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Rate-of-work-word-problems/458011: It takes a plane eight hours to fly 1280 miles with the wind. If it takes it 12 hours and 48 minutes (12.8 hours) to cover the same distance when flying against the wind, find the speed of the wind in miles per hour. 1 solutions
Answer 314174 by Alan3354(30993) on 2011-06-06 10:15:07 (Show Source):
You can put this solution on YOUR website!1280/8 = 160 mph
1280/12.8 = 100 mph
The plane's airspeed is the average = (160 + 100)/2 = 130 mph
The windspeed is the difference = 160 - 130 = 30 mph
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Expressions-with-variables/458021: The value of x,y and z respectively on simplifying the equation 2x+3y=0,3y+4z=14.2x+4z=26 is?Thanks a lot. 1 solutions
Answer 314164 by Alan3354(30993) on 2011-06-06 09:43:02 (Show Source):
You can put this solution on YOUR website!2x+3y=0 ---> 2x = -3y
3y+4z=14
2x+4z=26
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Sub for 2x in the 3rd eqn
-3y + 4z = 26
+3y + 4z = 14 eqn 2
-------------- Add
8z = 40
z = 5
-------
+3y + 4z = 14 eqn 2
3y + 20 = 14
3y = -6
y = -2
-------
2x = -3y = 6
x = 3
(x,y,z) = (3,-2,5)
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Circles/457978: PlSSS HEEELLLPPP!!! This are the last problems I'm stuck on
Find the equation of the circle.
Center C(2, -3). radius 5
Center C(-4, 6). passing through P(1, 2)
Center C(4, -1), tangent to the y-axis
1 solutions
Answer 314136 by Alan3354(30993) on 2011-06-06 02:17:47 (Show Source):
You can put this solution on YOUR website!Center C(2,-3). radius 5
 Standard form of a circle
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Center C(-4,6). passing through P(1, 2)
Find the distance from C to P, that's the radius.
Then it's like the first one.
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Center C(4,-1), tangent to the y-axis
The radius is the distance from C to the y-axis
r = 4
See #1
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test/457838: What does it mean when the exponent is at the bottom right corner of the number instead of at the top? 1 solutions
Answer 314048 by Alan3354(30993) on 2011-06-05 18:22:43 (Show Source):
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Geometry_Word_Problems/457829: Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0 1 solutions
Answer 314042 by Alan3354(30993) on 2011-06-05 18:11:50 (Show Source):
You can put this solution on YOUR website!Determine the vertical distance, the horizontal distance, and the shortest distance between the following pair of parallel lines. Round distance to the nearest hundredth, if necessary. Q1) 3x+2y=6 and 3x+2y=0
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Find the y-ints to get the y distance
3x+2y=6 --> y-int = 3
3x+2y=0 --> y-int = 0
y distance = 3
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Solve for x to get the x distance
3x+2y=6 --> x-int = 2
3x+2y=0 --> x-int = 0
x distance = 2
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shortest distance between 2 lines
= x*y/sqrt(x^2 + y^2)
= 2*3/sqrt(13)
= 6sqrt(13)/13
=~ 1.6641
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Linear-equations/457793: I am not getting this could someone please help me...thanks!
For the polynomial: x^4-9x^2+4x+12
a)find the rational zeros and then the other zeros; that is, solve f(x)=0
b)Express f(x) as a product of linear factors.
1 solutions
Answer 314037 by Alan3354(30993) on 2011-06-05 17:26:25 (Show Source):
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Quadratic_Equations/457781: I really don't understand this one:
Determine the nature of the solution of the equation
x^2-18x+81=0 1 solutions
Answer 314031 by Alan3354(30993) on 2011-06-05 16:30:48 (Show Source):
You can put this solution on YOUR website!You can do it 2 ways.
The discriminant = 
--> 2 real solutions, both x = 9
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Or you can factor it
= (x-9)^2
same thing, 2 real solutions x = 9, or x = 9, multiplicity 2.
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Trigonometry-basics/457671: New York and Los Angeles are 2450 mi. apart. Find the angle that the arc between these two cities subtends at the center of the earth. (radius of the earth is 3960 mi.) 1 solutions
Answer 314030 by Alan3354(30993) on 2011-06-05 16:28:15 (Show Source):
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Pythagorean-theorem/457737: What is the third side measure for this triangle?
Base length: 15 in
height length: 8 in
diagonal length: ?
Right triangle solution c= 15squared + 8squared = 289 square root of 289 = 17 ft 1 solutions
Answer 314029 by Alan3354(30993) on 2011-06-05 16:25:53 (Show Source):
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