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Tutors Answer Your Questions about Square-cubic-other-roots (FREE)
Question 41052: I need to understand a detailed explanation involved and I need to solve each equation by the square root method. Show each step involved in finding the solutions. Put all solutions in simplest form.
a: x^2 - 13 = 0
b: 16x^2 = 9
c: (x - 5)^2 = 27
Click here to see answer by Nate(3495)   |
Question 41056: I need to understand the process and show and explain EACH step in setting up and solving the following application problems. Give answers to the nearest thousandth. Thank you for you help.
b. If the length of a rectangle is 3 ft. less than twice its width and the area of the rectangle is 66 square feet, what are the dimensions of the rectangle?
Click here to see answer by Nate(3495) |
Question 41055: I need to understand each step in the procedure to show and explain EACH step in setting up and solving the following application problems. Give answers to the nearest thousandth.
a. The equation h = -16t^2 - 32t + 320 gives the height of a ball, thrown downward from the top of a 320-ft building with an initial velocity of 32ft/s. Find the time it takes for the ball to reach a height of 64ft.
Click here to see answer by Nate(3495) |
Question 42881: Describe the graph of the following quadratic equations; include the x-intercepts, y-intercept, two other points on the parabola, equation of the line of symmetry, vertex and tell whether the parabola opens up or down. Show ALL math used in each process.
a. y = x^2 - 3
b. y = x^2 + 3x - 4
c. y = -x^2 + 2x
Click here to see answer by ilana(236) |
Question 43548This question is from textbook College Algebra
: 2. For the function y = x² - 4x - 5, perform the following tasks:
a)Put the function in the form y = a(x - h)² + k.
Answer:
Show work in this space
b)What is the line of symmetry?
Answer:
c)Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x – h)² + k.
Show graph here.
Explanation of graphing.
d)In your own words, describe how this graph compares to the graph of y = x²?
Answer:
This question is from textbook College Algebra
Click here to see answer by Nate(3495) |
Question 44938: So my friend tells me that if I buy a 16:9 HDTV, I need to consider how big the picutre will be when it displays a 4:3 (standard TV) picutre. I know that 16:9 = 1.78 (rounded) and 4:3 = 1.33 (rounded). I know that 1.78/1.33 is about 1.33. That tells me that the picture length will be 33% shorter at 4:3 than 16:9. But the question is: what is the length at 16:9? I'm only given the diagonal, because that's what they give for specs. So I came up with these equations (where b & a are length & height, respectively):
a^2 + b^2 = 42 inches (thank you, Pythagoras)
b/a = 1.78
16a - 9b = 0
Given my goal, are these equations helpful to answering my question? And if so, how do you solve for a and b? I remember how to solve linear equations, but not when expoenets are involved. If I could somehow take the square root of the pythagorean equation... but I know it doesn't work that way.
How 'bout a lil help? Take me back to Mr. Anderson's classroom... :-)
Click here to see answer by stanbon(26259) |
Question 45421: I hope I have submitted this to the right place. Can you please show me how to do this problem- not just give me the answer? I want to try and learn it correctly. Thank you!
The problem says to simplify. It shows a square root icon with a little 3 beside it, on the left side above the little "arm". Inside are these numbers: 27/1000
Thank you very mcuh~
Click here to see answer by tutorcecilia(2042) |
Question 45797: Hi.. Im in cyberschool so this question isn't going to be in the book so if you were going to use the textbook, it would be kind of point less. Ok so my question is this...
What is the square root of 49 x to the 10th power? I know I need to find the root and I have to assume that all variables represent positive numbers.
My first thought on this was that you found the square root of 49 ( 7 ) and cut the exponent in half, but I wasn't sure. Thank you!!
Click here to see answer by checkley71(8405) |
Question 46217: Can someone please help me with the following: What are all the possible rational roots (using synthetic division to find an actual root, then using this root to solve the equation) for x^3 + 5x^2 + 12x - 18 = 0 ?!?!?
Can you please explain the steps involved as well as the solution (as I am fairly lost)?
THANK YOU!!
Click here to see answer by venugopalramana(3286)  |
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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
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