Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33
Answer:
13 in
Step-by-step explanation:
It’s a right triangle, so use the Pythagorean Theorem.
12²+5²=c²
144+25=c²
169=c²
√169=c
13=c
The answer is D one third of AB.
Answer:
1/5525 ≈ 0.018%
Step-by-step explanation:
There are 4 kings in a standard deck of 52 cards.
The probability that the first card is a king is 4/52.
The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).
The probability that the third card is a king is 2/50.
The probability of choosing 3 king cards is therefore:
P = (4/52) (3/51) (2/50)
P = (1/13) (1/17) (1/25)
P = 1/5525
P ≈ 0.018%
2/6 because if I multiply the denominator and numerator by 2 it would equal 2/6.
