Tutors Answer Your Questions about Complex Numbers (FREE)
Question 486108: What is the answer to the square root of negative 60 ?
I've gotten this much so far, but I don't know what else to do . :
Square root of negative 60 = square root of positive ten TIMES square root of positive six TIMES square root of negative one =
Click here to see answer by richard1234(5390)   |
Question 486215: Can you please help me? Can you give me answers to those problems and explain how to solve them? Thanks a lot!!!!
1. The inverse of a modulo 39 is b. What is the inverse of 4a modulo 39 in terms of b?
2. Let x and y be integers satisfying 41x + 53y = 12. Find the residue of x modulo 53.
3. John and Ling start their new jobs on the same day. John's schedule is 4 workdays followed by 1 day off . Ling's schedule is 7 workdays followed by 2 days off . On how many days during their first year of work (365 days) do John and Ling have the same day off ?
Thank you very much!!!
Click here to see answer by chessace(471)  |
Question 486499: 1Find the vertex and focus of the parabola whose equation is 4y = x2 + 4.
aV(0, 4), F(0, 3)
bV(0, 1), F(0, 2)
cV(4, 0), F(3, 0)
dV(1, 0), F(2, 0)
2Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
aC(–10, 0), r = 100
bC(–10, 0), r = 10
cC(–5, 0), r = 100
dC(–5, 0), r = 10
3Find the foci of the ellipse with the following equation.
((x-1)ˆ2÷9)+((Y+2)ˆ2÷25)=1
aF1(5, –2), F2(–3, –2)
bF1(1, 2), F2(1, –6)
cF1(4, –2), F2(–2, –2)
dF1(1, 1), F2(1, –5)
4Find the slopes of the asymptotes of a hyperbola with the following equation.
(Yˆ2÷81)-(xˆ2÷64)=1
a8/9
b9/8
c8/9, –8/9
d9/8, –9/8
Click here to see answer by lwsshak3(6494) |
Question 486604: In a regular pentagon, lines are drawn so that every possible pair of vertices are connected. How many triangles are in the resulting figure?
choose the answer and explain the reason to choose your response
25
35
20
30
In this question, I believe that the answer is either 35 or 30. I am afraid I am counting the same triangles 5 extra times.
Click here to see answer by MathLover1(6627)  |
Question 489811: Solve in standard form (a + bi)
(2+i)/i
I first multiplied by i/i to get the following:
2i + i^2
=
2i - 1
=
-1 + 2i which is standard form so I thought I was correct.
However, the student solution manual that I have shows to multiply by -i/-i instead of i/i which is what I did. When doing so they get opposite answer that I do of 1 - 2i. I'm wondering why that manual suggests the answer is 1 - 2i and why they used the negative i over i versus positive.
I really just need to know or understand how they arrived at using the negative.
Click here to see answer by MathLover1(6627) |
Question 489811: Solve in standard form (a + bi)
(2+i)/i
I first multiplied by i/i to get the following:
2i + i^2
=
2i - 1
=
-1 + 2i which is standard form so I thought I was correct.
However, the student solution manual that I have shows to multiply by -i/-i instead of i/i which is what I did. When doing so they get opposite answer that I do of 1 - 2i. I'm wondering why that manual suggests the answer is 1 - 2i and why they used the negative i over i versus positive.
I really just need to know or understand how they arrived at using the negative.
Click here to see answer by Edwin McCravy(8908)  |
Question 492224: Is (4+9) + 3 = 4 + (9+3) part of the distributive property. commutative property of addition, commutative property of multiplication, associative property of addition, associative property of multiplication, identity property of addition, identity property of multiplication, inverse property of addition, inverse property of multiplication, or transitive property?
Click here to see answer by chessace(471) |
Question 492241: Is 4x+12y = 4(x+3y) part of the distributive property. commutative property of addition, commutative property of multiplication, associative property of addition, associative property of multiplication, identity property of addition, identity property of multiplication, inverse property of addition, inverse property of multiplication, or transitive property?
Click here to see answer by richard1234(5390) |
Question 494976: Let n!!! denote the product n*(n-3)*(n-6)*...*x where x is either 1, 2, or 3, if n is 1, 2, or 0 more than a multiple of 3, respectively. For example, 10!!! is 10*7*4*1 = 280. Let k be the largest positive integer with the property that 2011!!! is a multiple of 10^k. What is k?
choose the answer and explain the reason to choose your response
166
134
167
168
Click here to see answer by richard1234(5390) |
Question 495360: solve the following equation using the complex number system:
x^4 + 13x^2 +36 = 0
the math book i have doesn't show how to do these types of problems: very frustrating.
the answers in the back of the book are (-2i, 2i, -3i, 3i)
Click here to see answer by Edwin McCravy(8908) |
Question 496871: Please help me, this problem was confusing..
Evaluate the expression and write the result in the form a + bi.
13 / 3-2i
What I did: multiplied (3+2i) to numerator and denominator, then got: 39+26i/13
answer i got: 39/13 + 26i/13
Click here to see answer by Alan3354(30993)  |
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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
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