Differentiate both sides of the equation of the circle with respect to 
, treating 
as a function of :
This gives the slope of any line tangent to the circle at the point 
.
Rewriting the given line in slope-intercept form tells us its slope is
In order for this line to be tangent to the circle, it must intersect the circle at the point such that
In the equation of the circle, we have
If 
, then 
, so we omit this case.
If 
, then 
, as expected. Therefore 
is a tangent line to the circle 
at the point (1, -2).
Answer:
-5.5
Step-by-step explanation:
well lets make an equation first. 4x-6<-2 . Now we have to find what x equals.
And now we know that x<1
Answer:
0.832 percent or if you need it rounded 83 percent of guests.
Step-by-step explanation:
104/125= 0.832
Hope this helps!
Answer:
You have 1/60 of the original hair color left
Step-by-step explanation:
Add up the fractions
1/3 + 1/4 + 2/5
Get a common denominator of 60
1/3 * 20/20 + 1/4 * 15/15 + 2/5 * 12/12
20/60 + 15/60 + 24/60
59/60
The total is 1 or 60/60
60/60 - 59/60
1/60
You have 1/60 of the original hair color left
