Answer:
Step-by-step explanation:
The equation for a circle is 
, where 
is the vertex of the circle and 
is the radius. Immediately, since the center of the circle is given, we know what 
and 
are. is 230 and 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 
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 for 60 and for 50 to get 
. Solve for 
, arriving at 
. 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 , and for .
The equation of the circle will be .
Hope this helps :)
Answer: the answer to lg is 18
Answer:
40 seconds
Step-by-step explanation:
The ratio would be 3:120, indicating the amount of times it went up for air in 120 seconds. In order to find the answer, we'll find the unit rate. 120 divided by 3 is evenly 40. That means, the unit rate is 1:40. It also means that 40 seconds went by before the manatee surfaced the first time (if it held its breath for the same rate).
Use the identity:-
a^2 + b^2 = (a + b)^2 - 2ab
Plugging in the given values;-
a^2 + b^2 = 6^2 - 2*7 = 36-14 = 22 Answer
Usually it's fun when you know what's going on....
