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:The answer is X= 5.
Using the pythagorean theorem, and assuming that "b" is 3, half of 6 because the triangle is isosceles, you can solve the problem.
Step-by-step explanation:
Answer:
1. u = 10
2. c = 22
3. k = 30.3
4. a = 1.9
5. b = 47.6
6. n = 4
Step-by-step explanation:
Answer:
The probability is 1/4.
Step-by-step explanation:
To find the probability of two events occurring, find the probability of each event and multiply the two probabilities:
The probability of 1 coin landing on tails is 1/2.
The probability of another coin landing on tails is 1/2.
Multiply the probabilities:
1/2 * 1/2 = 1/4
2 + 3x = x + 2 + 2x <em>combine like terms</em>
2 + 3x = (x + 2x) + 2
2 + 3x = 3x + 2 <em>subtract 3x from both sides</em>
2 = 2 TRUE
Answer: all real numbers (identity)
