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Linear-systems/539622: Can you put these into y=mx+b
x-y=0
5x-3y=10
and x-2y=1
5x-4y= -23
and 4x+3y=8
x-2y=13
and 2x+3y= -12
8x-5y=40
please and thank you 1 solutions
Answer 353483 by Alan3354(30993) on 2011-11-30 20:56:52 (Show Source):
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Triangles/539586: Which three lengths CANNOT be lengths of the sides of a triangle?
23m,16m,10m
15m,13m,12m
18m,5m,10m
8m,8m,15m
I believe 15m,13m,12m 1 solutions
Answer 353482 by Alan3354(30993) on 2011-11-30 20:54:58 (Show Source):
You can put this solution on YOUR website!Which three lengths CANNOT be lengths of the sides of a triangle?
23m,16m,10m
15m,13m,12m
18m,5m,10m
8m,8m,15m
I believe 15m,13m,12m
---------
Why that one? It's almost equilateral.
---------
The longest side has to be more than the difference of the other 2 and less than the sum of the other 2.
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Parallelograms/539501: I am having trouble with number 45:
http://s942.photobucket.com/albums/ad263/jc5211/?action=view¤t=untitled.png
Do I just make 9x = 90? And then solve for x? And the same for z? 1 solutions
Answer 353436 by Alan3354(30993) on 2011-11-30 19:15:41 (Show Source):
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Evaluation_Word_Problems/539476: Anthony is building a toolbox with length 2 feet, width 1 foot, and height 3 feet. What are the dimensions of Anthony's box in inches?
Can you please tell me what the answer to this is, or can you please help me solve it? 1 solutions
Answer 353435 by Alan3354(30993) on 2011-11-30 19:13:04 (Show Source):
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Trigonometry-basics/539489: how do i solve this equation without using a calculator?
(cos (12 degrees)(cos (4 degrees) + (sin (12 degrees)(sin (4 degrees)= cos 16 degrees
thank you my email is fangirl96@yahoo.com 1 solutions
Answer 353434 by Alan3354(30993) on 2011-11-30 19:11:47 (Show Source):
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Travel_Word_Problems/539485: Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours.
a) write expression for time Juan takes to return home
b) Write & solve an equation to find the time Juan spends driving to work 1 solutions
Answer 353431 by Alan3354(30993) on 2011-11-30 19:05:28 (Show Source):
You can put this solution on YOUR website!Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours.
a) write expression for time Juan takes to return home
Find the distance by finding the average speed for the round trip
avg = 2*22*32/(22+32) mi/hr
avg = 1408/54 = 704/27 mi/hr
Round trip time = 2.25 hours
d = r*t = 176/3 miles
One-way = 88/3 miles
-------------
time = d/r = (88/3)/22 = 4/3 hours
b) Write & solve an equation to find the time Juan spends driving to work
time = d/r = (88/3)/32 = 11/12 hours
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Radicals/539322: When dividing the two complex numbers 5+8i
----
1+2i
then the first step is?
I said 5+8i 1-2i
------ * ----
1+2i 1-2i 1 solutions
Answer 353399 by Alan3354(30993) on 2011-11-30 15:53:07 (Show Source):
You can put this solution on YOUR website!When dividing the two complex numbers 5+8i
----
1+2i
then the first step is?
I said 5+8i 1-2i
------ * ----
1+2i 1-2i
-----------------
That's correct.
Multiply NUM and DEN by the conjugate of the DEN.
=
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Radicals/539264: h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
List ordered pairs (t,h)
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ? 1 solutions
Answer 353398 by Alan3354(30993) on 2011-11-30 15:50:54 (Show Source):
You can put this solution on YOUR website!duplicate, solved 2 times today
(t,h) = (3,0) at impact
------------------------
Sub the value for t and find h:
0 / 6 --> (0,6)
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / 0 --> (3,0)
----------------
Do the others the same way.
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Polygons/539245: If a regular poligon had an interior angle of 176 how many sides would it have 1 solutions
Answer 353395 by Alan3354(30993) on 2011-11-30 15:45:11 (Show Source):
You can put this solution on YOUR website!If a regular poligon had an interior angle of 176 how many sides would it have
---------
The exterior angle is 4 degs (180 - 176)
The sum of exterior angles for ALL polygons is 360.
360/4 = 90 sides
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Average/539310: Manuel's quiz scores are 76, 81, and 77. What grade must he get on his fourth quiz to get an average of 80? 1 solutions
Answer 353391 by Alan3354(30993) on 2011-11-30 15:37:14 (Show Source):
You can put this solution on YOUR website!Manuel's quiz scores are 76, 81, and 77. What grade must he get on his fourth quiz to get an average of 80?
-------------
76 + 81 + 77 = 234
4*80 = 320
320 - 234 = 86 needed
----------------------
or,
(76 + 81 + 77 + s)/4 = 80
234 + s = 320
s = 86
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Systems-of-equations/539309: The difference of two numbers is 20. the sum of three times the first and four times the second is 18. find the two numbers. So far this is what I have:
a-b=20
3a+4b=18
3(2)+4(3)=18 but 2-3 does NOT equal 20.
I'm not sure how to figure this out. 1 solutions
Answer 353390 by Alan3354(30993) on 2011-11-30 15:35:16 (Show Source):
You can put this solution on YOUR website!The difference of two numbers is 20. the sum of three times the first and four times the second is 18. find the two numbers. So far this is what I have:
a-b=20
3a+4b=18
3(2)+4(3)=18 but 2-3 does NOT equal 20.
I'm not sure how to figure this out.
------------------
Where did you get the 2 & 3?
--------------
a-b=20 --? a = b+20
3a+4b=18
3(b+20) + 4b = 18
3b+60 + 4b = 18
7b = -42
b = -6
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a = 14
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Polynomials-and-rational-expressions/539281: Find the x-intercepts and the vertex of the graph of
the function. Then sketch the graph of the function.
y = (x - 4)(x + 2)
y = (x - 2)(x - 6)
any help with this would be greatly appreciated, thanks. 1 solutions
Answer 353383 by Alan3354(30993) on 2011-11-30 15:11:00 (Show Source):
You can put this solution on YOUR website!Find the x-intercepts and the vertex of the graph of
the function. Then sketch the graph of the function.
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y = (x - 4)(x + 2)
@ the y-int x = 0
y = (-4)*2 = -8
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@ the x-ints, y = 0
Either x-4 = 0 --> x = 4, or
x+2 = 0 --> x = -2
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y = (x - 2)(x - 6)
Do it like the one above.
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Travel_Word_Problems/539272: In a race, if a dog going 37 mph gets a headstart of 12 yards, how long will it take a dog going 38 mph to catch up? 1 solutions
Answer 353378 by Alan3354(30993) on 2011-11-30 14:52:53 (Show Source):
You can put this solution on YOUR website!In a race, if a dog going 37 mph gets a headstart of 12 yards, how long will it take a dog going 38 mph to catch up?
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The difference in speed is 1 mi/hr = 22/15 ft/sec
12 yds = 36 ft
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d = r*t
t = d/r = 36/(22/15) = 270/11 seconds
~ 24.5 seconds
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Note that the time would be the same if the speeds are both >0 and differ by 1 mi/hr.
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Coordinate-system/539278: Can anyone help me with this question? Please. Determine the rectangular coordinates for the following polar coordinate: (2, -pi) 1 solutions
Answer 353375 by Alan3354(30993) on 2011-11-30 14:49:10 (Show Source):
You can put this solution on YOUR website!Can anyone help me with this question? Please. Determine the rectangular coordinates for the following polar coordinate: (2, -pi)
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-pi puts it on the x-axis in the negative direction
--> (-2,0)
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Volume/539279: A typical box of cereal has demensions 40 cm by 30 cm by 5 cm. Determine the dimensions of a cylindrical container that can hold the same amount of cereal. 1 solutions
Answer 353374 by Alan3354(30993) on 2011-11-30 14:47:32 (Show Source):
You can put this solution on YOUR website!A typical box of cereal has demensions 40 cm by 30 cm by 5 cm. Determine the dimensions of a cylindrical container that can hold the same amount of cereal.
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Vol = 40*30*5 = 6000 cc
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For a cylinder,

Pick a radius, solve for h
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Radicals/539258: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ? 1 solutions
Answer 353364 by Alan3354(30993) on 2011-11-30 14:00:20 (Show Source):
You can put this solution on YOUR website!Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
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It hits the ground when h = 0.
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h=-16t^2+46t+6 = 0
| Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) |
Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.
First, we need to compute the discriminant : .
Discriminant d=2500 is greater than zero. That means that there are two solutions: .


Quadratic expression can be factored:

Again, the answer is: -0.125, 3.
Here's your graph:
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t = x
Ignore the negative solution.
t = 3 seconds
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Quadratic-relations-and-conic-sections/539038: im having a difficulty in solving this problem. your help is highly appreciated.
a point moves so that its distance from the point 4,0 is always one half its distance from the line x-16=0. find the equation of its locus 1 solutions
Answer 353363 by Alan3354(30993) on 2011-11-30 13:55:19 (Show Source):
You can put this solution on YOUR website!The other tutor's solution gives an ellipse, which is obviously not right.
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So far, I get the same answer, tho.
More later.
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Every point that I check on the ellipse fits.
I expected a parabola.
The eqn is
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