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Alan3354 answered: 30963 problems
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Circles/329434: Part a) Given three noncollinear points,construct the circle and then write the equation of the circle.
The points are A(12,-1),B(6,-3),C(4,3)
Part b) Using the equation and graph of the circle above,determine if the following lines are tangent,secant, or neither.
y=1
y=2x-1 1 solutions
Answer 236173 by Alan3354(30983) on 2010-08-06 14:48:22 (Show Source):
You can put this solution on YOUR website!Use determinants.
|x^2 + y^2 +x +y +1|
x1^2+y1^2 x1 y1 +1|
x2^2+y2^2 x2 y2 1| = 0
x3^2+y3^2 x3 y3 1|
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(x1,y1), etc are the 3 points.
It looks messy, but I made an Excel sheet that does them.
It also does parabolas.
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test/329455: the depth of a lake is 26 meters. melting snow causes the lake to rise 0.05 meters each day. at the end of 8 days, what will be the dept, in meters,of the lake? 1 solutions
Answer 236172 by Alan3354(30983) on 2010-08-06 14:41:42 (Show Source):
You can put this solution on YOUR website!the depth of a lake is 26 meters. melting snow causes the lake to rise 0.05 meters each day. at the end of 8 days, what will be the dept, in meters,of the lake?
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0.05 m/day * 8 days = 0.4 meters
26 + 0.4 = 26.4 meters
Was that hard?
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Functions/329475: hi, they said i need to make a t table for this question on function notation and i also need to graph, this is the question.
f(x) = x
there are straight lines between the "x" 1 solutions
Answer 236168 by Alan3354(30983) on 2010-08-06 14:25:16 (Show Source):
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Quadratic_Equations/329425: the length of a rectanlge is twice the width. The area is 128yd^2. I know that A=2(L)+2(w). But with this equation wouldn't it be calcutaed differently? given the equation -0.4x^2+11.2x+14 for an event selling tickets. I know that the graph would open downward because of the negative 0.4x. Now it is asking the# if days since the 1st. day of tickets sold, when the sales peaked and how many sold that day. I'm assuming that the quadratic equation should apply here? 1 solutions
Answer 236131 by Alan3354(30983) on 2010-08-06 11:19:31 (Show Source):
You can put this solution on YOUR website!the length of a rectanlge is twice the width. The area is 128yd^2. I know that A=2(L)+2(w). But with this equation wouldn't it be calcutaed differently?
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2L + 2W is the perimeter
Area = L*W
L = 2W
A = 2W*W = 128
W^2 = 64
W = 8
L = 16
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given the equation -0.4x^2+11.2x+14 for an event selling tickets. I know that the graph would open downward because of the negative 0.4x. Now it is asking the# if days since the 1st. day of tickets sold, when the sales peaked and how many sold that day. I'm assuming that the quadratic equation should apply here?
That's not an equation, there's no equal sign.
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Geometric_formulas/329296: what is the volume of the cylinder? the top is 15in.and the side 21in. 1 solutions
Answer 235997 by Alan3354(30983) on 2010-08-05 19:43:22 (Show Source):
You can put this solution on YOUR website!what is the volume of the cylinder? the top is 15in.and the side 21in.
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For a cylinder,
 r is the radius of the base and h is the height.
"the top is 15in" ?? is that the radius or the diameter? Circumference?
I assume side 21 is the height.
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Radicals/329271: Sorry, I put the equation in wrong. Divide by lowest term and reduce. The equation is:
x³-1 ÷ x²+ 1 ÷ 9x²+9x+9 ÷ x²-x 1 solutions
Answer 235986 by Alan3354(30983) on 2010-08-05 18:57:59 (Show Source):
You can put this solution on YOUR website!Sorry, I put the equation in wrong. Divide by lowest term and reduce. The equation is:
x³-1 ÷ x²+ 1 ÷ 9x²+9x+9 ÷ x²-x
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that makes no sense. Which is the "lowest term" to divide by?
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test/329261: factor the trinomial? -3x2 - 10x - 8 1 solutions
Answer 235981 by Alan3354(30983) on 2010-08-05 18:38:25 (Show Source):
You can put this solution on YOUR website!factor the trinomial? -3x2 - 10x - 8
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It'll be (x + b1)*(3x + b2)
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b1 & b2 will be either:
1 & 8 or 2 & 4.
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Do 3x2 + 10x + 8
It's simpler, since everything can be positive, then add one minus sign.
PS Getting the answer won't be of much benefit to you.
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logarithm/329258: Use the properties of logaritms to rewrite the expression as a single logarithm.
3 log[a]5-4 log[a]2
I answered 0, but am not sure. 1 solutions
Answer 235975 by Alan3354(30983) on 2010-08-05 18:20:42 (Show Source):
You can put this solution on YOUR website!Use the properties of logaritms to rewrite the expression as a single logarithm.
3 log[a]5-4 log[a]2
----------------------
3 log[a]5-4 log[a]2
= 
= 
= 
=
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Graphs/329252: How to graph f(x)=3/2x-2 1 solutions
Answer 235972 by Alan3354(30983) on 2010-08-05 18:17:22 (Show Source):
You can put this solution on YOUR website!If it's (3/2)x - 2, it's a straight line. You need 2 points.
Pick a value for x, and find f(x). Plot the point.
Do it again.
Draw a line thru them.
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If it's 3/(2x) - 2, you'll need more than 2 points.
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Signed-numbers/329256: how do you do
(3/4-2/3)+(1/2+1/3) 1 solutions
Answer 235970 by Alan3354(30983) on 2010-08-05 18:15:01 (Show Source):
You can put this solution on YOUR website! how do you do
(3/4-2/3)+(1/2+1/3)
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Find a common denominator for (3/4-2/3) and subtract.
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Find a common denominator for (1/2+1/3) and add.
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Then do the same with the 2 results.
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Systems-of-equations/329243: Solve this system algerbraically.
2x+ 6y = 17
2x -10y= 9 1 solutions
Answer 235964 by Alan3354(30983) on 2010-08-05 18:02:23 (Show Source):
You can put this solution on YOUR website!Solve this system algerbraically.
2x+ 6y = 17
2x -10y= 9
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I don't know how to do it algerbraically.
Or algebraically.
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2x+ 6y = 17
2x -10y= 9
----------- Subtract
16y = 8
y = 1/2
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2x -10y= 9
2x - 5 = 9
2x = 14
x = 7
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Geometry_Word_Problems/329108: Suppose the sides of a cube are each increased by 20%.
What is the percentage increase in the surfaace area of the solid?
What is the percentage increase in the volume of the solid? 1 solutions
Answer 235937 by Alan3354(30983) on 2010-08-05 16:05:05 (Show Source):
You can put this solution on YOUR website!Suppose the sides of a cube are each increased by 20%.
What is the percentage increase in the surfaace area of the solid?
Area is a function of the square of the sides.
1.2*s = 1.2^2*area
= 1.44*area
= 44% increase
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What is the percentage increase in the volume of the solid?
Volume is a function of the cube of the sides.
1.2*s = 1.2^3*V
= 1.728V
= 72.8% increase
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Radicals/329229: Hello!
I had a question that I worked, I will provide my process...but I don't believe that I am correct. the question is asking me to rewrite with rational exponents.
(sqrt6mn)^9
my answer is
(6mn)^9/2 is this correct?
Thanks a million!
Appreciate all of your advice and help!
Julie
1 solutions
Answer 235935 by Alan3354(30983) on 2010-08-05 16:01:17 (Show Source):
You can put this solution on YOUR website!(sqrt6mn)^9
my answer is
(6mn)^9/2 is this correct?
---------------------------
 does equal

But what's usually expected is to minimize what's under the radical.
= 
or
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Polynomials-and-rational-expressions/329158: Maria can shovel snow from her driveway in 60 minutes. Jim can do the same job in 55 minutes. How long would it take maria and jim to shovel the driveway if they worked together?
Thank you 1 solutions
Answer 235928 by Alan3354(30983) on 2010-08-05 15:48:58 (Show Source):
You can put this solution on YOUR website!M does 1/60 of the job per minute.
J does 1/55 per minute.
Together, they do 1/60 + 1/55 per minute
= 60/3300 + 55/3300
= 115/3300 per minute
--> 3300/115 minutes per job
= 660/23 minutes
=~ 28.7 minutes
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Use the shortcut, product/sum
60*55/(60 + 55)
= same answer
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Quadratic_Equations/329221: Hello,
I would greatly appreciate your help on these questions.
We have seen a parabola intersecting the x-axis twice and y-axis once.
1. Does any graph of any function intersect both the axes at least once? twice? or more?
2. How about a function that doesn't intersect any of the axes? Discuss with examples.
Thanks so much for your time!
Vanessa 1 solutions
Answer 235922 by Alan3354(30983) on 2010-08-05 15:37:57 (Show Source):
You can put this solution on YOUR website!We have seen a parabola intersecting the x-axis twice and y-axis once.
1. Does any graph of any function intersect both the axes at least once? twice? or more?
No. y = 2 is parallel to the x-axis, so there's no intersection of it. Only 1 intersection of the y-axis.
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2. How about a function that doesn't intersect any of the axes?
eg, the circle (x-5)^2 + (y-5)^2 = r^2 doesn't intersect either asix, if r is less than 5.
A circle can be composed of 2 functions. Neither half will intersect the axes.
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Discuss with examples.
I did.
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Trigonometry-basics/329103: 13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° .
a. 0
b. 1/2
c. 1
d. 2
*I simplified the equation to (1/2)(4)°-(2)°/(4)°, then I got stuck. Please help me and I thank you for your time.
1 solutions
Answer 235803 by Alan3354(30983) on 2010-08-05 08:52:38 (Show Source):
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Systems-of-equations/328962: Use a system of equations in two variables to solve each problem. I already know that the answer is 1 mph. Can you help me determine how?
A kayaker can paddle 8 miles down a river in 2 hours and make the return trip in 4 hours. Find the speed of the current in the river. 1 solutions
Answer 235709 by Alan3354(30983) on 2010-08-04 21:23:02 (Show Source):
You can put this solution on YOUR website!Speed downstream = 8/2 = 4 mph
Speed upstream = 8/4 = 2 mph
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The kayak's speed relative to the water is the average, = (4+2)/2 = 3 mph
The current is the difference, 4-3 = 1 mph
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Equations/328979: When you multiply the two numbers you get a product of 225. When you add these same two numbers you get 30. What are the two numbers? 1 solutions
Answer 235702 by Alan3354(30983) on 2010-08-04 20:40:34 (Show Source):
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