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Graphs/303790: Solve by elimination
5r-6s=-7
6r+5s=77
1 solutions

Answer 217666 by Alan3354(30993) About Me  on 2010-05-12 15:50:13 (Show Source):
You can put this solution on YOUR website!
5r-6s=-7 --> 25r - 30s = -35
6r+5s=77 --> 36r + 30s = 462
----------------------------- Add
61r = 427
r = 7
-------
s = 7


Quadratic-relations-and-conic-sections/303789: please help me find the exact solution for y=x-2 y=x%5E2-2 the chapter in my book is circles, lines, and parabolas. i need my work shown as well. thank you!!
1 solutions

Answer 217663 by Alan3354(30993) About Me  on 2010-05-12 15:46:47 (Show Source):
You can put this solution on YOUR website!
y=x-2 y=x%5E2-2
Since they both equal y:
x-2+=+x%5E2+-+2
x%5E2+-+x+=+0
x = 0
x = 1
--> (0,-2) and (1,-1)


Systems-of-equations/303783: find the equation for the line tangent in y=mx+b form. f(x)=sqrt (x)/5 at (4,2/5)
1 solutions

Answer 217661 by Alan3354(30993) About Me  on 2010-05-12 15:38:28 (Show Source):
You can put this solution on YOUR website!
y+=+sqrt%28x%29%2F5
y' = %281%2F2%29x%5E%28-1%2F2%29%2F5
y' = 1%2F%2810sqrt%28x%29%29
At x = 4, y = 2/5, y' = 1/20 = m
---------------
2/5 = (1/20)*4 + b
b = 1/5
--> y = (1/20)x + 1/5


Graphs/303770: How do I know when do go up or down on the graph? Example. 2x + 3y = 6 Another, 2x - 3y = 6
I hope I am making myself clear because I myself get confused.
Thank you. Benita
1 solutions

Answer 217654 by Alan3354(30993) About Me  on 2010-05-12 15:06:27 (Show Source):
You can put this solution on YOUR website!
Solve for y.
2x + 3y = 6 --> y = (-2/3)x + 2
The coefficient of x is the slope, m = -2/3
Negative slope goes douwn to the right, \ like that.
----------------
Another, 2x - 3y = 6 --> y = (2/3)x - 2
m = +2/3
Positive slopes go up to the right, / like that.




Trigonometry-basics/303762: tan x is greater than 0. what quadrant does this lie in. thank you for any help
1 solutions

Answer 217653 by Alan3354(30993) About Me  on 2010-05-12 14:46:42 (Show Source):
You can put this solution on YOUR website!
tangent = y/x, so it's positive when x and y have the same sign.
-----------
Don't memorize these, use the unit circle.


Trigonometry-basics/303763: sinx is less than 0. what quadrant does this lie in. please help if possible. thank you
1 solutions

Answer 217652 by Alan3354(30993) About Me  on 2010-05-12 14:45:04 (Show Source):
You can put this solution on YOUR website!
sine = y/r, so it's positive for positive y values.
-------------------------
y is negative in Q3 and Q3 --> sine is neg in Q3 and Q4
Use the unit circle to do these.


Sequences-and-series/303740: Find S11 for the geometric series 1+3+9+27+...
Iv'e tried tn=3tn-1 and got t11=3^10 and ended up with 59,049.. I'm an online student and my homework is multiple choice, the options are a)84,934 b)88,573
c) 93,198 d) 96,143
Can you help me? I'm not sure what I'm doing wrong or if I am using the wrong formula, help would definitelly be appreciated =]
Thanks, Rissa
1 solutions

Answer 217651 by Alan3354(30993) About Me  on 2010-05-12 14:42:32 (Show Source):
You can put this solution on YOUR website!
Find S11 for the geometric series 1+3+9+27+...
Iv'e tried tn=3tn-1 and got t11=3^10 and ended up with 59,049.. I'm an online student and my homework is multiple choice, the options are a)84,934 b)88,573
c) 93,198 d) 96,143
Can you help me? I'm not sure what I'm doing wrong or if I am using the wrong formula, help would definitelly be appreciated =]
------------------------
S11 = (1 - 3^11)/(1-3)
= (177147 - 1)/2
= 88573
http://www.math10.com/en/algebra/geometric-progression.html


Volume/303760: if water tank one has a base of 6 feet and water tank two has a base of 8 feet, how many more square feet does the base of water tank 2 cover than the base of water tank 1? (use 3.14 for pi) thank you!!
1 solutions

Answer 217650 by Alan3354(30993) About Me  on 2010-05-12 14:30:56 (Show Source):
You can put this solution on YOUR website!
Are they round?
Is the "base" the radius or diameter?
PS We know what pi is.


Quadratic_Equations/303748: What is the maximum height of h=96t-16t power of two?
1 solutions

Answer 217649 by Alan3354(30993) About Me  on 2010-05-12 14:26:07 (Show Source):
You can put this solution on YOUR website!
What is the maximum height of h=96t-16t power of two?
-------------------
It's at the vertex of the parabola.
That's on the line of symmetry, t = -b/2a = -96/-32
h(3) = 288 - 144
= 144 feet max height


Linear-equations/303741: For the linear equation y=3 state the slope and graph the line.
1 solutions

Answer 217639 by Alan3354(30993) About Me  on 2010-05-12 14:10:49 (Show Source):
You can put this solution on YOUR website!
The slope is zero.
slope = diffy/diffx = 0/diffx
For all values of x, y = 3 --> parallel to the x-axis.


Radicals/303731: x^2+6x-72=0
1 solutions

Answer 217631 by Alan3354(30993) About Me  on 2010-05-12 13:45:48 (Show Source):
You can put this solution on YOUR website!
Hint: 72 = 6*12


Square-cubic-other-roots/303736: +sqrt%28+x%5E2%2B3+%29+%2B1=10
Can you help me with this?
1 solutions

Answer 217630 by Alan3354(30993) About Me  on 2010-05-12 13:44:03 (Show Source):
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+sqrt%28+x%5E2%2B3+%29+%2B1=10
+sqrt%28+x%5E2%2B3+%29+=+9
Square both sides
x%5E2+%2B+3+=+81
x%5E2+=+78
x = +/- sqrt(78)


Coordinate-system/303735: Find the point that lies on the line described by the equation below.
y - 3 = 3(x - 9)

1 solutions

Answer 217629 by Alan3354(30993) About Me  on 2010-05-12 13:39:45 (Show Source):


decimal-numbers/303706: Hi,
Could someone please tell me if this would be the right answer?
Perform the indicated operations.
-19 – 13
Answer: -32 or 32
Thank you very much
1 solutions

Answer 217628 by Alan3354(30993) About Me  on 2010-05-12 13:36:19 (Show Source):


Coordinate-system/303738: Find the point that lies on the line described by the equation below.
y - 3 = 3(x - 9)

1 solutions

Answer 217627 by Alan3354(30993) About Me  on 2010-05-12 13:32:12 (Show Source):
You can put this solution on YOUR website!
Find the point that lies on the line described by the equation below.
y - 3 = 3(x - 9)
--------------------
What do you mean by "the point?" A line is an infinite number of points.
y - 3 = 3(x - 9)
y-3 = 3x-27
y = 3x - 24
Pick any value of x, find y. That's a point on the line.


Inequalities/303721: If 3500/3100 = 3x then x = ?
1 solutions

Answer 217625 by Alan3354(30993) About Me  on 2010-05-12 13:27:08 (Show Source):


Signed-numbers/303733: if n is any negative number ,which of the following must be positive ?
a n/2 b 2n c n + 2 d n - 2 e 2 - n

1 solutions

Answer 217623 by Alan3354(30993) About Me  on 2010-05-12 13:16:27 (Show Source):


Inequalities/303723: 3^500/3^100 = 3x then x = ?
1 solutions

Answer 217622 by Alan3354(30993) About Me  on 2010-05-12 13:14:33 (Show Source):
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3^500/3^100 = 3x
---------------
3x+=+3%5E500%2F3%5E100+=+3%5E400
x+=+3%5E399


expressions/303666: y=-3 to the third power
1 solutions

Answer 217611 by Alan3354(30993) About Me  on 2010-05-12 11:04:16 (Show Source):
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So what? Do you have a question?


Radicals/303640: Please help with this math problem.
x=sqrt(3x+40)
1 solutions

Answer 217609 by Alan3354(30993) About Me  on 2010-05-12 10:50:00 (Show Source):
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x=sqrt(3x+40)
-----------
Square both sides
x%5E2+=+3x+%2B+40
x%5E2+-+3x+-+40+=+0


Length-and-distance/303608: P(3,2) q (7,2) r(7,4)
the coordinates of points p,q, and r in the xy-plane are given above . what is the perimeter of triangle pqr ?
a 12 b 14 c 6+ √20 d 6+ √32 e √164

1 solutions

Answer 217602 by Alan3354(30993) About Me  on 2010-05-12 09:42:57 (Show Source):
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The base is 2
The height is 4
hyp+=+sqrt%284+%2B+16%29+=+sqrt%2820%29
P = 6 + sqrt(20)


real-numbers/303635: if 2.22222 repeats does that means its rational buts it's a non terminating number so is it irrational

1 solutions

Answer 217598 by Alan3354(30993) About Me  on 2010-05-12 09:30:57 (Show Source):
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If it repeats, it's 20/9, which is rational.


Numbers_Word_Problems/303589: The number i am thinking of has three digits, it has two even numbers, one odd number and the total of the number is 7. what number am i
1 solutions

Answer 217596 by Alan3354(30993) About Me  on 2010-05-12 09:29:27 (Show Source):
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124, 142, 214, 241, 412, 421
106, 160, 610, 601
016 and 061 if allowed


Pythagorean-theorem/303605: a square has a diagonal of 12cm. calculate the length of the side of the square correct to 2 decimal places
1 solutions

Answer 217595 by Alan3354(30993) About Me  on 2010-05-12 09:25:53 (Show Source):
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s = length of sides
s%5E2+%2B+s%5E2+=+12%5E2+=+144
2s%5E2+=+144
s%5E2+=+72
s =~ 8.485 cm


Graphs/303631: 2x-y=-5

1 solutions

Answer 217594 by Alan3354(30993) About Me  on 2010-05-12 09:14:29 (Show Source):
You can put this solution on YOUR website!
Thx for sharing. Do you have a question?


Trigonometry-basics/303593: sin1/2 feda equals cos squared feda
1 solutions

Answer 217593 by Alan3354(30993) About Me  on 2010-05-12 09:13:39 (Show Source):
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Do you have a question?
---------------------
I have one - What is feda?


Linear_Equations_And_Systems_Word_Problems/303629: Regarding density and specific gravity. Density = D, mass = m, and volume = V which has the formula D = or mass per unit volume. Liquids, solids and gases all have a density. And if we are dealing with grams and centimeters. Grams is mass and centimeters cubed is the volume. Can you please answer the question below with the proper unit of measure in the answer.
a. Solve the Density formula for v.
b. Pure silver has a density of 10.5 g/cm3. How large (what is the v?) would a piece of silver be if it had a mass of 595.51 g?
c. Solve the Density formula for m.
d. What is the mass of ice that fills a 400 cm3 container, if the density of ice is 0.92 g/cm3?
thank you

1 solutions

Answer 217592 by Alan3354(30993) About Me  on 2010-05-12 09:11:27 (Show Source):
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a. Solve the Density formula for v.
v = m/D
-------------
b. Pure silver has a density of 10.5 g/cm3. How large (what is the v?) would a piece of silver be if it had a mass of 595.51 g?
v = 595.51/10.5
v = 56.715 cc (cubic centimeters) or ml
-----------------------------
c. Solve the Density formula for m.
m = v*D
------------
d. What is the mass of ice that fills a 400 cm3 container, if the density of ice is 0.92 g/cm3?
m = 400*0.92
= 368 grams


Linear-equations/303606: if traveling 200 miles takes 4 hours what would be the mph.
1 solutions

Answer 217591 by Alan3354(30993) About Me  on 2010-05-12 09:06:49 (Show Source):
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200 miles / 4 hours = mph


Trigonometry-basics/303619: Find sine theta if cosine theta= 0.67
1 solutions

Answer 217590 by Alan3354(30993) About Me  on 2010-05-12 09:02:45 (Show Source):
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sin = sqrt(1 - cos^2)
= sqrt(1- 0.4489)
=~ 0.74236


Geometry_proofs/303622: what is the area of a segment of a circle with 6m
1 solutions

Answer 217588 by Alan3354(30993) About Me  on 2010-05-12 08:59:50 (Show Source):
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It depends on the size of the central angle.
Insufficient data.


Polynomials-and-rational-expressions/303528: Simplify the third root of -1/64
I came up with I came up with -1/4, but that is incorrect. Please Help!
1 solutions

Answer 217529 by Alan3354(30993) About Me  on 2010-05-11 22:03:44 (Show Source):
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%28-1%2F4%29%5E3+=+-1%2F64
Why do you think it's incorrect?
It's the principal root, there are 2 others. What were you told the answer is?