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Equations/317510: Find the vertex, the line of symmetry of x is.
f(x) = 1/2 (x+8)^2 + 2 1 solutions
Answer 227364 by Fombitz(13828) on 2010-06-25 13:26:50 (Show Source):
You can put this solution on YOUR website!The equation is in vertex form,
 where (h,k) is the vertex.
The x coordinate of the vertex also specifies the axis of symmetry.
Comparing,
(h,k)=(-8,2)
The axis of symmetry occurs at  .
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Triangles/317513: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters how long is its base? 1 solutions
Answer 227362 by Fombitz(13828) on 2010-06-25 13:23:44 (Show Source):
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Human-and-algebraic-language/317402: "A number cubed less the number tripled"
"The smoke stacks of the luxury liner cleared the bridge by 25 ft as it passed beneath it. Express the height of the stacks in terms of the bridge's height."
"As his reputation and referral business grew, Keith began to charge $75 per service call plus an hourly rate of $50 for the repair and maintenance of home computers. Express the cost of a service call in terms of the number of hours spent on the call." 1 solutions
Answer 227333 by Fombitz(13828) on 2010-06-25 11:05:22 (Show Source):
You can put this solution on YOUR website!"A number cubed less the number tripled"

.
.
.
"The smoke stacks of the luxury liner cleared the bridge by 25 ft as it passed beneath it. Express the height of the stacks in terms of the bridge's height."
 where  is the stack height and  is the bridge height.
.
.
.
"As his reputation and referral business grew, Keith began to charge $75 per service call plus an hourly rate of $50 for the repair and maintenance of home computers. Express the cost of a service call in terms of the number of hours spent on the call."
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Systems-of-equations/317461: I have a problem in my math lab that I can not figure out here is what I have so far...
Solve by substitution method
3x+8y=18
-5x+y=13
solve for y, Y=13+5x
3x+8(13+5x)=18
remove the parenthesis
3x+104+40x=18
What is the coefficient of x? 43
Now solve for x.
The answer for x is -2 but I do not know how to get this answer can you please show me what i am doing wrong.
The answer I get is this 43x=132
Thank you 1 solutions
Answer 227330 by Fombitz(13828) on 2010-06-25 10:59:45 (Show Source):
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Money_Word_Problems/317349: joan had $1000 to invest. she invested part of the money in a COD that paid 4% annual simple interest, and the remainder in a mutual fund that paid 8% annual simple interest. the totsl interest of investments was $68.00. How much did Joan invest in each? 1 solutions
Answer 227328 by Fombitz(13828) on 2010-06-25 10:56:11 (Show Source):
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Equations/317459: I have been working on this and can't seem to get the answer can you help? A rectangular table is four times as long as it is wide. The area of the table is 100ft^2. I can only get so far with it and keep getting the answer wrong. Can you show me how to do it so I can see where I am messing up. 1 solutions
Answer 227326 by Fombitz(13828) on 2010-06-25 10:52:38 (Show Source):
You can put this solution on YOUR website!The area of a rectangle is,
1. 
"Four times long as wide"
2. 
Substitute eq.2 in eq. 1,

Solve for W, then go back and solve for L using either equation.
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Rational-functions/317212: w=Cr^-2
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
100=3963r^-2
I am not sure if I am setting this problem up correctly? Can you let me know and give me some guidance as to what step to take first in solving? 1 solutions
Answer 227320 by Fombitz(13828) on 2010-06-25 10:34:43 (Show Source):
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Numeric_Fractions/317450: Packets of washing powder can be bought individually for 2.35 each or in bulk at a rate of 50 packets for 100 dollars. Calculate the saving possible when bulk buying 200 packets. Express this savings as a percentage of the individual cost of the 200 packets. Give your answer correct to 2 decimal places. 1 solutions
Answer 227318 by Fombitz(13828) on 2010-06-25 10:30:27 (Show Source):
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Trigonometry-basics/317421: A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angle of depression of town a is 55 degrees and the angle of depression of town b is 28 degrees. How far apart are the towns? 1 solutions
Answer 227309 by Fombitz(13828) on 2010-06-25 10:07:01 (Show Source):
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Travel_Word_Problems/317265: An airplane is flying at a speed of 350 mi/h at an altitude of one mile. The plane passes directly above a radoar station at time t=0
a. Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown.
b. Express d as a function of the t (in hours) that the plane has flown.
c. Use composition to express s as a function of t. 1 solutions
Answer 227304 by Fombitz(13828) on 2010-06-25 09:53:38 (Show Source):
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Surface-area/317266: The rectangular prism pictured below has a square left side and an open right side. Its surface area in terms of a and b is 1 solutions
Answer 227303 by Fombitz(13828) on 2010-06-25 09:49:51 (Show Source):
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Complex_Numbers/317423: WHAT IS COMPLEX NUMBER 1 solutions
Answer 227302 by Fombitz(13828) on 2010-06-25 09:49:20 (Show Source):
You can put this solution on YOUR website!Complex numbers are constructions made up of a two real numbers,  ,  , and an imaginary part,  , in the form,  .
The important property of  is  which makes it useful to solve equations of the form,  , among others.
The solutions for  are  and  .

There are many application for complex numbers that provide meaningful interpretations in the real world. Search the internet for examples and properties of complex numbers.
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