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A (x+4)^2 + y^2 = 16
B (x+4)^2 + (y+4)^2 = 16
C (x+4)^2 + (y+4)^2 = 0
D x^2 + y^2 = 0
E ^2 + y^2 = 4
F x^2 + y^2 = 16
I have no idea where to start on this. Id apperciate seeing the steps and the correct answer. Thank you so much for all your help! 1 solutions
Answer 119342 by jim_thompson5910(28598) on 2008-10-13 23:27:37 (Show Source):
You can put this solution on YOUR website!The formula for any circle is  where the center is at (h,k) and the radius is "r"
So in this case, the center is (0,0) which means that h=0 and k=0. Also, the radius is 4 which means that
So the equation goes from  to  after plugging in the given data
Now simplify to get
So the answer is F
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Linear-equations/161951: please help: y≥-9/5x+7 Graph each linear inequality. 1 solutions
Answer 119340 by jim_thompson5910(28598) on 2008-10-13 23:00:10 (Show Source):
You can put this solution on YOUR website!1) First graph the equation  . The graph of  is:
2)
Now since the inequality sign is a "greater than or equal to sign", this tells us to shade everything above the line (since EVERY "y" value in this region is greater than or equal to every "y" on the line)
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Equations/161945: (a) (4x+2)(2x) = 32
(b) (3x+2)(9x+3) = 81
(c) log (x-3) + log (x) = 1
(d) log2 (x2 – 6x) = 3 + log2 (1-x)
1 solutions
Answer 119335 by jim_thompson5910(28598) on 2008-10-13 22:22:33 (Show Source):
You can put this solution on YOUR website!I'll do the first two to get you started
1)
 Start with the given equation
 Distribute
 Subtract 32 from both sides
Notice we have a quadratic equation in the form of  where  ,  , and
Let's use the quadratic formula to solve for x
 Start with the quadratic formula
 Plug in  ,  , and
 Square  to get  .
 Multiply  to get
 Rewrite  as
 Add  to  to get
 Multiply  and  to get  .
 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)
 or  Break up the expression.
 or  Reduce
So the answers are  or
which approximate to  or
2)
 Start with the given equation
 FOIL
 Subtract 81 from both sides
 Combine like terms.
Notice we have a quadratic equation in the form of  where  ,  , and
Let's use the quadratic formula to solve for x
 Start with the quadratic formula
 Plug in  ,  , and
 Square  to get  .
 Multiply  to get
 Rewrite  as
 Add  to  to get
 Multiply  and  to get  .
 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)
 or  Break up the expression.
So the answers are  or
which approximate to  or
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Graphs/161944: Find the slope and y-intercept of -9x + 6y = 54
Here is what I did:
-9x + 6y = 54
+9x +9x
--------------
6y = 9x + 54
6y/6 (6y over 6) = 9x/6 (9x over 6) + 54/6 (54 over 6)
y = 9/6 (9 over 6) + 9
Simplified : y = 3/2x (3 over 2) + 9
So the answer I came up with is 9 is the slope, and the y-intercept is 3/2 (3 over 2).
Correct?? 1 solutions
Answer 119334 by jim_thompson5910(28598) on 2008-10-13 22:18:07 (Show Source):
You can put this solution on YOUR website!You work is perfect, but your conclusion is backwards. The slope is  and the y-intercept is (0,9)
Remember, for any slope-intercept equation  the slope is "m" and the y-intercept is (0,b)
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Linear-equations/161943: find the gradient of the line 2y - 3x = 5, and draw the line on a graph paper 1 solutions
Answer 119332 by jim_thompson5910(28598) on 2008-10-13 22:15:30 (Show Source):
You can put this solution on YOUR website!
 Start with the given equation.
 Add  to both sides.
 Rearrange the terms.
 Divide both sides by  to isolate y.
 Break up the fraction.
 Reduce.
So the equation  is now in slope intercept form  where the slope (ie gradient) is  and the y-intercept is
Since  this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point ) which is (0,2.5)
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 3 and the run is 2. This means that to go from point to point, we can go up 3 and over 2
So starting at ) , go up 3 units
and to the right 2 units to get to the next point
Now draw a line through these points to graph
 So this is the graph of  through the points ) and
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Linear-systems/161930: the difference between two complementary angles is 50 degrees. what is the measure of the larger angle? 1 solutions
Answer 119324 by jim_thompson5910(28598) on 2008-10-13 21:45:25 (Show Source):
You can put this solution on YOUR website!Complementary angles ALWAYS add to 90 degrees. So this means that  . Since "difference between two complementary angles is 50 degrees", this means that
So we have the system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
 Group like terms.
 Combine like terms. Notice how the y terms cancel out.
 Simplify.
 Divide both sides by  to isolate  .
 Reduce. So the first angle is 70 degrees.
------------------------------------------------------------------
 Now go back to the first equation.
 Plug in  .
 Multiply.
 Subtract  from both sides.
 Combine like terms on the right side. So the second angle is 20 degrees
So our answer is  and  . So the larger angle is 70 degrees.
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Exponents/161863: This question is from textbook McDougal Littell
I'm working on expression using only positive exponents . I have 7p-6
I think the answer is 1
_________
7p6 does this look correct? Also Y12. Y12
I think that answer is Y24 Am I right in my thinking? 1 solutions
Answer 119321 by jim_thompson5910(28598) on 2008-10-13 21:40:37 (Show Source):
You can put this solution on YOUR website!I'm assuming that the expression is  right? If it is, then  where
----------------------------------------
Or...
If the expression is  , then  where
Note: the only difference between the two expressions is a change of parenthesis
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Equations/161695: 2(3+7x) - (1+15x)=2
2(4+3r) = 3(r +1) + 11
1/4x - 4 = 3/2x+3/4x
3/4(a-2)-1/3(5-2a)=-2
1 solutions
Answer 119176 by jim_thompson5910(28598) on 2008-10-13 00:05:20 (Show Source):
You can put this solution on YOUR website!I'll do the first one to get you started
 Start with the given equation.
 Distribute.
 Combine like terms on the left side.
 Subtract  from both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the answer is
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Linear-systems/161680: This question is from textbook intermediate algebra
this is an elimination problem i can not get it.
3x+2y=3
9x-8y=-2 1 solutions
Answer 119158 by jim_thompson5910(28598) on 2008-10-12 20:44:42 (Show Source):
You can put this solution on YOUR website!
Start with the given system of equations:
 Multiply the both sides of the first equation by 4.
 Distribute and multiply.
So we have the new system of equations:
Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
 Group like terms.
 Combine like terms. Notice how the y terms cancel out.
 Simplify.
 Divide both sides by  to isolate  .
So the first part of the answer is
------------------------------------------------------------------
 Now go back to the first equation.
 Plug in  .
 Multiply.
 Multiply both sides by the LCD  to clear any fractions.
 Distribute and multiply.
 Subtract  from both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
So the second part of the answer is
=========================
Answer:
So the solutions are  and  which forms the ordered pair
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Vectors/161537: If // v // = 2, what is //-4v//? 1 solutions
Answer 119144 by jim_thompson5910(28598) on 2008-10-12 19:16:09 (Show Source):
You can put this solution on YOUR website!Let  . Since ||v||=2, this means that
Now let's compute  :
 Start with the given vector
 Multiply both sides by -4
 Distribute
So this means:
||-4v||=  =4||v||
So this shows us that the length of ||-4v|| is simply 4 times that of ||v||. So the length of ||-4v|| is 8 units
In other words, ||-4v||=8
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Exponents/161664: I haven't done a problem like this for several years and I don't remember how to solve it! It's driving me crazy! Here is the problem:
1024=2^n-1. Solve for n.
I don't remember how to bring the exponent (n-1) down so that I can solve for n. 1 solutions
Answer 119138 by jim_thompson5910(28598) on 2008-10-12 18:40:30 (Show Source):
You can put this solution on YOUR website!There are at least two ways to solve this
Method #1:
 Start with the given equation
 Rewrite 1,024 as  . This is possible since
Since the bases are equal (they are both 2), this means that the exponents are equal. So
 Set the exponents equal to one another.
 Add 1 to both sides.
 Add.
So the answer is
=================================================
Method #2
 Start with the given equation
 Take the log of both sides.
 Rewrite the right side using the identity
 Divide both sides by
 Evaluate  to get 10
 Add 1 to both sides.
 Add.
So the answer is
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Systems-of-equations/161600: My worksheet says:
Solve the system of equations:
3X+2Y=17
2X-Y=9
Please help
thanks 1 solutions
Answer 119081 by jim_thompson5910(28598) on 2008-10-12 11:18:49 (Show Source):
You can put this solution on YOUR website!
Start with the given system of equations:
 Multiply the both sides of the second equation by 2.
 Distribute and multiply.
So we have the new system of equations:
Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
 Group like terms.
 Combine like terms. Notice how the y terms cancel out.
 Simplify.
 Divide both sides by  to isolate  .
 Reduce.
------------------------------------------------------------------
 Now go back to the first equation.
 Plug in  .
 Multiply.
 Subtract  from both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
So our answer is  and  .
Which form the ordered pair ) .
This means that the system is consistent and independent.
Notice when we graph the equations, we see that they intersect at ) . So this visually verifies our answer.
 Graph of  (red) and  (green)
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Linear-equations/161509: 3/4x-5=2/3x 1 solutions
Answer 118970 by jim_thompson5910(28598) on 2008-10-11 14:23:15 (Show Source):
You can put this solution on YOUR website!
 Start with the given equation.
 Multiply both sides by the LCD  to clear any fractions.
 Distribute and multiply.
 Add  to both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
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Answer:
So the answer is
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Equations/161510: solve for x***
(1/10) - (x-4/x) = (1/x) + (3/20)
1 solutions
Answer 118969 by jim_thompson5910(28598) on 2008-10-11 14:22:29 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Multiply every term by the LCD  to clear the fractions.
 Multiply and simplify
 Distribute.
 Combine like terms on the left side.
 Subtract  from both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
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Answer:
So the answer is  which approximates to  .
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Equations/161508: solve for x
(1/x) - (x-4/x) = (1/x) + (3/20) 1 solutions
Answer 118967 by jim_thompson5910(28598) on 2008-10-11 14:12:39 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Multiply every term by the LCD  to clear the fractions.
 Multiply and simplify
 Distribute.
 Combine like terms on the left side.
 Subtract  from both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the answer is  which approximates to  .
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Graphs/161506: explain the basic method for graphing a linear equation. Please gie me an exmple and show how it would be graphed. 1 solutions
Answer 118961 by jim_thompson5910(28598) on 2008-10-11 13:27:45 (Show Source):
You can put this solution on YOUR website!Let's say that you have the equation  and you want to graph it.
Looking at  we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is
Since  this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2
So starting at ) , go up 1 unit
and to the right 2 units to get to the next point
Now draw a line through these points to graph
 So this is the graph of  through the points ) and
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Square-cubic-other-roots/161504: 1) The Path of a falling object is given by the function s=-16t^2+v^o t+s^o where v^o represents the initial velocity in ft/sec and s^o represents the initial height in feet.
A) If a rock is thrown upward what an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (S) equation using this information.
I got s=-16t^2+64t+25
B) How high is the rock after 1 second?
I got s=-16*1^2+64*1+25 so s=73
The questions I need the help on is C)& D)
C) After how many seconds will the graph reach maximum height?
D) What is the maximim height?
1 solutions
Answer 118960 by jim_thompson5910(28598) on 2008-10-11 13:25:41 (Show Source):
You can put this solution on YOUR website!Note: I'm replacing "s" with "y" and "t" with "x" to get the equation
To answers questions C and D, we need to find the vertex. Remember, the vertex represents the highest/lowest point.
In order to find the vertex, we first need to find the x-coordinate of the vertex.
To find the x-coordinate of the vertex, use this formula:  .
 Start with the given formula.
From  , we can see that  ,  , and  .
 Plug in  and  .
 Multiply 2 and  to get  .
 Divide.
So the x-coordinate of the vertex is  . Note: this means that the axis of symmetry is also  .
Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex.
 Start with the given equation.
 Plug in  .
 Square  to get  .
 Multiply  and  to get  .
 Multiply  and  to get  .
 Combine like terms.
So the y-coordinate of the vertex is  .
So the vertex is ) .
Since the vertex is ) , this means that  and  .
So at 2 seconds, the object is at the highest point of 89 feet.
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Graphs/161493: How can I solve the inequality 8x<-24 and then graph the solutions? 1 solutions
Answer 118955 by jim_thompson5910(28598) on 2008-10-11 12:07:29 (Show Source):
You can put this solution on YOUR website!
 Start with the given inequality.
 Divide both sides by  to isolate  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the answer is
So the answer in interval notation is
Also, the answer in set-builder notation is
Here's the graph of the solution set
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Distributive-associative-commutative-properties/161473: (5x-6)(5x_6)
I tried to answer this but it made no sice in the end I has -25-60x24 1 solutions
Answer 118923 by jim_thompson5910(28598) on 2008-10-11 00:15:16 (Show Source):
You can put this solution on YOUR website!
 Start with the given expression.
Now let's FOIL the expression.
Remember, when you FOIL an expression, you follow this procedure:
 Multiply the First terms:  .
 Multiply the Outer terms:  .
 Multiply the Inner terms:  .
 Multiply the Last terms:  .
 Now collect every term to make a single expression.
 Now combine like terms.
So  FOILs to  .
In other words,  .
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test/161474: (11x+3y)(x+4y) I tried to do the foil method
11x^2+44xy+3yx+12y^2 1 solutions
Answer 118922 by jim_thompson5910(28598) on 2008-10-11 00:14:09 (Show Source):
You can put this solution on YOUR website!You're doing great. Now you just need to combine like terms.
The terms that have "xy" and "yx" are the same terms (since you can switch the terms), which that means that  is the same as  . So the expression also looks like this:
 Now combine like terms.
So  FOILs to
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