Answer:

Step-by-step explanation:
The equation for a circle is  , where
, where  is the vertex of the circle and
 is the vertex of the circle and  is the radius. Immediately, since the center of the circle is given, we know what
 is the radius. Immediately, since the center of the circle is given, we know what  and
 and  are.
 are.  is 230 and
 is 230 and  is 220.
 is 220. 
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that  , where
, where  is the change in the x-coordinates of the two points and
 is the change in the x-coordinates of the two points and  is the change in the y-coordinates of the two points. Plug-in
 is the change in the y-coordinates of the two points. Plug-in  for 60 and
 for 60 and  for 50 to get
 for 50 to get  . Solve for
. Solve for  , arriving at
, arriving at  . Therefore, the radius of the circle is
. Therefore, the radius of the circle is  .
.
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for  , 220 for
, 220 for  , and
, and  for
 for  .
.
The equation of the circle will be  .
. 
Hope this helps :)
 
        
             
        
        
        
Answer:
It's correct!
Step-by-step explanation:
 
        
             
        
        
        
The first one
Running forward is adding
Running opposite direction is subtracting
5-5
5-6
6-5
6-0
5-5 is the only one that equals 0
        
             
        
        
        
Answer:
The rule of the translation is  (x,y) ----> (x+3,y-6)
The coordinates of the duck’s final position are (4,-3)
Step-by-step explanation:
we know that
A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down
That means -----> The rule of the translation is 
3 units right ----> x+3
6 units down ---> y-6
so
(x,y) ----> (x+3,y-6)
To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position
so
(1,3) ------> (1+3,3-6)
(1,3) ------> (4,-3)
 
        
             
        
        
        
Well, it cant be option B because then it wuld be half the time (180 mins.)
It cant be option D becasue then it would be over 360 mins, seeing that it only took 8 mins to type 360
And it cant be option C beacuse it would be too small, if 4 mins is to small then 3 mins is worse
Your answer would be A 5 minutes it's just a little bit above 4 mins(half)