Expert: Paul Klarreich - 10/7/2009

Question
Im not sure if i have this math problem right and there are one or two i don't understand how to do so if you please check them out for me
1. Find the center and the radius of a circle, given the following equation of the circle
                      X^2 +y^2=100
The answers
  A circle of radius r about center (h,k) is (x-h)^2 t (y-k)^2=r^2 this one is center about the origin (0,0) with a radius of 10 (squart (100) )
(0,0):10

2. Find the distance between the pair of points  (-2,6) and (7, -3)
Answer 

3. Given f(x)=8x-2 and g (x) = 2x - 3 find f-g
Not sure how to do this one help please

4. Write the standard form of the equation of the circle with the given center (-2, -4) and radius 6
Answer (x+2)^2 + (y+4)^2=36


5. Given f(x) =2-2x and g(x)=-6x+2 find f and g
Answer I have two answer for this one not sure what one is wright
Ftg=2-2+6x+2x=2+6x  or  = (2-2) + (6x + 2+) = 2-2x-6x+2=-8x+4


6. Given f(x)=5x+4 and g(x)=3x-8
Answer 15x^2-28x-32


7. Find the midpoint of the line segment with the given  end point  (2,1) and (6,8)
Answer 4 9/2


8. Given f(x)=5x+7 and g(x)=5x-1 find (fog) (x)
Answer 25x+2

9. Given f(x)= -3x+2  and g (x) =2x+9: find (gof) (x)
Answer -6x+13

10. Find the distance between the pair of points (-1, 4) and (-5, 7)
Answer 5  

Answer
Questioner: laurie
Country: United States
Category: Advanced Math
Private: No
Subject: college math 1
Question: Im not sure if i have this math problem right and there are one or two i don't understand how to do so if you please check them out for me
.........................................
Hi, Laurie,

Sorry, but this is not a check-your-homework-for-you site.  That is your teacher's job.

I'll do what I can, but no guarantees and no complete solutions.
........................................
1. Find the center and the radius of a circle, given the following equation of the circle
                     X^2 +y^2=100
The answers
 A circle of radius r about center (h,k) is (x-h)^2 t (y-k)^2=r^2 this one is center about the origin (0,0) with a radius of 10 (sqrt (100) )
(0,0):10
>> OK.

2. Find the distance between the pair of points  (-2,6) and (7, -3)
Answer:  

>> Use the distance formula.

3. Given f(x)=8x-2 and g (x) = 2x - 3 find f-g
Not sure how to do this one help please

>>> f-g just means subtract. (don't forget the parentheses.)

4. Write the standard form of the equation of the circle with the given center (-2, -4) and radius 6
Answer (x+2)^2 + (y+4)^2=36

>> OK.

5. Given f(x) =2-2x and g(x)=-6x+2 find f and g
Answer I have two answer for this one not sure what one is wright
Ftg=2-2+6x+2x=2+6x  or  = (2-2) + (6x + 2+) = 2-2x-6x+2=-8x+4

>> Not clear what you are suppose to do.

6. Given f(x)=5x+4 and g(x)=3x-8
Answer 15x^2-28x-32

>> ?????

7. Find the midpoint of the line segment with the given  end point  (2,1) and (6,8)
Answer 4 9/2
>>  (4, 9/2)

8. Given f(x)=5x+7 and g(x)=5x-1 find (fog) (x)
Answer 25x+2

>> OK, but use the notation:   f(g(x)).  Then you will know what to do:

9. Given f(x)= -3x+2  and g (x) =2x+9: find (gof) (x)
Answer -6x+13

>> OK.

10. Find the distance between the pair of points (-1, 4) and (-5, 7)
Answer 5

>> OK.