Tutors Answer Your Questions about Complex Numbers (FREE)
Question 19413: I found the following definition in The Harper Collins Dictionary of Mathematics:
``golden mean, golden section, or extreme and mean ratio, n. the proportion of the division of a line so that the smaller is to the larger as the larger is to the whole, or of the sides of a rectangle so that the ratio of their difference to the smaller equals that of the smaller to the larger, supposed in classical aesthetic theory to be uniquely pleasing to the eye.''
Those Greek were onto something! Apparently that ``extreme and mean ratio'' is a specific number. In fact it is ________. By the way, don't get put off by the above piece of language which is opaque only because of its brevity. The Harper Dictionary of Mathematics is excellent, despite occasional idiosyncrasies. It's also an inexpensive paperback that I use almost every day, and that I recommend highly as an addition to your library.
Click here to see answer by xcentaur(357)  |
Question 19588: In this problem you are asked to convert the general standard form of a quadratic polynomial into the completed square form. Suppose f(x)=Ax^2+Bx+C where A,B, and C are the coefficients of the quadratic polynomial, and A does not equal 0. then F can be written as f can be written as f(x=a(x-h)^2+k where
a= A
h=
k=
Enter your answers as algebraic expressions in A,B, and C.
Click here to see answer by venugopalramana(3286) |
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!)
Click here to see answer by Paul(988) |
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
Click here to see answer by Earlsdon(6294) |
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.
Click here to see answer by Earlsdon(6294) |
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.
Click here to see answer by olayinka003(5) |
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.
Click here to see answer by Earlsdon(6294) |
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.
Click here to see answer by kapilsinghi(68) |
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.
Click here to see answer by kapilsinghi(68) |
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?
Click here to see answer by kapilsinghi(68) |
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!
Click here to see answer by kapilsinghi(68) |
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