thank you for you help,I would like to know is this consider a complex equation or number and how would i solved it algebraically,
5-2/x-6=10-2x/x-6..: First of all would like to thank you for you help,I would like to know is this consider a complex equation or number and how would i solved it algebraically,
5-2/x-6=10-2x/x-6..
Click here to see answer by ankor@dixie-net.com(3845) |
Question 141233: Use synthetic division to solve the following problem. Use the ^ sign to show an exponent (x2 = x^2). This is a bonus question my teacher asked on a piece of homework. Please help me.
: Use synthetic division to solve the following problem. Use the ^ sign to show an exponent (x2 = x^2). This is a bonus question my teacher asked on a piece of homework. Please help me.
Click here to see answer by stanbon(17617) |
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