Number of remaining rose cards = 6
number of remaining cards = 8
P(rose card) = 6/8
P(blue marble) = 18/50
P(tail) = 30/50
P(blue marble and tail) = 18/50 x 30/50 = 540/2500
The point (2, 5) is not on the curve; probably you meant to say (2, -5)?
Consider an arbitrary point Q on the curve to the right of P,
, where
. The slope of the secant line through P and Q is given by the difference quotient,

where we are allowed to simplify because
.
Then the equation of the secant line is

Taking the limit as
, we have

so the slope of the line tangent to the curve at P as slope 2.
- - -
We can verify this with differentiation. Taking the derivative, we get

and at
, we get a slope of
, as expected.
Answer: 1, 4
Step-by-step explanation:
- Number #1 = x
- Number #2 =


- Number #1 = x = 4
- Number #2 =
= 
Answer:
Step-by-step explanation:
The person I sent it to couldn't see it either. I'm going to take a chance and say the Chord (AB) and the Tangent line form a 50 degree angle. If this is incorrect, I won't know, from the diagram, what else to try.
If I'm right then <OAB = 40 degrees because 90 - 50 = 40 because <AOC is a right angle (property of radii and tangents).
<ABO also = 40 (the triangle is isosceles by two legs being radii).
That means that BOA = 180 - 40 - 40 = 100