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Inequalities/722755: In interval notation, the set {x/x>0} is written
1 solutions

Answer 442856 by solver91311(16897) About Me  on 2013-03-06 15:05:55 (Show Source):
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John

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Miscellaneous_Word_Problems/722759: one guy wire is attached to the top of a 12 foot pole and the other end is anchored into the ground 5 feet from the base of the pole. Find the length of the guy wire.
1 solutions

Answer 442855 by solver91311(16897) About Me  on 2013-03-06 15:03:15 (Show Source):
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5, 12, 13 is a Pythagorean Triple

John

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pythagorean/722758: My triangle has two sides of 13cm and 12cm. I squared them both and got 144 +169=c^2. It was then 313=c^2. From there I'm stuck I need to find the radical form or something like that but it doesn't match with the times table my teacher have me. Help!
1 solutions

Answer 442853 by solver91311(16897) About Me  on 2013-03-06 15:02:30 (Show Source):
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313 is odd, so not divisible by 2.

The digits of 313 do not sum to a number divisible by 3, so not divisible by 3

Does not end in 0 or 5, so not divisible by 5

Not divisible by 7, 11, 13, or 17 by trial and . Therefore 313 is prime.

Hence, the best you can do is say

John

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Quadratic-relations-and-conic-sections/722706: find center, foci, vertices, and asymptotes of the hyperbola.
16x^2-9y^2-96y+144=0
somehow i have gotten it down to:
(16(x-3)^2)/0-(9y^2)/0=1

1 solutions

Answer 442852 by solver91311(16897) About Me  on 2013-03-06 14:57:09 (Show Source):
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I cannot emphasize this strongly enough: You cannot, under any circumstances, divide by zero!

Now, assuming that the in your original is a typo and you really meant , then everything else you did was correct. You should have obtained:



This is a degenerate hyperbola, in other words two intersecting straight lines. The "center" is the point of intersection. There are no vertices or foci, and the lines themselves would be the asymptotes if the RHS of your equation were other than zero.



Take the square root of both sides:





Which are the two straight lines:





Which intersect at

John

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Polynomials-and-rational-expressions/722701: How to Factor Completely and show the steps:
1. t^2 + 4z^2
2. y^3 = y^2 -4y -4

Solve using ac method and show the steps.

9t^2 + 5t -4
1 solutions

Answer 442825 by solver91311(16897) About Me  on 2013-03-06 13:01:50 (Show Source):
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does not factor over the Real numbers. If you want to factor over the complex numbers, write back and say so.



Does not have rational factors. Suspect the equals sign between and is a typo (it factors nicely if that is a + sign instead).



Cannot be solved. You can't "solve" something that doesn't have a relational operator (=, <, >, etc.). It can be factored, but that is not what you asked.

1. Pay more attention to what you have written and correct any errors BEFORE you hit "Send"

2. Read, understand, and follow the written instructions for posting. Namely, complete explanation of what is required, complete explanation of what you do not understand, a complete description of what you have tried, and -- pay careful attention now -- ONE problem per posting.

John

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Linear-equations/722174: y=ax^2+bx+c
(0,29.8): 0a+0b+1=29.9
(2,29.9): 4a+2b+1=29.9
(4,30.1): 16a+4b+1=30.1
Find the values of a, b, and c such that y=ax^2+bx+c models this data. (Make into one equation).
1 solutions

Answer 442658 by solver91311(16897) About Me  on 2013-03-05 12:28:25 (Show Source):
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Where did you get the "1" in each of your equations?

When you get the three equations in a, b, and c written correctly, solve the 3X3 system. Hint: Since the coefficients on a and b are zero in the first equation, you can determine the value of c directly and the system degenerates to a more easily solved 2X2 system.

John

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Equations/722172: Can someone simplify these please?!
(1/2k)-(1/3k)+(1/6k)

thanks!!!
1 solutions

Answer 442657 by solver91311(16897) About Me  on 2013-03-05 12:24:17 (Show Source):
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Depends on whether you mean:



or




John

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Numbers_Word_Problems/722173: The sum of two numbers is 47. The difference of two numbers is 9. What are the numbers?
1 solutions

Answer 442656 by solver91311(16897) About Me  on 2013-03-05 12:20:49 (Show Source):
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Solve the 2X2 system for

John

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Pythagorean-theorem/722165: Given information:
If x represents an even integer, then x+2 represents the next consecutive even integer.
The lengths of the sides of a right triangle are consecutive even integers. Find these lengths. (Hint: Use the Pythagorean theorem.)
1 solutions

Answer 442655 by solver91311(16897) About Me  on 2013-03-05 12:19:04 (Show Source):
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Not enough information to solve this for a specific answer. As stated, any pair of consecutive even numbers satisfies the given conditions. Even if the measure of the hypotenuse were restricted to the rational numbers, there are still infinite solutions to this problem.

John

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Proofs/722156: I need help solving this proof.
1.T = (L > K)
2.~N * K
Conclusion: T

* = and
> = If..Then
I can use all 19 rules
Thanks!
1 solutions

Answer 442654 by solver91311(16897) About Me  on 2013-03-05 12:01:55 (Show Source):
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You need to use the idea that is true whenever is true. Go look up the truth table for .

So from we can infer . Then from we can infer the truth of which is equal to , therefore

John

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test/721862: I need to solve the absolute value equation
1. {5x-6}=x
2. {3x-4}=x-8
1 solutions

Answer 442539 by solver91311(16897) About Me  on 2013-03-04 18:12:20 (Show Source):
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So







OR







John

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Linear-equations/721855: Water is slowly leaking from a large bottle. The percent y (in decimal form) of water remaining the bottle after x hours is y = -0.02x + 1
a. graph the equation
b. interpret the x and y intercepts
c. interpret the slope
d when will the bottle be one quarter full
1 solutions

Answer 442535 by solver91311(16897) About Me  on 2013-03-04 18:08:12 (Show Source):
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Graph the equation just like graphing any other linear equation in slope-intercept form. The y-coordinate of the y-intercept is the fraction of the bottle still containing water at time 0 (x = 0), that is, when the bottle is full. The x-coordinate of the x-intercept is the time when the bottle has 0% of the water left in it, i.e., when the bottle is empty. The slope is the rate at which the water is leaking from the bottle. Set y = 0.25 and then solve for x.

John

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testmodule/721839: The sum of three whole numbers between 0 and 10 is 16. The product of the numbers 120. The sum of the two smaller numbers equals the greatest number. What are the the numbers?
1 solutions

Answer 442532 by solver91311(16897) About Me  on 2013-03-04 17:58:18 (Show Source):
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If the product of the three numbers is 120, since 120 ends in 0, one of the three numbers must be either 5 or 10. If one of the numbers is 10, then the product of the other 2 is 12 and they must add up to 10. No such numbers. So one of the numbers has to be 5. Dividing 120 by 5 is 24. The two single digit factors of 24 are either 4 and 6 or 3 and 8. No combination of 4, 5, and 6 exists where the sum of two of the digits is the third. But 3, 5, and 8 work because 3 plus 5 is 8. Recap: 3 + 5 + 8 = 16. 3 * 5 * 8 = 120. and 3 + 5 = 8. All conditions satisfied.

John

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Square-cubic-other-roots/721841: 1.what is the cubed root of 7 divied by the cube root of 3?
2.What is the cube root of 81 divied by the cube root of 3?
3.The cube root of 14 minus the cubet root of 112?
4.The cube root of 14 times the cube root of 13?
1 solutions

Answer 442527 by solver91311(16897) About Me  on 2013-03-04 17:31:46 (Show Source):
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Review the lesson on Rationalizing Denominators:

rationalizing denominators

John

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expressions/721842: Solve using elimination by addition of the equations: 2m-m-10, m-2n-4
1 solutions

Answer 442526 by solver91311(16897) About Me  on 2013-03-04 17:30:27 (Show Source):
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Can't help you. You don't have any equations.

John

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sets-and-operations/721843: How do i show 45 divided by 2,297 using showing my work
1 solutions

Answer 442525 by solver91311(16897) About Me  on 2013-03-04 17:29:41 (Show Source):
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This is an algebra site. You need an arithmetic site.

John

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Square-cubic-other-roots/721845: in a graphing radical equations problem, how does a negative sign in front of the radical sign affect the answer?
1 solutions

Answer 442524 by solver91311(16897) About Me  on 2013-03-04 17:28:58 (Show Source):
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puts the value of the function below the x-axis.

John

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Permutations/721844: a roller coaster has room for 10 people. the people sit single file, one after the other. how many different arrangements are possible for 10 passangers on the roller coaster
1 solutions

Answer 442523 by solver91311(16897) About Me  on 2013-03-04 17:28:08 (Show Source):
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There are 10 ways to choose the first person, then for each of those 10 ways there are 9 ways to choose the second person -- altogether 90 ways to choose the first two people. Then for each of those 90 ways there are 8 ways to choose the third person.

Altogether, for all 10 people: 10!. Use your calculator.

John

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test/721811: 2x-3y= -6
I do not understand how to get slope or Y-intercept
1 solutions

Answer 442522 by solver91311(16897) About Me  on 2013-03-04 17:22:00 (Show Source):
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Add -2x to both sides. Divide both sides by -3. Then the slope is the coefficient on x and the y-intercept is the point (0,b) where b is the constant term.

John

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�t�e�s�t/721818: Solve by factoring the using the zero product rule.
1/4x^2-1/9=0
1 solutions

Answer 442521 by solver91311(16897) About Me  on 2013-03-04 16:51:34 (Show Source):
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Factor the difference of two squares, note that 1/4 is 1/2 squared and 1/9 is 1/3 squared.

John

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test/721817: Find the perimeter of each polygon
1 solutions

Answer 442520 by solver91311(16897) About Me  on 2013-03-04 16:50:32 (Show Source):
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For any polygon, the perimeter is the sum of the measures of the sides.

John

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Geometry_Word_Problems/721819: word problem -Charles has a circular carpet in his drawing room he wants to put a table in the middle of the carpet the diameter of carpet is 12 meters, diameter of table is 4 meters, calculate area of carpet is left after putting the table in the place.
1 solutions

Answer 442519 by solver91311(16897) About Me  on 2013-03-04 16:48:43 (Show Source):
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Calculate the area of the carpet. Calculate the area of the table. Subtract the area of the table from the area of the carpet.

John

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Functions/721742: Explain Domain and range of a function.

1 solutions

Answer 442518 by solver91311(16897) About Me  on 2013-03-04 16:47:24 (Show Source):
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The domain of a function is the set of values for which the function is defined. The range of a function is the set of values that the function can assume for all values in the domain.

John

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Complex_Numbers/721798: (5)/(3-i) PLEASE HELP
1 solutions

Answer 442510 by solver91311(16897) About Me  on 2013-03-04 16:07:24 (Show Source):
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Please help do what? I'm not going to try to guess what you want, so you have to repost with a complete question. By the way, when you do repost, turn off your Caps Lock.

John

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Subset/721796: what is the proper subset of 0,16,19,1
1 solutions

Answer 442509 by solver91311(16897) About Me  on 2013-03-04 16:05:52 (Show Source):
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There are subsets of any set with elements, hence there are proper subsets of any set with elements. So for your set with 4 elements there are 15 proper subsets. Bottom line: I can't answer your question because you did not provide enough information.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Permutations/721792: If p, r and s are three different prime numbers greater than 2, and n= p*r*s, how many positive factors, including one and n, does n have?
1 solutions

Answer 442504 by solver91311(16897) About Me  on 2013-03-04 16:01:44 (Show Source):
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For a total of 8

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Permutations/721731: A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 10 stocks?
1 solutions

Answer 442489 by solver91311(16897) About Me  on 2013-03-04 15:01:20 (Show Source):
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There are 3 ways for the first stock to behave. For each of those ways, there are 3 ways for the second stock to behave, hence there are 9 ways for the first two stocks to behave...times 3, times 3, times 3..., in other words: . Use your calculator.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Rational-functions/721729: The cost for using 20 HCF of water is $33.08, and the cost for using 57 HCF is $83.03. What is teh cost for using 31 HCF of water?
---What is the formula used to find the answer?
1 solutions

Answer 442480 by solver91311(16897) About Me  on 2013-03-04 13:28:11 (Show Source):
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You actually don't provide enough information to answer this question. You need to specifiy that the relationship is linear. However, since you only give two data points, it is reasonable to assume linearity.

You are given two points: (20,33.08) and (57,83.03). Use the two-point form of an equation of a straight line to derive an equation of the desired relationship:



where and are the coordinates of the given points.

Do the arithmetic and simplify. Then substitute 31 for and calculate the value of that results.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




Circles/721725: What is the measure of minor arc BE? arc AB = 20 degrees, arc BC = 30 degrees, arc CD = 40 degrees, arc DE, EF = 110 degrees, arc AF = 90 degrees.
1 solutions

Answer 442478 by solver91311(16897) About Me  on 2013-03-04 13:19:45 (Show Source):
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Doesn't make sense. Your arcs add up to more than 360.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




Travel_Word_Problems/721727: Kevin lives 6 1/2 miles from the university. If he walks 1/3 of the way and takes a break, what is the remaining distance to the university?


Is it asking me to subtract?
1 solutions

Answer 442477 by solver91311(16897) About Me  on 2013-03-04 13:15:24 (Show Source):
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If he stops after 1/3 of the way, he has 2/3 of the way remaining. Multiply 6.5 times 2, then divide by 3.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




Linear-equations/721726: What is 4x+20?
1 solutions

Answer 442476 by solver91311(16897) About Me  on 2013-03-04 13:12:56 (Show Source):
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It is a linear binomial expression.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism