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Question 39565: Show and explain EACH step in setting up and solving the following application problems. Give answers to the nearest thousandth if rounding is needed.
a.Find the length of a rectangle whose diagonal is 10in. and whose width is 7in.
b. The base of a 15-ft ladder is 5 ft away from a wall. How far above the floor is the top of the ladder?

Click here to see answer by Nate(3500)

Question 39563: Explain the process and show EACH step in the process of simplifying the following problems:
b. sqrt(98c^3)
c. sqrt[200r^5(s^3)]
Click here to see answer by fractalier(6550)

Question 39639: how do you factor?
Click here to see answer by checkley71(8403)

Question 39561: Explain the process and show EACH step in the process of simplifying the following problems:
a. sqrt(48m^5/81)
b. sqrt50 + sqrt32 - 2(sqrt8)
c. 3(sqrt12) - 5(sqrt48)

Click here to see answer by checkley71(8403)

Question 39926: Rationalize the Denominator

"variable a" divided by the cubic root of 4.
Click here to see answer by fractalier(6550)

Question 37586: if x^y=y^x then prove that (x/y)^(x/y)=x^((x/y)-1)
Click here to see answer by venugopalramana(3286)

Question 35614: if f(x)=x^2, find f(5-sqrt2)
show work please
Click here to see answer by fractalier(6550)

Question 40419: Solve this:
(9x^6*y^8)^(1/6)
And I have this possible answers
a. xy(9y8)^(1/6)
b. xy(3y)^(1/3)
c. 3xy
d. x(9y^2)^(1/6)
Click here to see answer by AnlytcPhil(1806)

Question 40420: Solve this:
2/(2-1/sqrt(2))
Possible answers:
a. (4+sqrt(2))/7
b. (4*sqrt(2)+2)/7
c. (2*sqrt(2)+1)/7
d. (8+2*sqrt(2))/7
Click here to see answer by AnlytcPhil(1806)

Question 36041: 2(1+i)-3(2-3i)
3xsquare-2x-1=0
Click here to see answer by tran3209(100)

Question 40751: i'm really confused on problems where you have to square-root the function for the given value; x.
the problem: 1/2(the square root symbol)x+7 ;2
if you know how to do it can you tell me. please
thanks
Click here to see answer by checkley71(8403)

Question 40802: 12 divided by the square root of 20
now when i worked this out i got 3 radical 20 over 5 but the back of the book got 6 radical 5 over 5. i dont see how they got this...
teacher: robert rapalje
christina
intermediate algebra- one step at a time
Click here to see answer by astromathman(21)

Question 36615: Simplify 4th sqrt16(a-1)^12
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Question 36019: y^4 -81
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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(3500)

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(3500)

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(3500)

Question 41447: Can someone help me solve this problem?
I need to find the square root of 196
Thanks,
Sher
Click here to see answer by zeynep(43)

Question 41998: Solve.

Click here to see answer by checkley71(8403)

Question 42493: Find the value of k such that
z^2+4z+k
is a perfect square.
k=
Click here to see answer by Nate(3500)

Question 42816: SOMEBODY!
ANYBODY!
help.
7 square root of 48x Cubed subtract 8x square root of 108x.
Click here to see answer by stanbon(75887)

Question 41303: Show EACH step in solving each of the following equations. Show which method (factoring, square root method, completing the square, or quadratic formula) you used to solve it and tell why.
a: (x + 2)^2 = 8
Click here to see answer by fractalier(6550)

Question 42878: Solve each of the following quadratic equations by completing the square. Show all necessary steps involved in finding the solutions.
a: x^2 - 6x + 8 = 0
b: x^2 = 4 - 7x
c: 3x^2 - x - 2 = 0

Click here to see answer by psbhowmick(878)

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(307)

Question 43011: Multiply.
(sqrt11 - sqrt5)(sqrt11 + sqrt5)
Thanks
Click here to see answer by fractalier(6550)

Question 43036: find the value of k that completes the square for x^2+10x+k. Need some help with this one for sure. Thanks for looking it over.
Click here to see answer by gsmani_iyer(201)

Question 43093: 2 cubed-root(a^2) / (square-root of 8a)... Im Having trouble with this problem. -thx for your help
Click here to see answer by fractalier(6550)

Question 43045: Use the quadratic formula to solve the following equations. Show all major steps involved and leave solutions in radical form (when applicable).
a: 4x^2 + 5x = 6
Click here to see answer by fractalier(6550)

Question 43265: All variables are real numbers - express in simplified form
square root of 14xy^2 multiplied by the square root of 3xy^3
Click here to see answer by fractalier(6550)

Question 43548: 2. For the function y = x� - 4x - 5, perform the following tasks:
a)Put the function in the form y = a(x - h)� + 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)� + k.
Show graph here.

Explanation of graphing.

d)In your own words, describe how this graph compares to the graph of y = x�?
Answer:

Click here to see answer by Nate(3500)

Question 44006: x-√x = 0
Click here to see answer by adamchapman(301)

Question 44007: √x^3 = 8
Click here to see answer by adamchapman(301)

Question 44008: √x - 1 = 3
Click here to see answer by adamchapman(301)

Question 44075: Please help me fine parametrical roots for:
then range of variables to naumber of roots.

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Question 44096: True or flase: For a triangle with sides having lengths r, s, and t, if r2 = s2 + t2 then the triangle must be a right triangle.
Click here to see answer by adamchapman(301)

Question 44092: The length of a rectangle is 7 feet. It's width is 4 feet. What is the length of it's diagonal?
Click here to see answer by adamchapman(301)

Question 44090: The number halfway between 2 and 35/17 is __________.
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Question 45092: I need to simplify the square root of 7 times the square root of 6. I don't think it can be done but am unclear. Any help would be appreciated.
Thanks
Click here to see answer by stanbon(75887)

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(75887)

Question 45257: I need to simplify the expression 27^-2/3. What happens to the negative exponet.
Click here to see answer by Nate(3500)

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(2152)

Question 45778: (2.11p + 3.42)2 = 9.58
Click here to see answer by tutorcecilia(2152)

Question 45778: (2.11p + 3.42)2 = 9.58
Click here to see answer by atif.muhammad(135)

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(8403)

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